Edit Profile (opens in new tab) Gilardi, Gianni Co-Author Distance Author ID: gilardi.gianni.1 Published as: Gilardi, Gianni; Gilardi, G. Documents Indexed: 129 Publications since 1972, including 5 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 38 Co-Authors with 115 Joint Publications 1,603 Co-Co-Authors all top 5 Co-Authors 16 single-authored 87 Colli, Pierluigi 56 Sprekels, Jürgen 18 Rocca, Elisabetta 11 Marinoschi, Gabriela 9 Grasselli, Maurizio 8 Guidugli, Paolo Podio 8 Signori, Andrea 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 Auricchio, Ferdinando 1 Brezzi, Franco 1 Caffarelli, Luis Ángel 1 Chan Hong, J. R. 1 Colli Franzone, Piero 1 Díaz Díaz, Jesús 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 Reali, Alessandro 1 Sharf, Inna 1 Shirakawa, Ken 1 van Duijn, Cornelis Johannes all top 5 Serials 8 Discrete and Continuous Dynamical Systems. Series S 5 Mathematical Methods in the Applied Sciences 5 Applied Mathematics and Optimization 5 Journal of Differential Equations 5 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 3 Journal of Mathematical Analysis and Applications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Nonlinearity 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 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 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 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 Analysis and Applications (Singapore) 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 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 Pure and Applied Functional Analysis 1 AIMS Mathematics all top 5 Fields 110 Partial differential equations (35-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 30 Classical thermodynamics, heat transfer (80-XX) 27 Mechanics of deformable solids (74-XX) 19 Fluid mechanics (76-XX) 12 Integral equations (45-XX) 12 Biology and other natural sciences (92-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Systems theory; control (93-XX) 6 Functional analysis (46-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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 1,379 times in 600 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 94 1997 On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417 Gilardi, Gianni; Miranville, A.; Schimperna, Giulio 84 2009 Literature survey of contact dynamics modelling. Zbl 1062.70553 Gilardi, G.; Sharf, I. 64 2002 Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175 Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 57 2017 On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407 Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle 56 2015 On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 48 2014 A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 46 2015 A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 46 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 42 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 40 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 38 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 35 2017 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 24 2011 A new approach to evolution free boundary problems. Zbl 0426.35096 Gilardi, Gianni 24 1979 Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1391.49039 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 23 2018 Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 23 2012 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 22 2002 Well-posedness of the weak formulation for the phase-field model with memory. Zbl 1023.45501 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 21 1997 The behavior of the free boundary for the dam problem. Zbl 0521.76092 Alt, Hans Wilhelm; Gilardi, Gianni 19 1982 Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 19 2012 A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions. Zbl 1372.35162 Colli, Pierluigi; Gilardi, Gianni; Nakayashiki, Ryota; Shirakawa, Ken 18 2017 Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 17 2017 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 17 2015 On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 17 2018 The conserved phase-field system with memory. Zbl 0982.80006 Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 16 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 15 2007 Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006 Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 15 2000 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 14 1998 Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 14 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 14 2019 Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007 Gilardi, Gianni; Rocca, Elisabetta 13 2007 On a conserved phase field model with irregular potentials and dynamic boundary conditions. Zbl 1203.35193 Gilardi, Gianni 13 2009 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 13 1999 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 13 2006 Monotonicity of free boundary in the two-dimensional dam problem. Zbl 0513.76090 Caffarelli, Luis A.; Gilardi, Gianni 12 1980 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 12 1990 Global smooth solution to the standard phase-field model with memory. Zbl 1023.45500 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 12 1997 An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 12 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 12 2013 Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 11 2016 Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410 Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 11 2017 Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 11 2019 Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 11 2018 A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. Zbl 1327.49007 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela 10 2016 Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 10 2012 Teoremi di regolarita per la soluzione di un’equazione differenziale astratta lineare del secondo ordine. Zbl 0298.34057 Gilardi, Gianni 9 1972 Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35269 Gilardi, Gianni; Sprekels, Jürgen 9 2019 Optimal control problems of phase relaxation models. Zbl 1008.49003 Barbu, V.; Bernardi, M. L.; Colli, P.; Gilardi, G. 8 2001 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 8 2016 Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 8 2017 A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074 Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 8 2014 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 7 2004 Time-discretization and global solution for a doubly nonlinear Volterra equation. Zbl 1104.45005 Gilardi, Gianni; Stefanelli, Ulisse 7 2006 Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443 Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni 7 2009 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 7 2019 Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007 Gilardi, Gianni; Rocca, Elisabetta 6 2006 Studio di una disequazione quasivariazionale relativa ad un problema di filtrazione in tre dimensioni. Zbl 0364.76079 Gilardi, Gianni 6 1977 On a Penrose-Fife type system with Dirichlet boundary conditions for temperature. Zbl 1029.82014 Gilardi, Gianni; Marson, Andrea 6 2003 Optimal distributed control of a generalized fractional Cahn-Hilliard system. Zbl 1447.35181 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 6 2020 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 5 2010 Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 5 2018 Global existence for the conserved phase field model with memory and quadratic nonlinearity. Zbl 0985.35094 Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 5 2001 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 5 2014 Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1364.35130 Colli, Pierluigi; Gilardi, Gianni; Sprekels, J. 5 2017 Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility. Zbl 1292.35297 Colli, P.; Gilardi, G.; Podio-Guidugli, P.; Sprekels, J. 5 2012 A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172 Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 5 2014 Distributed optimal control of a nonstandard nonlocal phase field system. Zbl 1428.49025 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 5 2016 Well-posedness, regularity and asymptotic analyses for a fractional phase field system. Zbl 1443.35154 Colli, Pierluigi; Gilardi, Gianni 5 2019 Asymptotic analysis of a tumor growth model with fractional operators. Zbl 1476.35284 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 5 2020 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 5 2018 A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 4 2010 Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083 Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni 4 2014 Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term. Zbl 1500.35200 Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 4 2022 Well-posedness and regularity for a fractional tumor growth model. Zbl 1477.35282 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 4 2019 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 4 2021 Existence for a doubly nonlinear Volterra equation. Zbl 1151.45003 Gilardi, Gianni; Stefanelli, Ulisse 3 2007 Asymptotic analysis of a phase field model with memory for vanishing time relaxation. Zbl 0927.35022 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 3 1999 Asymptotic justification of the phase-field model with memory. Zbl 1110.35355 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 3 1999 Studio di una famiglia di disequazioni quasi-variazionali connessa con un problema di frontiera libera. Zbl 0355.76064 Gilardi, Gianni 3 1976 Hysteresis in phase-field models with thermal memory. Zbl 0957.35064 Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 2 2000 Convergence of phase field to phase relaxation models with memory. Zbl 0880.35052 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 2 1996 The dam problem in unbounded domains. Zbl 0787.76086 Gilardi, Gianni; Kröner, Dietmar 2 1993 The support of the solution in the dam problem. Zbl 0793.76091 Gilardi, G. 2 1993 Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113 Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela 2 2017 Optimal control of a phase field system of Caginalp type with fractional operators. Zbl 1505.35242 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 2 2022 Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 2 2018 The evolution dam problem. Zbl 0481.76099 Gilardi, G. 1 1980 An error estimate for an approximation of a parabolic variational inequality. Zbl 0523.65050 Gastaldi, Lucia; Gilardi, Gianni 1 1982 The conserved phase field system with memory. Zbl 0957.35123 Gilardi, Gianni 1 2000 A regularity result for the solution of the dam problem. Zbl 0845.35136 Gilardi, Gianni; Luckhaus, Stephan 1 1996 On a conserved Penrose-Fife type system. Zbl 1099.35022 Gilardi, Gianni; Marson, Andrea 1 2005 On a definition of seminorm in \(W^{s,p}(\Gamma)\). Zbl 0704.46023 Gastaldi, Fabio; Gilardi, Gianni 1 1989 Weak solution to hyperbolic Stefan problems. Zbl 0878.35121 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 1 1997 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 1 1993 Constrained evolution for a quasilinear parabolic equation. Zbl 1357.35197 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 1 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 1 2016 Optimal temperature distribution for a nonisothermal Cahn-Hilliard system in two dimensions with source term and double obstacle potential. Zbl 07762601 Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen 1 2023 Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential. Zbl 1526.49002 Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen 1 2023 Optimal control of a reaction-diffusion model related to the spread of COVID-19. Zbl 07785848 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 1 2024 Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials. Zbl 1521.35101 Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen 1 2023 Optimal control of a reaction-diffusion model related to the spread of COVID-19. Zbl 07785848 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 1 2024 Optimal temperature distribution for a nonisothermal Cahn-Hilliard system in two dimensions with source term and double obstacle potential. Zbl 07762601 Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen 1 2023 Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential. Zbl 1526.49002 Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen 1 2023 Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials. Zbl 1521.35101 Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen 1 2023 Well-posedness for a diffusion-reaction compartmental model simulating the spread of COVID-19. Zbl 07790744 Auricchio, Ferdinando; Colli, Pierluigi; Gilardi, Gianni; Reali, Alessandro; Rocca, Elisabetta 1 2023 Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term. Zbl 1500.35200 Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 4 2022 Optimal control of a phase field system of Caginalp type with fractional operators. Zbl 1505.35242 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 2 2022 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 4 2021 Stabilisation of a linearised Cahn-Hilliard system for phase separation by proportional boundary feedbacks. Zbl 1461.93400 Colli, Pierluigi; Gilardi, Gianni; Munteanu, Ionut 1 2021 An asymptotic analysis for a generalized Cahn-Hilliard system with fractional operators. Zbl 1470.35175 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 1 2021 Optimal distributed control of a generalized fractional Cahn-Hilliard system. Zbl 1447.35181 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 6 2020 Asymptotic analysis of a tumor growth model with fractional operators. Zbl 1476.35284 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 5 2020 Sliding mode control for a phase field system related to tumor growth. Zbl 1420.35434 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 14 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 14 2019 Well-posedness and regularity for a generalized fractional Cahn-Hilliard system. Zbl 1437.35425 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 11 2019 Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1404.35269 Gilardi, Gianni; Sprekels, Jürgen 9 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 7 2019 Well-posedness, regularity and asymptotic analyses for a fractional phase field system. Zbl 1443.35154 Colli, Pierluigi; Gilardi, Gianni 5 2019 Well-posedness and regularity for a fractional tumor growth model. Zbl 1477.35282 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 4 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 23 2018 On a Cahn-Hilliard system with convection and dynamic boundary conditions. Zbl 1406.35163 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 17 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 11 2018 Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1390.35168 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 5 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 5 2018 Distributed optimal control problems for phase field systems with singular potential. Zbl 1438.49006 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 2 2018 Limiting problems for a nonstandard viscous Cahn-Hilliard system with dynamic boundary conditions. Zbl 1406.74545 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 1 2018 Optimal distributed control of a diffuse interface model of tumor growth. Zbl 1378.35175 Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen 57 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 35 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 18 2017 Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 17 2017 Sliding mode control for a nonlinear phase-field system. Zbl 1374.35410 Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 11 2017 Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. Zbl 1365.35059 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 8 2017 Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1364.35130 Colli, Pierluigi; Gilardi, Gianni; Sprekels, J. 5 2017 Feedback stabilization of the Cahn-Hilliard type system for phase separation. Zbl 1351.93113 Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela 2 2017 A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1338.35227 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 46 2016 Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008 Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta 11 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 10 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 8 2016 Distributed optimal control of a nonstandard nonlocal phase field system. Zbl 1428.49025 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 5 2016 Constrained evolution for a quasilinear parabolic equation. Zbl 1357.35197 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 1 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 1 2016 On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407 Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle 56 2015 A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1327.35162 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 46 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 42 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 38 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 17 2015 On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential. Zbl 1295.35248 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 48 2014 A continuous dependence result for a nonstandard system of phase field equations. Zbl 1304.35074 Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 8 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 5 2014 A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172 Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 5 2014 Singular limit of an integrodifferential system related to the entropy balance. Zbl 1304.35083 Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni 4 2014 An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 12 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 12 2013 Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 23 2012 Analysis and optimal boundary control of a nonstandard system of phase field equations. Zbl 1331.49028 Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen 19 2012 Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 10 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. 5 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 24 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 40 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 5 2010 A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 4 2010 On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417 Gilardi, Gianni; Miranville, A.; Schimperna, Giulio 84 2009 On a conserved phase field model with irregular potentials and dynamic boundary conditions. Zbl 1203.35193 Gilardi, Gianni 13 2009 Existence and boundedness of solutions for a singular phase field system. Zbl 1170.35443 Bonetti, Elena; Colli, Pierluigi; Fabrizio, Mauro; Gilardi, Gianni 7 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 15 2007 Well-posedness and long-time behaviour for a singular phase field system of conserved type. Zbl 1141.80007 Gilardi, Gianni; Rocca, Elisabetta 13 2007 Existence for a doubly nonlinear Volterra equation. Zbl 1151.45003 Gilardi, Gianni; Stefanelli, Ulisse 3 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 13 2006 Time-discretization and global solution for a doubly nonlinear Volterra equation. Zbl 1104.45005 Gilardi, Gianni; Stefanelli, Ulisse 7 2006 Convergence of phase field to phase relaxation models governed by an entropy equation with memory. Zbl 1120.80007 Gilardi, Gianni; Rocca, Elisabetta 6 2006 On a conserved Penrose-Fife type system. Zbl 1099.35022 Gilardi, Gianni; Marson, Andrea 1 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 7 2004 On a Penrose-Fife type system with Dirichlet boundary conditions for temperature. Zbl 1029.82014 Gilardi, Gianni; Marson, Andrea 6 2003 Literature survey of contact dynamics modelling. Zbl 1062.70553 Gilardi, G.; Sharf, I. 64 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 22 2002 The conserved phase-field system with memory. Zbl 0982.80006 Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G. 16 2001 Optimal control problems of phase relaxation models. Zbl 1008.49003 Barbu, V.; Bernardi, M. L.; Colli, P.; Gilardi, G. 8 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. 5 2001 Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation. Zbl 0981.45006 Barbu, Viorel; Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 15 2000 Hysteresis in phase-field models with thermal memory. Zbl 0957.35064 Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen 2 2000 The conserved phase field system with memory. Zbl 0957.35123 Gilardi, Gianni 1 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 13 1999 Asymptotic analysis of a phase field model with memory for vanishing time relaxation. Zbl 0927.35022 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 3 1999 Asymptotic justification of the phase-field model with memory. Zbl 1110.35355 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 3 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 14 1998 Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Zbl 0910.35123 Fernandes, Paolo; Gilardi, Gianni 94 1997 Well-posedness of the weak formulation for the phase-field model with memory. Zbl 1023.45501 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 21 1997 Global smooth solution to the standard phase-field model with memory. Zbl 1023.45500 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 12 1997 Weak solution to hyperbolic Stefan problems. Zbl 0878.35121 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 1 1997 Convergence of phase field to phase relaxation models with memory. Zbl 0880.35052 Colli, Pierluigi; Gilardi, Gianni; Grasselli, Maurizio 2 1996 A regularity result for the solution of the dam problem. Zbl 0845.35136 Gilardi, Gianni; Luckhaus, Stephan 1 1996 The dam problem in unbounded domains. Zbl 0787.76086 Gilardi, Gianni; Kröner, Dietmar 2 1993 The support of the solution in the dam problem. Zbl 0793.76091 Gilardi, G. 2 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 1 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 12 1990 On a definition of seminorm in \(W^{s,p}(\Gamma)\). Zbl 0704.46023 Gastaldi, Fabio; Gilardi, Gianni 1 1989 The behavior of the free boundary for the dam problem. Zbl 0521.76092 Alt, Hans Wilhelm; Gilardi, Gianni 19 1982 An error estimate for an approximation of a parabolic variational inequality. Zbl 0523.65050 Gastaldi, Lucia; Gilardi, Gianni 1 1982 Monotonicity of free boundary in the two-dimensional dam problem. Zbl 0513.76090 Caffarelli, Luis A.; Gilardi, Gianni 12 1980 The evolution dam problem. Zbl 0481.76099 Gilardi, G. 1 1980 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 685 Authors 75 Colli, Pierluigi 64 Gilardi, Gianni 45 Sprekels, Jürgen 35 Rocca, Elisabetta 25 Miranville, Alain M. 22 Schimperna, Giulio 22 Signori, Andrea 20 Scarpa, Luca 15 Bonetti, Elena 15 Ciarlet, Patrick jun. 14 Fukao, Takeshi 14 Lam, Kei Fong 13 Garcke, Harald 12 Marinoschi, Gabriela 12 Wu, Hao 11 Grasselli, Maurizio 10 Duan, Huoyuan 8 Chaumont-Frelet, Théophile 8 Gal, Ciprian Gheorghe Sorin 7 Bowling, Alan P. 7 Fabrizio, Mauro 7 Liu, Changchun 7 Shirakawa, Ken 7 Zhao, Xiaopeng 6 Alekseev, Gennady V. 6 Ciarlet, Philippe Gaston 6 Flores, Paulo 6 Knopf, Patrik 6 Rossi, Riccarda 6 Tan, Roger C. E. 6 Zheng, Jiashan 5 Barbu, Viorel 5 Bonfanti, Giovanna 5 Carrillo Menéndez, José 5 Cherfils, Laurence 5 Ebenbeck, Matthias 5 Heinemann, Christian 5 Hintermüller, Michael 5 Kraus, Christiane 5 Lyaghfouri, Abdeslem 5 Stapenhorst, Matheus F. 5 Stefanelli, Ulisse 5 Zhu, Peicheng 4 Alt, Hans Wilhelm 4 Colturato, Michele 4 Davoli, Elisa 4 Frémond, Michel 4 Frigeri, Sergio 4 Gatti, Stefania 4 Keil, Tobias 4 Krejčí, Pavel 4 López-Rodríguez, Bibiana 4 da Silva Montenegro, Marcelo 4 Perugia, Ilaria 4 Schötzau, Dominik 4 Segatti, Antonio 4 Serrano, Hélia 4 Tomassetti, Giuseppe 4 Vohralík, Martin 3 Acevedo, Ramiro 3 Alber, Hans-Dieter 3 Alonso Rodríguez, Ana 3 Barhorst, Alan A. 3 Biswas, Tania 3 Bonfoh, Ahmed S. 3 Brizitskii, R. V. 3 Buffa, Annalisa 3 Chatterjee, Abhishek 3 Colombo, Fabrizio 3 Durán, Ricardo G. 3 Ern, Alexandre 3 Feireisl, Eduard 3 Friedman, Avner 3 Gómez, Christian 3 Jamelot, Erell 3 Kubo, Masahiro 3 Kubota, Shodai 3 Kurima, Shunsuke 3 Lin, Ping 3 Nakayashiki, Ryota 3 Pata, Vittorino 3 Peralta, Gilbert R. 3 Qi, Zhaohui 3 Scala, Riccardo 3 Schneebeli, Anna 3 Tröltzsch, Fredi 3 Trussardi, Lara 3 Valli, Alberto 3 Visintin, Augusto 3 Wang, Yifu 3 Yamazaki, Noriaki 3 Yoshikawa, Shuji 3 Yuan, Yunfei 3 Zaouche, Elmehdi 3 Zelik, Sergey V. 2 Acosta, Gabriel 2 Aizicovici, Sergiu 2 Alsayed, Hawraa 2 Ambrósio, Jorge A. C. 2 Amrouche, Chérif ...and 585 more Authors all top 5 Cited in 150 Serials 28 Applied Mathematics and Optimization 27 Multibody System Dynamics 26 Journal of Mathematical Analysis and Applications 24 Journal of Differential Equations 21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 20 Nonlinear Analysis. Theory, Methods & Applications. 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