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Author ID: mielke.alexander Recent zbMATH articles by "Mielke, Alexander"
Published as: Mielke, Alexander; Mielke, A.
Homepage: http://www.wias-berlin.de/people/mielke/
External Links: MGP · ORCID · Wikidata · arXiv · GND · IdRef
all top 5

Co-Authors

66 single-authored
16 Roubíček, Tomáš
14 Savaré, Giuseppe
11 Rossi, Riccarda
10 Peletier, Mark Adriaan
9 Afendikov, Andrei Leonidovich
8 Giannoulis, Johannes
8 Stefanelli, Ulisse
6 Liero, Matthias
5 Knees, Dorothee
5 Petrov, Adrien
5 Schneider, Guido
5 Thomas, Marita
4 Iooss, Gérard
4 Renger, D. R. Michiel
4 Zelik, Sergey V.
3 Hackl, Klaus
3 Herrmann, Michael
3 Holmes, Philip J.
3 Kuczma, Mieczysław S.
3 Mainik, Andreas
3 Mittnenzweig, Markus
3 Naumann, Joachim
3 Paoli, Laetitia A.
3 Reichelt, Sina
3 Schindler, Stefanie
3 Stephan, Artur
3 Zanini, Chiara
2 Bridges, Thomas J.
2 Dreyer, Wolfgang
2 Francfort, Gilles A.
2 Frenzel, Thomas
2 Gallay, Thierry
2 Govindjee, Sanjay
2 Hall, Garrett J.
2 Haskovec, Jan
2 Heinz, Sebastian
2 Hopf, Katharina
2 Kaiser, Hans-Christoph
2 Kirchgässner, Klaus
2 Laschos, Vaios
2 Markowich, Peter Alexander
2 Ortiz, Michael
2 Patz, Carsten
2 Rehberg, Joachim
2 Schmid, Florian
2 Slepčev, Dejan
2 Sparber, Christof
2 Sprenger, Pius
2 Theil, Florian
2 Timofte, Aida M.
2 Wolfrum, Matthias
2 Yanchuk, Sergiĭ Volodymyrovych
1 Abels, Helmut
1 Ambrosio, Luigi
1 Arnrich, Steffen
1 Auricchio, Ferdinando
1 Bacho, Aras
1 Bär, Markus
1 Bartels, Sören
1 Bazaes, Rodrigo
1 Becker, Maximilian
1 Bouchitté, Guy
1 Buffoni, Boris
1 Burylko, Oleksandr
1 Carstensen, Carsten
1 Dal Maso, Gianni
1 Dangelmayr, Gerhard
1 Demay, Yves
1 Disser, Karoline
1 Dondl, Patrick Werner
1 Efendiev, Messoud
1 Emmrich, Etienne
1 Fiedler, Bernold
1 Fischer, Julian
1 Glitzky, Annegret
1 Gürses, Ercan
1 Gussmann, Pascal
1 Heida, Martin
1 Helmig, Rainer
1 Hittmeir, Sabine
1 Huth, Robert
1 Kantner, Markus
1 Kirrmann, Pius
1 Kniely, Michael
1 Kočvara, Michal
1 Koprucki, Thomas
1 Kružík, Martin
1 Kutz, J. Nathan
1 Levitas, Valery I.
1 Lücken, Leonhard
1 Maas, Jan
1 Maltsi, Anieza
1 Martins, João A. C.
1 Miehe, Christian
1 Mittenhuber, Dirk
1 Montefusco, Alberto
1 Mukherjee, Chiranjib
1 Müller, Stefan
1 Netz, Roland R.
1 Niedermayer, Thomas
...and 21 more Co-Authors
all top 5

Serials

13 Archive for Rational Mechanics and Analysis
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Nonlinearity
7 SIAM Journal on Mathematical Analysis
7 Journal of Dynamics and Differential Equations
7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Journal of Nonlinear Science
6 Calculus of Variations and Partial Differential Equations
6 Oberwolfach Reports
6 Discrete and Continuous Dynamical Systems. Series S
5 Journal of Differential Equations
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Continuum Mechanics and Thermodynamics
4 Discrete and Continuous Dynamical Systems
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 PAMM. Proceedings in Applied Mathematics and Mechanics
3 Mathematical Methods in the Applied Sciences
3 Journal of Elasticity
2 Communications in Mathematical Physics
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Mathematical Physics
2 Journal of the Mechanics and Physics of Solids
2 Journal of Statistical Physics
2 Rocky Mountain Journal of Mathematics
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Mathematische Nachrichten
2 SIAM Journal on Numerical Analysis
2 Physica D
2 SIAM Journal on Applied Mathematics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Convex Analysis
2 Mathematics and Mechanics of Solids
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Evolution Equations
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Advances in Calculus of Variations
1 Applicable Analysis
1 Archives of Mechanics
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Russian Mathematical Surveys
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Zeitschrift für Analysis und ihre Anwendungen
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Asymptotic Analysis
1 European Journal of Mechanics. B. Fluids
1 European Journal of Applied Mathematics
1 Advances in Mathematical Sciences and Applications
1 Potential Analysis
1 Tatra Mountains Mathematical Publications
1 Doklady Mathematics
1 Chaos
1 Journal of Mathematical Fluid Mechanics
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Multiscale Modeling & Simulation
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 GAMM-Mitteilungen
1 Advanced Series in Nonlinear Dynamics
1 Applied Mathematical Sciences
1 Lecture Notes in Mathematics
1 Pitman Research Notes in Mathematics Series
1 Lecture Notes in Applied and Computational Mechanics
1 Networks and Heterogeneous Media
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Physics. Conference Series

Publications by Year

Citations contained in zbMATH Open

185 Publications have been cited 4,896 times in 2,140 Documents Cited by Year
Rate-independent systems. Theory and application. Zbl 1339.35006
Mielke, Alexander; Roubíček, Tomáš
177
2015
Evolution of rate-independent systems. Zbl 1120.47062
Mielke, Alexander
155
2005
Non-convex potentials and microstructures in finite-strain plasticity. Zbl 1008.74016
Carstensen, Carsten; Hackl, Klaus; Mielke, Alexander
139
2002
A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161
Mielke, Alexander
123
2011
On rate-independent hysteresis models. Zbl 1061.35182
Mielke, Alexander; Theil, Florian
123
2004
A variational formulation of rate-independent phase transformations using an extremum principle. Zbl 1012.74054
Mielke, Alexander; Theil, Florian; Levitas, Valery I.
115
2002
Existence results for energetic models for rate-independent systems. Zbl 1161.74387
Mainik, Andreas; Mielke, Alexander
96
2005
\(\Gamma\)-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
91
2008
Existence results for a class of rate-independent material models with nonconvex elastic energies. Zbl 1101.74015
Francfort, Gilles; Mielke, Alexander
91
2006
The validity of modulation equations for extended systems with cubic nonlinearities. Zbl 0786.35122
Kirrmann, Pius; Schneider, Guido; Mielke, Alexander
90
1992
Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016
Mielke, Alexander; Schneider, Guido
86
1995
Energetic formulation of multiplicative elasto-plasticity using dissipation distances. Zbl 1068.74522
Mielke, A.
82
2003
Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems. Zbl 0747.58001
Mielke, Alexander
82
1991
Reduction of quasilinear equations in cylindrical domains with applications. Zbl 0647.35034
Mielke, Alexander
81
1988
Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. Zbl 1412.49089
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
80
2018
Geodesic convexity of the relative entropy in reversible Markov chains. Zbl 1282.60072
Mielke, Alexander
79
2013
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Zbl 1304.35692
Mielke, A.; Peletier, M. A.; Renger, D. R. M.
78
2014
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
74
2012
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
70
2006
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
67
2008
On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040
Efendiev, Messoud A.; Mielke, Alexander
61
2006
A reduction principle for nonautonomous systems in infinite-dimensional spaces. Zbl 0601.35018
Mielke, Alexander
61
1986
Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
54
2009
Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center. Zbl 0749.58022
Mielke, A.; Holmes, P.; O’Reilly, O.
54
1992
The Ginzburg-Landau equation in its role as a modulation equation. Zbl 1041.37037
Mielke, Alexander
53
2002
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. Zbl 1347.49078
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
53
2016
Damage of nonlinearly elastic materials at small strain – existence and regularity results. Zbl 1191.35159
Thomas, M.; Mielke, A.
51
2010
Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013
Mainik, Andreas; Mielke, Alexander
50
2009
Nonsmooth analysis of doubly nonlinear evolution equations. Zbl 1270.35289
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
50
2013
Differential, energetic, and metric formulations for rate-independent processes. Zbl 1251.35003
Mielke, Alexander
47
2011
A proof of the Benjamin-Feir instability. Zbl 0845.76029
Bridges, Thomas J.; Mielke, Alexander
47
1995
The complex Ginzburg-Landau equation on large and unbounded domains: Sharper bounds and attractors. Zbl 0905.35043
Mielke, Alexander
45
1997
Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. Zbl 1357.35007
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
45
2016
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
43
2008
Formulation of thermoelastic dissipative material behavior using GENERIC. Zbl 1272.74137
Mielke, Alexander
43
2011
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
42
2006
Finite elastoplasticity Lie groups and geodesics on \(\text{SL}(d)\). Zbl 1146.74309
Mielke, Alexander
42
2002
Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149
Liero, Matthias; Mielke, Alexander
41
2013
A metric approach to a class of doubly nonlinear evolution equations and applications. Zbl 1183.35164
Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe
39
2008
Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi. Zbl 1106.74048
Kružík, Martin; Mielke, Alexander; Roubíček, Tomáš
39
2005
Instability and stability of rolls in the Swift-Hohenberg equation. Zbl 0897.76037
Mielke, Alexander
39
1997
A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207
Mielke, Alexander; Roubíček, Tomáš
39
2003
Two-scale homogenization for evolutionary variational inequalities via the energetic formulation. Zbl 1185.35282
Mielke, Alexander; Timofte, Aida M.
36
2007
A spatial dynamics approach to three-dimensional gravity-capillary steady water waves. Zbl 0976.76012
Groves, M. D.; Mielke, A.
36
2001
A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces. Zbl 1270.35256
Glitzky, Annegret; Mielke, Alexander
34
2013
Thermomechanical modeling of energy-reaction-diffusion systems, including bulk-interface interactions. Zbl 1262.35127
Mielke, Alexander
33
2013
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
32
2006
Weighted energy-dissipation functionals for gradient flows. Zbl 1218.35007
Mielke, Alexander; Stefanelli, Ulisse
32
2011
Multi-pulse evolution and space-time chaos in dissipative systems. Zbl 1163.37003
Zelik, Sergey; Mielke, Alexander
32
2009
Existence of minimizers in incremental elasto-plasticity with finite strains. Zbl 1076.74012
Mielke, Alexander
32
2004
Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055
Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
32
2012
Existence and uniqueness results for a class of rate-independent hysteresis problems. Zbl 1121.34052
Mielke, Alexander; Rossi, Riccarda
30
2007
A complete-damage problem at small strains. Zbl 1238.74005
Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš
30
2009
A rate-independent model for the isothermal quasi-static evolution of shape-memory materials. Zbl 1151.74319
Auricchio, Ferdinando; Mielke, Alexander; Stefanelli, Ulisse
30
2008
Rate-independent elastoplasticity at finite strains and its numerical approximation. Zbl 1349.35371
Mielke, Alexander; Roubíček, Tomáš
29
2016
Crack growth in polyconvex materials. Zbl 1201.49013
Knees, Dorothee; Zanini, Chiara; Mielke, Alexander
29
2010
Complete damage in elastic and viscoelastic media and its energetics. Zbl 1227.74058
Mielke, Alexander; Roubíček, Tomáš; Zeman, Jan
28
2010
On microscopic origins of generalized gradient structures. Zbl 1515.35127
Liero, Matthias; Mielke, Alexander; Peletier, Mark; Renger, D. R. Michiel
28
2017
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
28
2015
Saint-Venant’s problem and semi-inverse solutions in nonlinear elasticity. Zbl 0651.73006
Mielke, Alexander
27
1988
The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities. Zbl 1092.37050
Giannoulis, Johannes; Mielke, Alexander
27
2004
Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity. Zbl 1334.74021
Mielke, Alexander; Stefanelli, Ulisse
27
2013
Spatially complex equilibria of buckled rods. Zbl 0655.73029
Mielke, Alexander; Holmes, Philip
26
1988
Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transforms. Zbl 1152.82024
Mielke, Alexander
26
2006
Theory of steady Ginzburg-Landau equation, in hydrodynamic stability problems. Zbl 0675.76060
Iooss, G.; Mielke, A.; Demay, Y.
25
1989
Energy release rate for cracks in finite-strain elasticity. Zbl 1132.74038
Knees, Dorothee; Mielke, Alexander
25
2008
The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis. Zbl 1116.74399
Govindjee, Sanjay; Mielke, Alexander; Hall, Garrett J.
25
2002
Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105
Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş
24
2012
Quasiconvexity at the boundary and a simple variational formulation of Agmon’s condition. Zbl 0922.73077
Mielke, Alexander; Sprenger, Pius
24
1998
Normal hyperbolicity of center manifolds and Saint-Venant’s principle. Zbl 0706.73016
Mielke, Alexander
24
1990
Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders. Zbl 0797.76010
Iooss, G.; Mielke, A.
24
1991
Essential manifolds for an elliptic problem in an infinite strip. Zbl 0814.35028
Mielke, Alexander
24
1994
A new identity for the surface-impedance matrix and its application to the determination of surface wave speeds. Zbl 1018.74020
Fu, Y. B.; Mielke, A.
23
2002
An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models. Zbl 1376.82046
Mittnenzweig, Markus; Mielke, Alexander
23
2017
On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation terms. Zbl 1295.35036
Mielke, Alexander; Zelik, Sergey
23
2014
Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. Zbl 1370.80001
Mielke, Alexander; Patterson, Robert I. A.; Peletier, Mark A.; Renger, D. R. Michiel
21
2017
Micro-macro transition in the atomic chain via Whitham’s modulation equation. Zbl 1134.37362
Dreyer, W.; Herrmann, M.; Mielke, A.
20
2006
Deriving new evolution equations for microstructures via relaxation of variational incremental problems. Zbl 1112.74332
Mielke, Alexander
19
2004
Über maximale \(L^ p\)-Regularität für Differentialgleichungen in Banach- und Hilbert-Räumen. (On maximal \(L^ p\)-regularity for differential equations in Banach and Hilbert spaces). Zbl 0597.47029
Mielke, Alexander
19
1987
From discrete visco-elasticity to continuum rate-independent plasticity: rigorous results. Zbl 1286.74024
Mielke, Alexander; Truskinovsky, Lev
19
2012
Uniqueness of the surface-wave speed: A proof that it is independent of the Stroh formalism. Zbl 1043.74025
Mielke, Alexander
18
2004
A discrete variational principle for rate-independent evolution. Zbl 1180.35283
Mielke, Alexander; Stefanelli, Ulisse
18
2008
On the energetic stability of solitary water waves. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1068.76009
Mielke, Alexander
18
2002
Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052
Mielke, Alexander; Reichelt, Sina; Thomas, Marita
18
2014
Necessary and sufficient conditions for polyconvexity of isotropic functions. Zbl 1098.49013
Mielke, Alexander
17
2005
An energetic material model for time-dependent ferroelectric behaviour: existence and uniqueness. Zbl 1096.74017
Mielke, Alexander; Timofte, Aida M.
17
2006
Error estimates for space-time discretizations of a rate-independent variational inequality. Zbl 1219.65059
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse
17
2010
A gradient system with a wiggly energy and relaxed EDP-convergence. Zbl 1444.35101
Dondl, Patrick; Frenzel, Thomas; Mielke, Alexander
17
2019
Variational convergence of gradient flows and rate-independent evolutions in metric spaces. Zbl 1255.49078
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
17
2012
Complete-damage evolution based on energies and stresses. Zbl 1209.74010
Mielke, Alexander
16
2011
Bounds for the solutions of the complex Ginzburg-Landau equation in terms of the dispersion parameters. Zbl 0939.35033
Mielke, Alexander
16
1998
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
16
2018
The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis. Zbl 1088.74040
Govindjee, Sanjay; Mielke, Alexander; Hall, Garrett J.
16
2003
A mathematical framework for generalized standard materials in the rate-independent case. Zbl 1298.74006
Mielke, Alexander
15
2006
Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential. Zbl 1185.35256
Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof
15
2008
From damage to delamination in nonlinearly elastic materials at small strains. Zbl 1253.74088
Mielke, Alexander; Roubíček, Tomáš; Thomas, Marita
15
2012
Global existence results for viscoplasticity at finite strain. Zbl 1387.35574
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
14
2018
Dispersive evolution of pulses in oscillator chains with general interaction potentials. Zbl 1152.34035
Giannoulis, Johannes; Mielke, Alexander
14
2006
Dynamics of nonlinear waves in dissipative systems: reduction, bifurcation and stability. Zbl 0866.35002
Dangelmayr, Gerhard; Fiedler, Bernold; Kirchgässner, Klaus; Mielke, Alexander
14
1996
Thermoviscoelasticity in Kelvin-Voigt rheology at large strains. Zbl 1444.74012
Mielke, Alexander; Roubíček, Tomáš
14
2020
Traveling fronts in a reaction-diffusion equation with a memory term. Zbl 07818501
Mielke, Alexander; Reichelt, Sina
1
2024
On two coupled degenerate parabolic equations motivated by thermodynamics. Zbl 1512.35393
Mielke, Alexander
2
2023
Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation. Zbl 1481.35310
Eiter, Thomas; Hopf, Katharina; Mielke, Alexander
4
2022
Global existence analysis of energy-reaction-diffusion systems. Zbl 1483.35262
Fischer, Julian; Hopf, Katharina; Kniely, Michael; Mielke, Alexander
2
2022
Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence. Zbl 1521.37090
Mielke, Alexander; Montefusco, Alberto; Peletier, Mark A.
9
2021
EDP-convergence for nonlinear fast-slow reaction systems with detailed balance. Zbl 1475.35183
Mielke, Alexander; Peletier, Mark A.; Stephan, Artur
6
2021
A rigorous derivation and energetics of a wave equation with fractional damping. Zbl 1483.35165
Mielke, Alexander; Netz, Roland R.; Zendehroud, Sina
1
2021
Thermoviscoelasticity in Kelvin-Voigt rheology at large strains. Zbl 1444.74012
Mielke, Alexander; Roubíček, Tomáš
14
2020
Coarse-graining via EDP-convergence for linear fast-slow reaction systems. Zbl 1454.60113
Mielke, Alexander; Stephan, Artur
13
2020
Modeling of chemical reaction systems with detailed balance using gradient structures. Zbl 1462.80011
Maas, Jan; Mielke, Alexander
13
2020
A gradient system with a wiggly energy and relaxed EDP-convergence. Zbl 1444.35101
Dondl, Patrick; Frenzel, Thomas; Mielke, Alexander
17
2019
Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures. Zbl 1422.60009
Laschos, Vaios; Mielke, Alexander
13
2019
An existence result and evolutionary \(\varGamma \)-convergence for perturbed gradient systems. Zbl 1420.35029
Bacho, Aras; Emmrich, Etienne; Mielke, Alexander
3
2019
Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. Zbl 1412.49089
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
80
2018
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
16
2018
Global existence results for viscoplasticity at finite strain. Zbl 1387.35574
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
14
2018
Coexistence of Hamiltonian-like and dissipative dynamics in rings of coupled phase oscillators with skew-symmetric coupling. Zbl 1401.34040
Burylko, Oleksandr; Mielke, Alexander; Wolfrum, Matthias; Yanchuk, Serhiy
8
2018
Convergence to equilibrium in energy-reaction-diffusion systems using vector-valued functional inequalities. Zbl 1390.35156
Mielke, Alexander; Mittnenzweig, Markus
7
2018
Three examples concerning the interaction of dry friction and oscillations. Zbl 1407.49013
Mielke, Alexander
1
2018
On microscopic origins of generalized gradient structures. Zbl 1515.35127
Liero, Matthias; Mielke, Alexander; Peletier, Mark; Renger, D. R. Michiel
28
2017
An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models. Zbl 1376.82046
Mittnenzweig, Markus; Mielke, Alexander
23
2017
Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. Zbl 1370.80001
Mielke, Alexander; Patterson, Robert I. A.; Peletier, Mark A.; Renger, D. R. Michiel
21
2017
Averaging of time-periodic dissipation potentials in rate-independent processes. Zbl 1426.34075
Heida, Martin; Mielke, Alexander
2
2017
Uniform asymptotic expansions for the fundamental solution of infinite harmonic chains. Zbl 1386.37074
Mielke, Alexander; Patz, Carsten
1
2017
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. Zbl 1347.49078
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
53
2016
Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. Zbl 1357.35007
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
45
2016
Rate-independent elastoplasticity at finite strains and its numerical approximation. Zbl 1349.35371
Mielke, Alexander; Roubíček, Tomáš
29
2016
Balanced-viscosity solutions for multi-rate systems. Zbl 1465.70060
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
8
2016
Existence, numerical convergence and evolutionary relaxation for a rate-independent phase-transformation model. Zbl 1353.82054
Heinz, Sebastian; Mielke, Alexander
2
2016
Rate-independent systems. Theory and application. Zbl 1339.35006
Mielke, Alexander; Roubíček, Tomáš
177
2015
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
28
2015
Deriving amplitude equations via evolutionary \(\Gamma\)-convergence. Zbl 1332.35347
Mielke, Alexander
7
2015
Global-in-time existence of weak solutions to Kolmogorov’s two-equation model of turbulence. (Sur l’existence globale en temps des solutions faibles pour le modèle de turbulence à deux équations de Kolmogorov.) Zbl 1320.35262
Mielke, Alexander; Naumann, Joachim
7
2015
Global existence for a nonlocal and nonlinear Fokker-Planck equation. Zbl 1325.35227
Dreyer, Wolfgang; Huth, Robert; Mielke, Alexander; Rehberg, Joachim; Winkler, Michael
6
2015
Spectrum and amplitude equations for scalar delay-differential equations with large delay. Zbl 1312.34100
Yanchuk, Serhiy; Lücken, Leonhard; Wolfrum, Matthias; Mielke, Alexander
6
2015
On thermodynamical couplings of quantum mechanics and macroscopic systems. Zbl 1339.81060
Mielke, A.
5
2015
Variational approaches and methods for dissipative material models with multiple scales. Zbl 1365.74087
Mielke, Alexander
3
2015
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Zbl 1304.35692
Mielke, A.; Peletier, M. A.; Renger, D. R. M.
78
2014
On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation terms. Zbl 1295.35036
Mielke, Alexander; Zelik, Sergey
23
2014
Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052
Mielke, Alexander; Reichelt, Sina; Thomas, Marita
18
2014
An approach to nonlinear viscoelasticity via metric gradient flows. Zbl 1317.74024
Mielke, Alexander; Ortner, Christoph; Şengül, Yasemin
13
2014
Geodesic convexity of the relative entropy in reversible Markov chains. Zbl 1282.60072
Mielke, Alexander
79
2013
Nonsmooth analysis of doubly nonlinear evolution equations. Zbl 1270.35289
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
50
2013
Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149
Liero, Matthias; Mielke, Alexander
41
2013
A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces. Zbl 1270.35256
Glitzky, Annegret; Mielke, Alexander
34
2013
Thermomechanical modeling of energy-reaction-diffusion systems, including bulk-interface interactions. Zbl 1262.35127
Mielke, Alexander
33
2013
Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity. Zbl 1334.74021
Mielke, Alexander; Stefanelli, Ulisse
27
2013
Dissipative quantum mechanics using GENERIC. Zbl 1315.81061
Mielke, Alexander
9
2013
Homogenization of elastic waves in fluid-saturated porous media using the Biot model. Zbl 1311.35017
Mielke, Alexander; Rohan, Eduard
8
2013
BV solutions and viscosity approximations of rate-independent systems. Zbl 1250.49041
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
74
2012
Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. Zbl 1270.35055
Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
32
2012
Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105
Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş
24
2012
From discrete visco-elasticity to continuum rate-independent plasticity: rigorous results. Zbl 1286.74024
Mielke, Alexander; Truskinovsky, Lev
19
2012
Variational convergence of gradient flows and rate-independent evolutions in metric spaces. Zbl 1255.49078
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
17
2012
From damage to delamination in nonlinearly elastic materials at small strains. Zbl 1253.74088
Mielke, Alexander; Roubíček, Tomáš; Thomas, Marita
15
2012
A model for the evolution of laminates in finite-strain elastoplasticity. Zbl 1348.74060
Hackl, K.; Heinz, S.; Mielke, A.
13
2012
Emergence of rate-independent dissipation from viscous systems with wiggly energies. Zbl 1258.74169
Mielke, Alexander
9
2012
A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161
Mielke, Alexander
123
2011
Differential, energetic, and metric formulations for rate-independent processes. Zbl 1251.35003
Mielke, Alexander
47
2011
Formulation of thermoelastic dissipative material behavior using GENERIC. Zbl 1272.74137
Mielke, Alexander
43
2011
Weighted energy-dissipation functionals for gradient flows. Zbl 1218.35007
Mielke, Alexander; Stefanelli, Ulisse
32
2011
Complete-damage evolution based on energies and stresses. Zbl 1209.74010
Mielke, Alexander
16
2011
An evolutionary elastoplastic plate model derived via \(\Gamma\)-convergence. Zbl 1232.35165
Liero, Matthias; Mielke, Alexander
13
2011
On thermodynamically consistent models and gradient structures for thermoplasticity. Zbl 1279.74008
Mielke, Alexander
4
2011
Damage of nonlinearly elastic materials at small strain – existence and regularity results. Zbl 1191.35159
Thomas, M.; Mielke, A.
51
2010
Crack growth in polyconvex materials. Zbl 1201.49013
Knees, Dorothee; Zanini, Chiara; Mielke, Alexander
29
2010
Complete damage in elastic and viscoelastic media and its energetics. Zbl 1227.74058
Mielke, Alexander; Roubíček, Tomáš; Zeman, Jan
28
2010
Error estimates for space-time discretizations of a rate-independent variational inequality. Zbl 1219.65059
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse
17
2010
Dispersive stability of infinite-dimensional Hamiltonian systems on lattices. Zbl 1200.37071
Mielke, Alexander; Patz, Carsten
9
2010
High-frequency averaging in semi-classical Hartree-type equations. Zbl 1229.35261
Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof
3
2010
Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
54
2009
Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013
Mainik, Andreas; Mielke, Alexander
50
2009
Multi-pulse evolution and space-time chaos in dissipative systems. Zbl 1163.37003
Zelik, Sergey; Mielke, Alexander
32
2009
A complete-damage problem at small strains. Zbl 1238.74005
Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš
30
2009
On existence and approximation for a 3D model of thermally induced phase transformations in shape-memory alloys. Zbl 1201.49011
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien
14
2009
Numerical approaches to rate-independent processes and applications in inelasticity. Zbl 1166.74010
Mielke, Alexander; Roubíček, Tomáš
12
2009
Reverse approximation of energetic solutions to rate-independent processes. Zbl 1163.49030
Mielke, Alexander; Rindler, Filip
8
2009
\(\Gamma\)-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
91
2008
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
67
2008
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. Zbl 1357.49043
Mielke, Alexander; Ortiz, Michael
43
2008
A metric approach to a class of doubly nonlinear evolution equations and applications. Zbl 1183.35164
Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe
39
2008
A rate-independent model for the isothermal quasi-static evolution of shape-memory materials. Zbl 1151.74319
Auricchio, Ferdinando; Mielke, Alexander; Stefanelli, Ulisse
30
2008
Energy release rate for cracks in finite-strain elasticity. Zbl 1132.74038
Knees, Dorothee; Mielke, Alexander
25
2008
A discrete variational principle for rate-independent evolution. Zbl 1180.35283
Mielke, Alexander; Stefanelli, Ulisse
18
2008
Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential. Zbl 1185.35256
Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof
15
2008
Weak-convergence methods for Hamiltonian multiscale problems. Zbl 1144.35009
Mielke, Alexander
7
2008
Lagrangian and Hamiltonian two-scale reduction. Zbl 1152.81449
Giannoulis, Johannes; Herrmann, Michael; Mielke, Alexander
6
2008
Convergence of solutions of kinetic variational inequalities in the rate-independent quasi-static limit. Zbl 1147.49004
Mielke, Alexander; Petrov, Adrien; Martins, João A. C.
3
2008
Existence and approximation for a 3D model of thermally-induced phase transformations in shape-memory alloys. Zbl 1393.74034
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien
1
2008
Two-scale homogenization for evolutionary variational inequalities via the energetic formulation. Zbl 1185.35282
Mielke, Alexander; Timofte, Aida M.
36
2007
Existence and uniqueness results for a class of rate-independent hysteresis problems. Zbl 1121.34052
Mielke, Alexander; Rossi, Riccarda
30
2007
Thermally driven phase transformation in shape-memory alloys. Zbl 1138.49014
Mielke, Alexander; Petrov, Adrien
13
2007
Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction diffusion systems in \(\mathbb{R}^n\). Zbl 1125.35012
Mielke, Alexander; Zelik, Sergey V.
4
2007
A model for temperature-induced phase transformations in finite-strain elasticity. Zbl 1128.74035
Mielke, Alexander
3
2007
Existence results for a class of rate-independent material models with nonconvex elastic energies. Zbl 1101.74015
Francfort, Gilles; Mielke, Alexander
91
2006
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
70
2006
On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040
Efendiev, Messoud A.; Mielke, Alexander
61
2006
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
42
2006
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
32
2006
Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transforms. Zbl 1152.82024
Mielke, Alexander
26
2006
...and 85 more Documents
all top 5

Cited by 2,128 Authors

106 Mielke, Alexander
56 Stefanelli, Ulisse
53 Schneider, Guido
49 Roubíček, Tomáš
37 Kružík, Martin
36 Rossi, Riccarda
26 Neff, Patrizio
26 Scheel, Arnd
25 Peletier, Mark Adriaan
23 Hackl, Klaus
23 Mosler, Jörn
23 Valls Anglés, Cláudia
20 Savaré, Giuseppe
20 Thomas, Marita
19 Barreira, Luis Manuel
18 Knees, Dorothee
18 Liero, Matthias
17 Conti, Sergio
17 Li, Wuchen
17 Mora, Maria Giovanna
16 Lazzaroni, Giuliano
16 Zelik, Sergey V.
15 Dal Maso, Gianni
15 Francfort, Gilles A.
15 Maas, Jan
14 Akagi, Goro
14 Marigo, Jean-Jacques
14 Miehe, Christian
14 Ortiz, Michael
14 Renger, D. R. Michiel
14 Sandstede, Björn
14 Uecker, Hannes
13 Davoli, Elisa
13 Zanini, Chiara
12 Almi, Stefano
12 Bonetti, Elena
12 Deng, Shengfu
12 Heida, Martin
11 Blömker, Dirk
11 Crismale, Vito
11 Dondl, Patrick Werner
11 Düll, Wolf-Patrick
11 Erbar, Matthias
11 Fellner, Klemens
11 Herrmann, Michael
11 James, Guillaume
11 Krejčí, Pavel
11 Negri, Matteo
11 Solombrino, Francesco
11 Tang, Bao Quoc
11 Toader, Rodica
10 Carstensen, Carsten
10 Dolzmann, Georg
10 Guo, Boling
10 Heinemann, Christian
10 Il’ichev, Andreĭ Teĭmurazovich
10 Iooss, Gérard
10 Junker, Philipp
10 Zimmer, Johannes
9 Benešová, Barbora
9 Bridges, Thomas J.
9 Friedrich, Manuel
9 Ghiba, Ionel-Dumitrel
9 Hur, Vera Mikyoung
9 Kochmann, Dennis M.
9 Kühn, Christian
9 Lloyd, David J. B.
9 Martin, Robert J.
9 Schlichting, André
9 Schmitzer, Bernhard
9 Valdman, Jan
9 Wahlén, Erik
9 Yanchuk, Sergiĭ Volodymyrovych
8 Bartels, Sören
8 Cancès, Clément
8 DeSimone, Antonio
8 Dohnal, Tomáš
8 Duong, Manh Hong
8 Gallay, Thierry
8 Gao, Hongjun
8 Giacomini, Alessandro
8 Jüngel, Ansgar
8 Kovtunenko, Viktor Anatolievich
8 Kraus, Christiane
8 Lerman, Lev
8 Mantič, Vladislav
8 Mariano, Paolo Maria
8 Monsaingeon, Léonard
8 Neukamm, Stefan
8 Pavelka, Michal
8 Pelinovsky, Dmitry Efimovich
8 Petryk, Henryk
8 Riva, Filippo
8 Scala, Riccardo
8 Zumbrun, Kevin R.
7 Alessi, Roberto
7 Babadjian, Jean-François
7 Burger, Martin
7 Champneys, Alan R.
7 Chow, Shui-Nee
...and 2,028 more Authors
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Cited in 300 Serials

107 Archive for Rational Mechanics and Analysis
103 Journal of Differential Equations
74 Physica D
60 Computer Methods in Applied Mechanics and Engineering
56 Continuum Mechanics and Thermodynamics
54 SIAM Journal on Mathematical Analysis
49 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
49 Journal of Nonlinear Science
47 Calculus of Variations and Partial Differential Equations
42 Journal of the Mechanics and Physics of Solids
41 Journal of Dynamics and Differential Equations
41 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
39 ZAMP. Zeitschrift für angewandte Mathematik und Physik
38 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
38 Discrete and Continuous Dynamical Systems. Series S
35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Journal of Mathematical Analysis and Applications
32 Journal of Elasticity
30 Communications in Mathematical Physics
28 Mathematical Methods in the Applied Sciences
26 Nonlinearity
26 Discrete and Continuous Dynamical Systems
25 Journal of Functional Analysis
24 Journal of Statistical Physics
22 Mathematics and Mechanics of Solids
19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
18 International Journal for Numerical Methods in Engineering
18 NoDEA. Nonlinear Differential Equations and Applications
18 Journal of Evolution Equations
18 GAMM-Mitteilungen
17 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Nonlinear Analysis. Real World Applications
16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
16 Chaos
16 SIAM Journal on Applied Dynamical Systems
15 Computational Mechanics
14 Applicable Analysis
14 Journal of Mathematical Physics
14 European Journal of Applied Mathematics
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 SIAM Journal on Applied Mathematics
12 European Journal of Mechanics. A. Solids
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 International Journal of Engineering Science
11 Journal of Computational Physics
10 Applied Mathematics and Optimization
10 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
9 Wave Motion
9 Journal of Computational and Applied Mathematics
9 Meccanica
9 Transactions of the American Mathematical Society
9 Communications in Partial Differential Equations
9 Communications in Nonlinear Science and Numerical Simulation
9 Discrete and Continuous Dynamical Systems. Series B
8 Acta Mechanica
8 International Journal of Plasticity
8 Journal of Fluid Mechanics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Mathematische Nachrichten
8 European Journal of Mechanics. B. Fluids
8 Communications on Pure and Applied Analysis
8 Advances in Calculus of Variations
8 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
7 Communications on Pure and Applied Mathematics
7 Chinese Annals of Mathematics. Series B
7 Asymptotic Analysis
7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
7 Journal of Mathematical Sciences (New York)
6 Quarterly of Applied Mathematics
6 Studies in Applied Mathematics
6 Applied Mathematical Modelling
6 Journal of Convex Analysis
6 Nonlinear Dynamics
6 Multiscale Modeling & Simulation
6 Kinetic and Related Models
6 Mathematics in Engineering
5 Inventiones Mathematicae
5 Journal of Optimization Theory and Applications
5 Numerische Mathematik
5 Acta Applicandae Mathematicae
5 Applied Mathematics Letters
5 The Annals of Applied Probability
5 Stochastic Processes and their Applications
5 Oberwolfach Reports
4 Computers & Mathematics with Applications
4 International Journal of Solids and Structures
4 Journal of Engineering Mathematics
4 Physica A
4 Mathematics of Computation
4 Advances in Mathematics
4 The Annals of Probability
4 Applied Mathematics and Computation
4 Mathematics and Computers in Simulation
4 Memoirs of the American Mathematical Society
4 Proceedings of the American Mathematical Society
4 Zeitschrift für Analysis und ihre Anwendungen
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Potential Analysis
4 SIAM Journal on Scientific Computing
4 Physics of Fluids
...and 200 more Serials
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Cited in 49 Fields

1,132 Partial differential equations (35-XX)
811 Mechanics of deformable solids (74-XX)
383 Calculus of variations and optimal control; optimization (49-XX)
301 Dynamical systems and ergodic theory (37-XX)
262 Fluid mechanics (76-XX)
179 Ordinary differential equations (34-XX)
162 Numerical analysis (65-XX)
162 Statistical mechanics, structure of matter (82-XX)
157 Probability theory and stochastic processes (60-XX)
117 Operator theory (47-XX)
80 Mechanics of particles and systems (70-XX)
70 Classical thermodynamics, heat transfer (80-XX)
58 Biology and other natural sciences (92-XX)
54 Global analysis, analysis on manifolds (58-XX)
49 Optics, electromagnetic theory (78-XX)
47 Differential geometry (53-XX)
40 Functional analysis (46-XX)
37 Operations research, mathematical programming (90-XX)
33 Quantum theory (81-XX)
31 Measure and integration (28-XX)
22 Difference and functional equations (39-XX)
19 Real functions (26-XX)
16 Systems theory; control (93-XX)
16 Information and communication theory, circuits (94-XX)
13 Integral equations (45-XX)
13 Geophysics (86-XX)
12 Statistics (62-XX)
11 Combinatorics (05-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
11 Computer science (68-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 General and overarching topics; collections (00-XX)
10 General topology (54-XX)
8 Functions of a complex variable (30-XX)
6 Convex and discrete geometry (52-XX)
4 Potential theory (31-XX)
4 Approximations and expansions (41-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
2 Integral transforms, operational calculus (44-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)

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