Edit Profile (opens in new tab) Heida, Martin Co-Author Distance Author ID: heida.martin Published as: Heida, Martin Documents Indexed: 36 Publications since 2010, including 1 Book and 5 Additional arXiv Preprints Co-Authors: 23 Co-Authors with 22 Joint Publications 646 Co-Co-Authors all top 5 Co-Authors 14 single-authored 4 Málek, Josef 3 Neukamm, Stefan 3 Schweizer, Ben 3 Varga, Mario 2 Flegel, Franziska 2 Jahnel, Benedikt 2 Rajagopal, Kumbakonam Ramamani 2 Vu, Anh Duc 1 Dörlemann, Christina 1 Franchi, Bruno 1 Kantner, Markus 1 Kornhuber, Ralf 1 Lorenzani, Silvia 1 Mielke, Alexander 1 Nesenenko, Sergiy 1 Patterson, Robert I. A. 1 Podlesny, Joscha 1 Renger, D. R. Michiel 1 Röger, Matthias 1 Slowik, Martin 1 Souček, Ondřej 1 Stephan, Artur 1 Thomas, Marita all top 5 Serials 4 International Journal of Engineering Science 3 Networks and Heterogeneous Media 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Asymptotic Analysis 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Theoretical Probability 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Continuum Mechanics and Thermodynamics 1 Calculus of Variations and Partial Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Evolution Equations 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Fields 26 Partial differential equations (35-XX) 17 Mechanics of deformable solids (74-XX) 11 Probability theory and stochastic processes (60-XX) 10 Classical thermodynamics, heat transfer (80-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Fluid mechanics (76-XX) 5 Operator theory (47-XX) 3 Numerical analysis (65-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 241 times in 179 Documents Cited by ▼ Year ▼ On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002 Heida, Martin; Málek, Josef; Rajagopal, K. R. 47 2012 On compressible Korteweg fluid-like materials. Zbl 1231.76248 Heida, Martin; Málek, Josef 28 2010 On the derivation of thermodynamically consistent boundary conditions for the Cahn-Hilliard-Navier-Stokes system. Zbl 1423.76094 Heida, Martin 21 2013 An extension of the stochastic two-scale convergence method and application. Zbl 1230.60010 Heida, Martin 17 2011 On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework. Zbl 1295.35360 Heida, Martin; Málek, Josef; Rajagopal, K. R. 16 2012 Convergences of the squareroot approximation scheme to the Fokker-Planck operator. Zbl 1411.65121 Heida, Martin 14 2018 Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps. Zbl 1442.60071 Flegel, Franziska; Heida, Martin; Slowik, Martin 12 2019 Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space. Zbl 1508.46016 Heida, Martin; Patterson, Robert I. A.; Renger, D. R. Michiel 9 2019 Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation. Zbl 1340.35108 Heida, Martin 8 2015 Stochastic homogenization of heat transfer in polycrystals with nonlinear contact conductivities. Zbl 1252.35035 Heida, Martin 7 2012 Non-periodic homogenization of infinitesimal strain plasticity equations. Zbl 1335.74015 Heida, Martin; Schweizer, Ben 7 2016 Consistency and convergence for a family of finite volume discretizations of the Fokker-Planck operator. Zbl 1485.35356 Heida, Martin; Kantner, Markus; Stephan, Artur 6 2021 On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids. Zbl 07228661 Souček, Ondřej; Heida, Martin; Málek, Josef 6 2020 Transmission conditions for the Helmholtz-equation in perforated domains. Zbl 1375.35027 Dörlemann, Christina; Heida, Martin; Schweizer, Ben 5 2017 Stochastic homogenization of rate-independent systems and applications. Zbl 1375.74077 Heida, Martin 5 2017 Large deviation principle for a stochastic Allen-Cahn equation. Zbl 1390.60107 Heida, Martin; Röger, Matthias 4 2018 On systems of Cahn-Hilliard and Allen-Cahn equations considered as gradient flows in Hilbert spaces. Zbl 1332.35192 Heida, Martin 4 2015 A mathematical model for Alzheimer’s disease: an approach via stochastic homogenization of the Smoluchowski equation. Zbl 1464.35361 Franchi, Bruno; Heida, Martin; Lorenzani, Silvia 4 2020 Stochastic homogenization of \(\Lambda\)-convex gradient flows. Zbl 1458.49013 Heida, Martin; Neukamm, Stefan; Varga, Mario 4 2021 Stochastic homogenization of plasticity equations. Zbl 1393.74014 Heida, Martin; Schweizer, Ben 3 2018 Stochastic homogenization of rate-dependent models of monotone type in plasticity. Zbl 1418.35342 Heida, Martin; Nesenenko, Sergiy 3 2019 Modeling multiphase flow in porous media with application to permafrost soil. Zbl 1270.76003 Heida, Martin 3 2011 The fractional \(p\)-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps. Zbl 1448.35025 Flegel, Franziska; Heida, Martin 3 2020 Averaging of time-periodic dissipation potentials in rate-independent processes. Zbl 1426.34075 Heida, Martin; Mielke, Alexander 2 2017 On thermodynamics of fluid interfaces. Zbl 1423.80007 Heida, Martin 1 2014 Stochastic two-scale convergence and Young measures. Zbl 1493.74101 Heida, Martin; Neukamm, Stefan; Varga, Mario 1 2022 Fractal homogenization of multiscale interface problems. Zbl 1437.35204 Heida, Martin; Kornhuber, Ralf; Podlesny, Joscha 1 2020 Stochastic two-scale convergence and Young measures. Zbl 1493.74101 Heida, Martin; Neukamm, Stefan; Varga, Mario 1 2022 Consistency and convergence for a family of finite volume discretizations of the Fokker-Planck operator. Zbl 1485.35356 Heida, Martin; Kantner, Markus; Stephan, Artur 6 2021 Stochastic homogenization of \(\Lambda\)-convex gradient flows. Zbl 1458.49013 Heida, Martin; Neukamm, Stefan; Varga, Mario 4 2021 On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids. Zbl 07228661 Souček, Ondřej; Heida, Martin; Málek, Josef 6 2020 A mathematical model for Alzheimer’s disease: an approach via stochastic homogenization of the Smoluchowski equation. Zbl 1464.35361 Franchi, Bruno; Heida, Martin; Lorenzani, Silvia 4 2020 The fractional \(p\)-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps. Zbl 1448.35025 Flegel, Franziska; Heida, Martin 3 2020 Fractal homogenization of multiscale interface problems. Zbl 1437.35204 Heida, Martin; Kornhuber, Ralf; Podlesny, Joscha 1 2020 Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps. Zbl 1442.60071 Flegel, Franziska; Heida, Martin; Slowik, Martin 12 2019 Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space. Zbl 1508.46016 Heida, Martin; Patterson, Robert I. A.; Renger, D. R. Michiel 9 2019 Stochastic homogenization of rate-dependent models of monotone type in plasticity. Zbl 1418.35342 Heida, Martin; Nesenenko, Sergiy 3 2019 Convergences of the squareroot approximation scheme to the Fokker-Planck operator. Zbl 1411.65121 Heida, Martin 14 2018 Large deviation principle for a stochastic Allen-Cahn equation. Zbl 1390.60107 Heida, Martin; Röger, Matthias 4 2018 Stochastic homogenization of plasticity equations. Zbl 1393.74014 Heida, Martin; Schweizer, Ben 3 2018 Transmission conditions for the Helmholtz-equation in perforated domains. Zbl 1375.35027 Dörlemann, Christina; Heida, Martin; Schweizer, Ben 5 2017 Stochastic homogenization of rate-independent systems and applications. Zbl 1375.74077 Heida, Martin 5 2017 Averaging of time-periodic dissipation potentials in rate-independent processes. Zbl 1426.34075 Heida, Martin; Mielke, Alexander 2 2017 Non-periodic homogenization of infinitesimal strain plasticity equations. Zbl 1335.74015 Heida, Martin; Schweizer, Ben 7 2016 Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation. Zbl 1340.35108 Heida, Martin 8 2015 On systems of Cahn-Hilliard and Allen-Cahn equations considered as gradient flows in Hilbert spaces. Zbl 1332.35192 Heida, Martin 4 2015 On thermodynamics of fluid interfaces. Zbl 1423.80007 Heida, Martin 1 2014 On the derivation of thermodynamically consistent boundary conditions for the Cahn-Hilliard-Navier-Stokes system. Zbl 1423.76094 Heida, Martin 21 2013 On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002 Heida, Martin; Málek, Josef; Rajagopal, K. R. 47 2012 On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework. Zbl 1295.35360 Heida, Martin; Málek, Josef; Rajagopal, K. R. 16 2012 Stochastic homogenization of heat transfer in polycrystals with nonlinear contact conductivities. Zbl 1252.35035 Heida, Martin 7 2012 An extension of the stochastic two-scale convergence method and application. Zbl 1230.60010 Heida, Martin 17 2011 Modeling multiphase flow in porous media with application to permafrost soil. Zbl 1270.76003 Heida, Martin 3 2011 On compressible Korteweg fluid-like materials. Zbl 1231.76248 Heida, Martin; Málek, Josef 28 2010 all cited Publications top 5 cited Publications all top 5 Cited by 274 Authors 19 Heida, Martin 10 Grasselli, Maurizio 8 Li, Yeping 7 Giorgini, Andrea 5 Cancès, Clément 5 Chen, Yazhou 5 Dong, Suchuan 5 Frigeri, Sergio 5 Neukamm, Stefan 5 Rajagopal, Kumbakonam Ramamani 5 Schweizer, Ben 5 Shi, Xiaoding 5 Sprekels, Jürgen 4 Cimmelli, Vito Antonio 4 Gal, Ciprian Gheorghe Sorin 4 Jia, Hongen 4 Oliveri, Francesco 4 Varga, Mario 4 Wang, Danxia 3 Chen, Zhengzheng 3 Colli, Pierluigi 3 Ganghoffer, Jean-François 3 Gilardi, Gianni 3 He, Qiaolin 3 Lasarzik, Robert 3 Málek, Josef 3 Maurice, Gérard 3 Milišić, Vuk 3 Pace, Angelo Raffaele 3 Rocca, Elisabetta 3 Wang, XingXing 3 Wu, Hao 3 Yin, Rong 2 Almeida, Regina C. 2 Bertsch, Michiel 2 Bresch, Didier 2 Chainais-Hillairet, Claire 2 Chen, Xin 2 Choi, Yongho 2 Dario, Paul 2 Davoli, Elisa 2 Deugoue, Gabriel 2 Ding, Shijin 2 Franchi, Bruno 2 Gao, Fuzheng 2 Gisclon, Marguerite 2 Gorgone, Matteo 2 Hömberg, Dietmar 2 Hong, Hakho 2 Kim, Junseok 2 Klika, Václav 2 Kobayashi, Takayuki 2 Kornhuber, Ralf 2 Kumagai, Takashi 2 Lacroix-Violet, Ingrid 2 Lamacz, Agnes 2 Li, Na 2 Li, Yaqian 2 Li, Yinghua 2 Lima, Ernesto A. B. F. 2 Lin, Ping 2 Maas, Jan 2 Merlet, Benoît 2 Oden, John Tinsley 2 Podlesny, Joscha 2 Portinale, Lorenzo 2 Pražák, Dalibor 2 Průša, Vít 2 Ptashnyk, Mariya 2 Qian, Yujie 2 Rahali, Yosra 2 Riva, Filippo 2 Rogolino, Patrizia 2 Schimperna, Giulio 2 Schütte, Christof 2 Souček, Ondřej 2 Stephan, Artur 2 Tachim Medjo, Theodore 2 Tesi, Maria Carla 2 Tsuda, Kazuyuki 2 Venel, Juliette 2 Wang, Jian 2 You, Bo 1 Aguirre, Natham 1 Allouch, Samar 1 Alouges, François 1 Andres, Sebastian 1 Anguiano, Marcelino 1 Antonelli, Paolo 1 Bella, Peter 1 Bertini, Lorenzo Bertini 1 Betz, Volker 1 Blechta, Jan 1 Blömker, Dirk 1 Bonetti, Elena 1 Bosia, Stefano 1 Buttà, Paolo 1 Cao, Dingding 1 Carrillo de la Plata, José Antonio 1 Cavaterra, Cecilia ...and 174 more Authors all top 5 Cited in 82 Serials 8 Journal of Differential Equations 7 International Journal of Engineering Science 7 Journal of Computational Physics 7 Calculus of Variations and Partial Differential Equations 6 Archive for Rational Mechanics and Analysis 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Mathematical Fluid Mechanics 5 SIAM Journal on Mathematical Analysis 5 Networks and Heterogeneous Media 4 Journal of Mathematical Analysis and Applications 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Multiscale Modeling & Simulation 3 Mathematical Methods in the Applied Sciences 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Continuum Mechanics and Thermodynamics 3 Discrete and Continuous Dynamical Systems. Series B 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Applicable Analysis 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Applied Mathematics and Optimization 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 Acta Mathematicae Applicatae Sinica. English Series 2 Probability Theory and Related Fields 2 Asymptotic Analysis 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematics and Mechanics of Solids 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Nonlinear Analysis. Real World Applications 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Stochastics and Dynamics 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Advances in Engineering Sciences and Applied Mathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Nonlinearity 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Journal of Computational and Applied Mathematics 1 Meccanica 1 SIAM Journal on Control and Optimization 1 Zeitschrift für Analysis und ihre Anwendungen 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of Elasticity 1 Stochastic Processes and their Applications 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 European Journal of Mechanics. B. Fluids 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Evolution Equations 1 Archives of Computational Methods in Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Theoretical and Applied Mechanics 1 Acta Numerica 1 Oberwolfach Reports 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Advances in Applied Mathematics and Mechanics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bollettino dell’Unione Matematica Italiana 1 Mathematics in Engineering all top 5 Cited in 27 Fields 135 Partial differential equations (35-XX) 72 Fluid mechanics (76-XX) 31 Numerical analysis (65-XX) 30 Probability theory and stochastic processes (60-XX) 29 Mechanics of deformable solids (74-XX) 23 Classical thermodynamics, heat transfer (80-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Statistical mechanics, structure of matter (82-XX) 13 Biology and other natural sciences (92-XX) 10 Operator theory (47-XX) 9 Optics, electromagnetic theory (78-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Integral equations (45-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year