## Gilardi, Gianni

Compute Distance To:
 Author ID: gilardi.gianni.1 Published as: Gilardi, Gianni; Gilardi, G.
 Documents Indexed: 112 Publications since 1972 2 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 36 Co-Authors with 98 Joint Publications 1,323 Co-Co-Authors
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### Co-Authors

 16 single-authored 72 Colli, Pierluigi 44 Sprekels, Jürgen 13 Rocca, Elisabetta 9 Grasselli, Maurizio 8 Guidugli, Paolo Podio 8 Marinoschi, Gabriela 6 Bonetti, Elena 6 Schimperna, Giulio 5 Krejčí, Pavel 4 Barbu, Viorel 4 Fabrizio, Mauro 2 Alt, Hans Wilhelm 2 Carrillo Menéndez, José 2 Gastaldi, Fabio 2 Hilhorst, Danielle 2 Luckhaus, Stephan 2 Marson, Andrea 2 Miranville, Alain M. 2 Stefanelli, Ulisse 1 Bernardi, Marco Luigi 1 Brezzi, Franco 1 Caffarelli, Luis Ángel 1 Chan Hong, J. R. 1 Colli Franzone, Piero 1 Diaz Diaz, Jesus Ildefonso 1 Dreyer, Wolfgang 1 Farshbaf-Shaker, Mohammad Hassan 1 Fernandes, Paolo R. 1 Gastaldi, Lucia 1 Geymonat, Giuseppe 1 Gianazza, Ugo Pietro 1 Hömberg, Dietmar 1 Hongfei, Zhang 1 Kröner, Dietmar 1 Laurençot, Philippe 1 Munteanu, Ionut 1 Nakayashiki, Ryota 1 Novick-Cohen, Amy 1 Podio-Guidugli, Paulo 1 Sharf, Inna 1 Shirakawa, Ken 1 van Duijn, Cornelis Johannes
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### Serials

 5 Journal of Differential Equations 4 Mathematical Methods in the Applied Sciences 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Mathematical Analysis and Applications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Optimization 3 SIAM Journal on Control and Optimization 3 Advances in Mathematical Sciences and Applications 3 Discrete and Continuous Dynamical Systems 3 Evolution Equations and Control Theory 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Optimization Theory and Applications 2 Asymptotic Analysis 2 Differential and Integral Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A 2 Mathematical Control and Related Fields 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Applied Mathematics 1 International Journal of Control 1 Nonlinearity 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Control and Cybernetics 1 Hiroshima Mathematical Journal 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Revista Matemática de la Universidad Complutense de Madrid 1 Applications of Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Continuum Mechanics and Thermodynamics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Communications on Applied Nonlinear Analysis 1 Mechanism and Machine Theory 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 1 Rendiconti. Classe di Scienze Matematiche e Naturali 1 Springer INdAM Series 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations 1 AIMS Mathematics
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### Fields

 95 Partial differential equations (35-XX) 30 Classical thermodynamics, heat transfer (80-XX) 27 Mechanics of deformable solids (74-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 19 Fluid mechanics (76-XX) 12 Integral equations (45-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 7 Systems theory; control (93-XX) 5 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

96 Publications have been cited 1,183 times in 516 Documents Cited by Year
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123
Fernandes, Paolo; Gilardi, Gianni
1997
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417
Gilardi, Gianni; Miranville, A.; Schimperna, Giulio
2009
Literature survey of contact dynamics modelling. Zbl 1062.70553
Gilardi, G.; Sharf, I.
2002
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2014
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
2015
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2015
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033
Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1223.35067
Gilardi, Gianni; Miranville, Alain; Schimperna, Giulio
2010
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Well-posedness of the weak formulation for the phase-field model with memory. Zbl 1023.45501
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2011
A new approach to evolution free boundary problems. Zbl 0426.35096
Gilardi, Gianni
1979
On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066
Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen
2002
The behavior of the free boundary for the dam problem. Zbl 0521.76092
Alt, Hans Wilhelm; Gilardi, Gianni
1982
Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2012
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036
Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
2000
The conserved phase-field system with memory. Zbl 0982.80006
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Global solution to a singular integro-differential system related to the entropy balance. Zbl 1128.35056
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2007
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162
Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken
2017
Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2019
Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity. Zbl 1123.35309
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2006
Uniqueness and long-time behavior for the conserved phase-field system with memory. Zbl 0981.74012
Colli, Pierluigi; Gilardi, Gianni; Laurençot, Philippe; Novick-Cohen, Amy
1999
Global smooth solution to the standard phase-field model with memory. Zbl 1023.45500
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Counter-example to Korn’s inequality and to the lemma of Lions in irregular domains. (Contre-exemples à l’inégalité de Korn et au lemme de Lions dans des domaines irréguliers.) Zbl 0915.35018
Geymonat, Giuseppe; Gilardi, Gianni
1998
Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
On a conserved phase field model with irregular potentials and dynamic boundary conditions. Zbl 1203.35193
Gilardi, Gianni
2009
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
La vitesse de propagation dans le problème de la digue. (The speed of propagation in the dam problem). Zbl 0723.76094
Carrillo, José; Gilardi, Gianni
1990
Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Monotonicity of free boundary in the two-dimensional dam problem. Zbl 0513.76090
Caffarelli, Luis A.; Gilardi, Gianni
1980
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Teoremi di regolarita per la soluzione di un’equazione differenziale astratta lineare del secondo ordine. Zbl 0298.34057
Gilardi, Gianni
1972
Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007
Gilardi, Gianni; Rocca, Elisabetta
2007
A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. Zbl 1327.49007
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2016
A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Optimal control problems of phase relaxation models. Zbl 1008.49003
Barbu, V.; Bernardi, M. L.; Colli, P.; Gilardi, G.
2001
Time-discretization and global solution for a doubly nonlinear Volterra equation. Zbl 1104.45005
Gilardi, Gianni; Stefanelli, Ulisse
2006
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Studio di una disequazione quasivariazionale relativa ad un problema di filtrazione in tre dimensioni. Zbl 0364.76079
Gilardi, Gianni
1977
On a Penrose-Fife type system with Dirichlet boundary conditions for temperature. Zbl 1029.82014
Gilardi, Gianni; Marson, Andrea
2003
Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2009
Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297
Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J.
2012
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
2014
Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35269
Gilardi, Gianni; Sprekels, Jürgen
2019
Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems. Zbl 1451.49008
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness, regularity and asymptotic analyses for a fractional phase field system. Zbl 1443.35154
Colli, Pierluigi; Gilardi, Gianni
2019
Optimal distributed control of a generalized fractional Cahn-Hilliard system. Zbl 1447.35181
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
Well-posedness and regularity for a fractional tumor growth model. Zbl 1477.35282
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007
Gilardi, Gianni; Rocca, Elisabetta
2006
Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1364.35130
Colli, Pierluigi; Gilardi, Gianni; Sprekels, J.
2017
Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083
Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni
2014
Asymptotic analysis of a tumor growth model with fractional operators. Zbl 1476.35284
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
Distributed optimal control of a nonstandard nonlocal phase field system. Zbl 1428.49025
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Studio di una famiglia di disequazioni quasi-variazionali connessa con un problema di frontiera libera. Zbl 0355.76064
Gilardi, Gianni
1976
Asymptotic analysis of a phase field model with memory for vanishing time relaxation. Zbl 0927.35022
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1999
Existence for a doubly nonlinear Volterra equation. Zbl 1151.45003
Gilardi, Gianni; Stefanelli, Ulisse
2007
Asymptotic justification of the phase-field model with memory. Zbl 1110.35355
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1999
On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35044
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Hysteresis in phase-field models with thermal memory. Zbl 0957.35064
Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2000
Convergence of phase field to phase relaxation models with memory. Zbl 0880.35052
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1996
Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2017
Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials. Zbl 1458.35244
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2021
Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Stabilisation of a linearised Cahn-Hilliard system for phase separation by proportional boundary feedbacks. Zbl 1461.93400
Colli, Pierluigi; Gilardi, Gianni; Munteanu, Ionut
2021
The dam problem in unbounded domains. Zbl 0787.76086
Gilardi, Gianni; Kröner, Dietmar
1993
The support of the solution in the dam problem. Zbl 0793.76091
Gilardi, G.
1993
The propagation of the free boundary of the solution of the dam problem and related problems. Zbl 0790.35053
Carrillo, José; Díaz, Jesus Ildefonso; Gilardi, Gianni
1993
The conserved phase field system with memory. Zbl 0957.35123
Gilardi, Gianni
2000
A regularity result for the solution of the dam problem. Zbl 0845.35136
Gilardi, Gianni; Luckhaus, Stephan
1996
Weak solution to hyperbolic Stefan problems. Zbl 0878.35121
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Constrained evolution for a quasilinear parabolic equation. Zbl 1357.35197
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys. Zbl 1333.35271
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2016
On a definition of seminorm in $$W^{s,p}(\Gamma)$$. Zbl 0704.46023
Gastaldi, Fabio; Gilardi, Gianni
1989
The evolution dam problem. Zbl 0481.76099
Gilardi, G.
1980
An error estimate for an approximation of a parabolic variational inequality. Zbl 0523.65050
Gastaldi, Lucia; Gilardi, Gianni
1982
On a conserved Penrose-Fife type system. Zbl 1099.35022
Gilardi, Gianni; Marson, Andrea
2005
Limiting problems for a nonstandard viscous Cahn-Hilliard system with dynamic boundary conditions. Zbl 1406.74545
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials. Zbl 1458.35244
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2021
Stabilisation of a linearised Cahn-Hilliard system for phase separation by proportional boundary feedbacks. Zbl 1461.93400
Colli, Pierluigi; Gilardi, Gianni; Munteanu, Ionut
2021
Optimal distributed control of a generalized fractional Cahn-Hilliard system. Zbl 1447.35181
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
Asymptotic analysis of a tumor growth model with fractional operators. Zbl 1476.35284
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2020
Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2019
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. Zbl 1418.49003
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35269
Gilardi, Gianni; Sprekels, Jürgen
2019
Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems. Zbl 1451.49008
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Well-posedness, regularity and asymptotic analyses for a fractional phase field system. Zbl 1443.35154
Colli, Pierluigi; Gilardi, Gianni
2019
Well-posedness and regularity for a fractional tumor growth model. Zbl 1477.35282
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35044
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Limiting problems for a nonstandard viscous Cahn-Hilliard system with dynamic boundary conditions. Zbl 1406.74545
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2018
Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162
Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken
2017
Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2017
Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1364.35130
Colli, Pierluigi; Gilardi, Gianni; Sprekels, J.
2017
Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2017
A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
On an application of Tikhonov’s fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation. Zbl 1335.35100
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. Zbl 1327.49007
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela
2016
Distributed optimal control of a nonstandard nonlocal phase field system. Zbl 1428.49025
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Constrained evolution for a quasilinear parabolic equation. Zbl 1357.35197
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2016
Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys. Zbl 1333.35271
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2016
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
2015
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2015
Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. Zbl 1326.49033
Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1334.35097
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2015
Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. Zbl 1335.49036
Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
2015
On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2014
A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
2014
Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083
Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni
2014
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2012
Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2012
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297
Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J.
2012
Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2011
Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1223.35067
Gilardi, Gianni; Miranville, Alain; Schimperna, Giulio
2010
Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417
Gilardi, Gianni; Miranville, A.; Schimperna, Giulio
2009
On a conserved phase field model with irregular potentials and dynamic boundary conditions. Zbl 1203.35193
Gilardi, Gianni
2009
Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2009
Global solution to a singular integro-differential system related to the entropy balance. Zbl 1128.35056
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2007
Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007
Gilardi, Gianni; Rocca, Elisabetta
2007
Existence for a doubly nonlinear Volterra equation. Zbl 1151.45003
Gilardi, Gianni; Stefanelli, Ulisse
2007
Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity. Zbl 1123.35309
Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni
2006
Time-discretization and global solution for a doubly nonlinear Volterra equation. Zbl 1104.45005
Gilardi, Gianni; Stefanelli, Ulisse
2006
Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007
Gilardi, Gianni; Rocca, Elisabetta
2006
On a conserved Penrose-Fife type system. Zbl 1099.35022
Gilardi, Gianni; Marson, Andrea
2005
On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature. Zbl 1224.35222
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Schimperna, Giulio
2004
On a Penrose-Fife type system with Dirichlet boundary conditions for temperature. Zbl 1029.82014
Gilardi, Gianni; Marson, Andrea
2003
Literature survey of contact dynamics modelling. Zbl 1062.70553
Gilardi, G.; Sharf, I.
2002
On a model for phase separation in binary alloys driven by mechanical effects. Zbl 1008.74066
Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen
2002
The conserved phase-field system with memory. Zbl 0982.80006
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Optimal control problems of phase relaxation models. Zbl 1008.49003
Barbu, V.; Bernardi, M. L.; Colli, P.; Gilardi, G.
2001
Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006
Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
2000
Hysteresis in phase-field models with thermal memory. Zbl 0957.35064
Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2000
The conserved phase field system with memory. Zbl 0957.35123
Gilardi, Gianni
2000
Uniqueness and long-time behavior for the conserved phase-field system with memory. Zbl 0981.74012
Colli, Pierluigi; Gilardi, Gianni; Laurençot, Philippe; Novick-Cohen, Amy
1999
Asymptotic analysis of a phase field model with memory for vanishing time relaxation. Zbl 0927.35022
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1999
Asymptotic justification of the phase-field model with memory. Zbl 1110.35355
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1999
Counter-example to Korn’s inequality and to the lemma of Lions in irregular domains. (Contre-exemples à l’inégalité de Korn et au lemme de Lions dans des domaines irréguliers.) Zbl 0915.35018
Geymonat, Giuseppe; Gilardi, Gianni
1998
Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123
Fernandes, Paolo; Gilardi, Gianni
1997
Well-posedness of the weak formulation for the phase-field model with memory. Zbl 1023.45501
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Global smooth solution to the standard phase-field model with memory. Zbl 1023.45500
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Weak solution to hyperbolic Stefan problems. Zbl 0878.35121
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1997
Convergence of phase field to phase relaxation models with memory. Zbl 0880.35052
Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio
1996
A regularity result for the solution of the dam problem. Zbl 0845.35136
Gilardi, Gianni; Luckhaus, Stephan
1996
The dam problem in unbounded domains. Zbl 0787.76086
Gilardi, Gianni; Kröner, Dietmar
1993
The support of the solution in the dam problem. Zbl 0793.76091
Gilardi, G.
1993
The propagation of the free boundary of the solution of the dam problem and related problems. Zbl 0790.35053
Carrillo, José; Díaz, Jesus Ildefonso; Gilardi, Gianni
1993
La vitesse de propagation dans le problème de la digue. (The speed of propagation in the dam problem). Zbl 0723.76094
Carrillo, José; Gilardi, Gianni
1990
On a definition of seminorm in $$W^{s,p}(\Gamma)$$. Zbl 0704.46023
Gastaldi, Fabio; Gilardi, Gianni
1989
The behavior of the free boundary for the dam problem. Zbl 0521.76092
Alt, Hans Wilhelm; Gilardi, Gianni
1982
An error estimate for an approximation of a parabolic variational inequality. Zbl 0523.65050
Gastaldi, Lucia; Gilardi, Gianni
1982
Monotonicity of free boundary in the two-dimensional dam problem. Zbl 0513.76090
Caffarelli, Luis A.; Gilardi, Gianni
1980
The evolution dam problem. Zbl 0481.76099
Gilardi, G.
1980
A new approach to evolution free boundary problems. Zbl 0426.35096
Gilardi, Gianni
1979
Studio di una disequazione quasivariazionale relativa ad un problema di filtrazione in tre dimensioni. Zbl 0364.76079
Gilardi, Gianni
1977
Studio di una famiglia di disequazioni quasi-variazionali connessa con un problema di frontiera libera. Zbl 0355.76064
Gilardi, Gianni
1976
Teoremi di regolarita per la soluzione di un’equazione differenziale astratta lineare del secondo ordine. Zbl 0298.34057
Gilardi, Gianni
1972
all top 5

### Cited by 578 Authors

 67 Colli, Pierluigi 57 Gilardi, Gianni 38 Sprekels, Jürgen 31 Rocca, Elisabetta 22 Miranville, Alain M. 19 Schimperna, Giulio 18 Scarpa, Luca 15 Bonetti, Elena 15 Ciarlet, Patrick jun. 14 Signori, Andrea 13 Lam, Kei Fong 12 Garcke, Harald 11 Fukao, Takeshi 11 Marinoschi, Gabriela 8 Duan, Huoyuan 8 Grasselli, Maurizio 7 Bowling, Alan P. 7 Fabrizio, Mauro 7 Liu, Chein-Shan 6 Ciarlet, Philippe Gaston 6 Knopf, Patrik 6 Tan, Roger C. E. 6 Zheng, Jiashan 5 Alekseev, Gennady V. 5 Barbu, Viorel 5 Bonfanti, Giovanna 5 Carrillo Menéndez, José 5 Ebenbeck, Matthias 5 Flores, Paulo 5 Gal, Ciprian Gheorghe Sorin 5 Heinemann, Christian 5 Kraus, Christiane 5 Lyaghfouri, Abdeslem 5 Rossi, Riccarda 5 Shirakawa, Ken 5 Stefanelli, Ulisse 5 Wu, Hao 5 Zhao, Xiaopeng 5 Zhu, Peicheng 4 Alt, Hans Wilhelm 4 Chaumont-Frelet, Théophile 4 Cherfils, Laurence 4 Colturato, Michele 4 Davoli, Elisa 4 Frémond, Michel 4 Gatti, Stefania 4 Krejčí, Pavel 4 Perugia, Ilaria 4 Schötzau, Dominik 4 Segatti, Antonio 4 Serrano, Hélia 4 Tomassetti, Giuseppe 3 Alber, Hans-Dieter 3 Alonso Rodríguez, Ana 3 Barhorst, Alan A. 3 Bernardi, Marco Luigi 3 Biswas, Tania 3 Bonfoh, Ahmed S. 3 Buffa, Annalisa 3 Chatterjee, Abhishek 3 Colombo, Fabrizio 3 Durán, Ricardo G. 3 Feireisl, Eduard 3 Friedman, Avner 3 Frigeri, Sergio 3 Hintermüller, Michael 3 Jamelot, Erell 3 Kubo, Masahiro 3 Kubota, Shodai 3 Kurima, Shunsuke 3 Lin, Ping 3 Pata, Vittorino 3 Qi, Zhaohui 3 Scala, Riccardo 3 Schneebeli, Anna 3 Trussardi, Lara 3 Valli, Alberto 3 Visintin, Augusto 3 Vohralík, Martin 3 Wang, Yifu 3 Yamazaki, Noriaki 3 Zelik, Sergey V. 2 Acevedo, Ramiro 2 Acosta, Gabriel 2 Aizicovici, Sergiu 2 Ambrósio, Jorge A. C. 2 Amrouche, Chérif 2 Antil, Harbir 2 Argatov, Ivan I. 2 Arosio, Alberto 2 Askari, Ehsan 2 Auchmuty, Giles 2 Berti, Valeria 2 Boffi, Daniele 2 Boldrini, José Luiz 2 Bonnet-Ben Dhia, Anne-Sophie 2 Brizitskii, R. V. 2 Caffarelli, Luis Ángel 2 Cai, Guoping 2 Cavaterra, Cecilia ...and 478 more Authors
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### Cited in 137 Serials

 26 Journal of Mathematical Analysis and Applications 26 Multibody System Dynamics 22 Applied Mathematics and Optimization 22 Journal of Differential Equations 20 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Nonlinear Analysis. Real World Applications 11 Computer Methods in Applied Mechanics and Engineering 11 Mathematical Methods in the Applied Sciences 10 Annali di Matematica Pura ed Applicata. Serie Quarta 9 SIAM Journal on Mathematical Analysis 9 Communications on Pure and Applied Analysis 8 Numerische Mathematik 8 SIAM Journal on Control and Optimization 8 Discrete and Continuous Dynamical Systems 8 Boundary Value Problems 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Archive for Rational Mechanics and Analysis 7 Physica D 7 Asymptotic Analysis 7 Applications of Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 6 Journal of Scientific Computing 6 European Journal of Applied Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 AIMS Mathematics 5 International Journal of Control 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Journal of Computational and Applied Mathematics 5 Zeitschrift für Analysis und ihre Anwendungen 5 Journal of Integral Equations and Applications 5 Journal of Vibration and Control 5 Nonlinear Dynamics 5 Evolution Equations and Control Theory 4 Computers & Mathematics with Applications 4 Mathematics of Computation 4 Applied Numerical Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Journal of Evolution Equations 4 Discrete and Continuous Dynamical Systems. Series B 4 Mathematical Control and Related Fields 3 Applicable Analysis 3 Journal of Computational Physics 3 Nonlinearity 3 Calcolo 3 Journal of Optimization Theory and Applications 3 Meccanica 3 Quarterly of Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 Applied Mathematical Modelling 3 Communications in Partial Differential Equations 3 Journal of Nonlinear Science 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Analysis and Applications (Singapore) 3 Advances in Nonlinear Analysis 2 Journal of Mathematical Physics 2 Applied Mathematics and Computation 2 Automatica 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Applied Mathematics Letters 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal of Elasticity 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Scientific Computing 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mechanism and Machine Theory 2 Journal of Mathematical Fluid Mechanics 2 Interfaces and Free Boundaries 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Archives of Computational Methods in Engineering 2 Milan Journal of Mathematics 2 Acta Mechanica Sinica 2 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Elliptic and Parabolic Equations 1 International Journal of Engineering Science 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal of Solids and Structures 1 Journal of the Franklin Institute 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 International Journal of Mathematics and Mathematical Sciences 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 RAIRO. Analyse Numérique 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mechanics 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Forum Mathematicum 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Glasnik Matematički. Serija III 1 Expositiones Mathematicae ...and 37 more Serials
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### Cited in 35 Fields

 372 Partial differential equations (35-XX) 97 Mechanics of deformable solids (74-XX) 96 Fluid mechanics (76-XX) 93 Numerical analysis (65-XX) 90 Calculus of variations and optimal control; optimization (49-XX) 63 Classical thermodynamics, heat transfer (80-XX) 55 Optics, electromagnetic theory (78-XX) 51 Biology and other natural sciences (92-XX) 45 Mechanics of particles and systems (70-XX) 27 Integral equations (45-XX) 23 Systems theory; control (93-XX) 22 Statistical mechanics, structure of matter (82-XX) 18 Operator theory (47-XX) 17 Dynamical systems and ergodic theory (37-XX) 13 Ordinary differential equations (34-XX) 11 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Probability theory and stochastic processes (60-XX) 7 Real functions (26-XX) 5 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)