Edit Profile (opens in new tab) Miranville, Alain M. Co-Author Distance Author ID: miranville.alain-m Published as: Miranville, Alain; Miranville, A.; Miranville, Alain M. more...less Homepage: http://wwwmathlabo.univ-poitiers.fr/~miranv/ External Links: MGP · dblp · IdRef · theses.fr Documents Indexed: 248 Publications since 1993, including 5 Books and 5 Additional arXiv Preprints 21 Contributions as Editor Co-Authors: 128 Co-Authors with 212 Joint Publications 3,392 Co-Co-Authors all top 5 Co-Authors 54 single-authored 32 Cherfils, Laurence 26 Gatti, Stefania 21 Zelik, Sergey V. 20 Quintanilla de Latorre, Ramón 18 Grasselli, Maurizio 11 Conti, Monica C. 11 Efendiev, Messoud 11 Guillevin, Rémy 11 Pata, Vittorino 11 Schimperna, Giulio 9 Fakih, Hussein 8 Makki, Ahmad 8 Temam, Roger Meyer 7 Moroşanu, Costică N. 7 Piétrus, Alain 6 Gal, Ciprian Gheorghe Sorin 6 Peng, Shuiran 5 Chepyzhov, Vladimir V. 5 Guillevin, Carole 5 Perrillat-Mercerot, Angélique 5 Qin, Yuming 5 Rakotoson, Jean-Michel 5 Yang, Xinguang 4 Alsayed, Hawraa 4 Bonfoh, Ahmed S. 4 Carrive, Maïté 4 Fabrie, Pierre 4 Galusinski, Cédric 4 Henrot, Antoine 4 Petcu, Madalina 4 Rocca, Elisabetta 4 Saoud, Wafa 4 Wehbe, Ali 3 Li, Lu 3 Magaña, Antonio 3 Ruiz Goldstein, Giséle 3 Talhouk, Raafat 3 Wang, Rongnian 2 Alaa, Noureddine 2 Aouadi, Moncef 2 Bourmeyster, Nicolas 2 Dambrine, Marc 2 Deheuvels, Thibaut 2 Fragnelli, Genni 2 Gilardi, Gianni 2 Giorgini, Andrea 2 Israel, Haydi 2 Laamri, El Haj 2 Naudin, Mathieu 2 Roche, Jean Rodolphe 2 Sadaka, Georges 2 Schmitt, Didier 2 Wang, Xiaoming 2 Zhang, Wen 1 Agosti, Abramo 1 Andami Ovono, Armel 1 Aziz-Alaoui, Moulay-Ahmed 1 Barbu, Tudor 1 Belinsky, Boris P. 1 Ben Nasr, Fathi 1 Berinde, Vasile 1 Bosia, Stefano 1 Caginalp, Carey 1 Cantin, Guillaume 1 Caraballo Garrido, Tomás 1 Cârjă, Ovidiu 1 Cavaterra, Cecilia 1 Chehab, Jean-Paul 1 Chen, Min 1 Ciarletta, Pasquale 1 Colli, Pierluigi 1 Dell’Oro, Filippo 1 DeSantis, Mark 1 Dong, Xiaolei 1 Eden, Alp 1 Forest, Samuel 1 García Guirao, Juan Luis 1 Goldstein, Jerome Arthur 1 Goubet, Olivier 1 Guo, Chunxiao 1 Hatchondo, Laura 1 Hnid, Mohammed 1 Hou, Xiaojie 1 Hu, Wenjie 1 Huang, Lan 1 Ilyin, Aleksei A. 1 Kalantarov, Varga K. 1 Lan, Kunquan 1 Langa, Jose’ Antonio 1 Li, Desheng 1 Lichnewsky, Alain 1 Lin, Yan 1 Lods, Véronique 1 Lorenzi, Luca 1 Lu, Xin 1 Ma, Zhong-Xin 1 Mininni, Rosa Maria 1 Ntsokongo, Armel Judice 1 Poullet, Pascal 1 Real Anguas, José ...and 28 more Co-Authors all top 5 Serials 26 Discrete and Continuous Dynamical Systems. Series S 18 Discrete and Continuous Dynamical Systems 10 Asymptotic Analysis 10 Communications on Pure and Applied Analysis 9 Mathematical Methods in the Applied Sciences 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Applied Mathematics Letters 8 Journal of Mathematical Analysis and Applications 7 Applicable Analysis 7 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 6 Nonlinear Analysis. Real World Applications 5 Applied Mathematics and Optimization 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Applied Analysis and Computation 4 Mediterranean Journal of Mathematics 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Differential Equations 3 Mathematische Nachrichten 3 Quarterly of Applied Mathematics 3 Physica D 3 Applications of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Advances in Mathematical Sciences and Applications 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Mathematical Study 3 AIMS Mathematics 2 Differential and Integral Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Evolution Equations 2 Milan Journal of Mathematics 2 Central European Journal of Mathematics 2 Mathematical Medicine and Biology 2 SCOPOS 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 IMA Journal of Applied Mathematics 1 International Journal of Engineering Science 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 IMRN. International Mathematics Research Notices 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Nonlinear World 1 Computational and Applied Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Applied Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Analysis and Applications (Singapore) 1 International Journal of Numerical Analysis and Modeling 1 Cubo 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Inverse Problems and Imaging 1 AIMS Series on Differential Equations and Dynamical Systems 1 SIAM Journal on Imaging Sciences 1 Electronic Research Announcements in Mathematical Sciences 1 Bulletin of the Transilvania University of Brașov. Series III. Mathematics, Informatics, Physics 1 Annals of the University of Bucharest. Mathematical Series 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations 1 Electronic Research Archive all top 5 Fields 236 Partial differential equations (35-XX) 46 Dynamical systems and ergodic theory (37-XX) 45 Classical thermodynamics, heat transfer (80-XX) 34 Mechanics of deformable solids (74-XX) 34 Fluid mechanics (76-XX) 20 General and overarching topics; collections (00-XX) 15 Biology and other natural sciences (92-XX) 13 Numerical analysis (65-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 6 History and biography (01-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Integral equations (45-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 214 Publications have been cited 3,525 times in 1,264 Documents Cited by ▼ Year ▼ Attractors for dissipative partial differential equations in bounded and unbounded domains. Zbl 1221.37158 Miranville, A.; Zelik, S. 200 2008 Robust exponential attractors for Cahn-Hilliard type equations with singular potentials. Zbl 1050.35113 Miranville, Alain; Zelik, Sergey 129 2004 Exponential attractors for a nonlinear reaction-diffusion system in \(\mathbb R^3\). Zbl 1151.35315 Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 126 2000 The Cahn-Hilliard equation with logarithmic potentials. Zbl 1250.35129 Cherfils, Laurence; Miranville, Alain; Zelik, Sergey 123 2011 Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011 Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey 91 2004 On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Zbl 1172.35417 Gilardi, Gianni; Miranville, A.; Schimperna, Giulio 84 2009 Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems. Zbl 1088.37005 Efendiev, M.; Zelik, S.; Miranville, A. 79 2005 The Cahn-Hilliard equation. Recent advances and applications. Zbl 1446.35001 Miranville, Alain 78 2019 Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1068.35020 Miranville, A.; Zelik, S. 74 2005 The Cahn-Hilliard-Oono equation with singular potential. Zbl 1386.35023 Giorgini, Andrea; Grasselli, Maurizio; Miranville, Alain 55 2017 Exponential attractors for a singularly perturbed Cahn-Hilliard system. Zbl 1046.37047 Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 53 2004 The Cahn-Hilliard equation and some of its variants. Zbl 1425.35086 Miranville, Alain 53 2017 The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions. Zbl 1203.35046 Miranville, Alain; Zelik, Sergey 49 2010 A Cahn-Hilliard model in a domain with non-permeable walls. Zbl 1228.35051 Goldstein, Gisèle Ruiz; Miranville, Alain; Schimperna, Giulio 48 2011 On the Caginalp system with dynamic boundary conditions and singular potentials. Zbl 1212.35012 Cherfils, Laurence; Miranville, Alain 47 2009 Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard System. Zbl 1419.35160 Giorgini, Andrea; Miranville, Alain; Temam, Roger 47 2019 Mathematical modelling in continuum mechanics. 2nd ed. Zbl 1077.76001 Temam, Roger; Miranville, Alain M. 41 2005 On a generalized Cahn-Hilliard equation with biological applications. Zbl 1304.35133 Cherfils, Laurence; Miranville, Alain; Zelik, Sergey 40 2014 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 On the hyperbolic relaxation of the one-dimensional Cahn–Hilliard equation. Zbl 1160.35518 Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino 38 2005 Pullback exponential attractors. Zbl 1303.37032 Langa, José A.; Miranville, Alain; Real, José 37 2010 Hyperbolic relaxation of the viscous Cahn-Hilliard equation in 3-D. Zbl 1073.35043 Gatti, Stefania; Grasselli, Maurizio; Pata, Vittorino; Miranville, Alain 37 2005 Some generalizations of the Caginalp phase-field system. Zbl 1178.35194 Miranville, Alain; Quintanilla, Ramon 36 2009 The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials. Zbl 1194.35074 Grasselli, Maurizio; Miranville, Alain; Schimperna, Giulio 35 2010 Attractors for semi-linear equations of viscoelasticity with very low dissipation. Zbl 1179.35070 Gatti, S.; Miranville, A.; Pata, V.; Zelik, S. 35 2008 Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials. Zbl 1133.35017 Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino; Zelik, Sergey 35 2007 A generalization of the Caginalp phase-field system based on the Cattaneo law. Zbl 1167.35304 Miranville, Alain; Quintanilla, Ramon 34 2009 Asymptotic behavior of the Cahn-Hilliard-Oono equation. Zbl 1304.35342 Miranville, Alain 34 2011 A construction of a robust family of exponential attractors. Zbl 1078.37047 Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino 33 2006 A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls. Zbl 1276.49014 Cherfils, L.; Gatti, S.; Miranville, A. 33 2013 Some results on the asymptotic behavior of the Caginalp system with singular potentials. Zbl 1145.35042 Cherfils, Laurence; Miranville, Alain 32 2007 Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations. Zbl 1084.35058 Ilyin, A. A.; Miranville, A.; Titi, E. S. 31 2004 Cahn-Hilliard-Navier-Stokes systems with moving contact lines. Zbl 1372.35140 Gal, C. G.; Grasselli, Maurizio; Miranville, Alain 30 2016 Asymptotic behavior of a phase-field system with dynamic boundary conditions. Zbl 1123.35310 Gatti, Stefania; Miranville, Alain 29 2006 Robust exponential attractors for singularly perturbed phase-field type equations. Zbl 1004.35024 Miranville, Alain; Zelik, Sergey 29 2002 On the long time behavior of a tumor growth model. Zbl 1416.35279 Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio 29 2019 A phase-field model based on a three-phase-lag heat conduction. Zbl 1213.35111 Miranville, Alain; Quintanilla, Ramon 28 2011 Exponential decay in one-dimensional type III thermoelasticity with voids. Zbl 1415.35259 Miranville, Alain; Quintanilla, Ramón 28 2019 A type III phase-field system with a logarithmic potential. Zbl 1213.35187 Miranville, Alain; Quintanilla, Ramon 26 2011 Uniform global attractors for non-isothermal viscous and non-viscous Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1183.35052 Gal, Ciprian G.; Miranville, Alain 25 2009 Some mathematical models in phase transition. Zbl 1275.35048 Miranville, Alain 25 2014 Asymptotic behaviour of a generalized Cahn-Hilliard equation with a proliferation term. Zbl 1479.35131 Miranville, Alain 24 2013 Exponential attractors for singularly perturbed damped wave equations: a simple construction. Zbl 1139.35030 Miranville, Alain; Pata, Vittorino; Zelik, Sergey 22 2007 The Cahn-Hilliard equation for deformable elastic continua. Zbl 0987.35156 Carrive, M.; Miranville, A.; Piétrus, A. 22 2000 Memory relaxation of first order evolution equations. Zbl 1181.35026 Gatti, Stefania; Grasselli, Maurizio; Miranville, Alain; Pata, Vittorino 21 2005 On the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation with logarithmic nonlinear terms. Zbl 1381.35082 Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 21 2015 Exponential decay in one-dimensional type II thermoviscoelasticity with voids. Zbl 1439.35071 Miranville, Alain; Quintanilla, Ramón 21 2020 On the conserved phase-field model. Zbl 1308.35125 Miranville, Alain 21 2013 Some generalizations of the Cahn-Hilliard equation. Zbl 0953.35055 Miranville, Alain 20 2000 Exponential attractors for nonautonomous first-order evolution equations. Zbl 0980.34051 Fabrie, Pierre; Miranville, Alain 20 1998 Continuous families of exponential attractors for singularly perturbed equations with memory. Zbl 1196.35054 Gatti, Stefania; Miranville, Alain; Pata, Vittorino; Zelik, Sergey 19 2010 On the Cahn-Hilliard-Oono-Navier-Stokes equations with singular potentials. Zbl 1349.35171 Miranville, Alain; Temam, Roger 19 2016 Asymptotic behavior of a sixth-order Cahn-Hilliard system. Zbl 1286.35047 Miranville, Alain 19 2014 On Cahn-Hilliard-Gurtin equations. Zbl 1042.74553 Bonfoh, Ahmed; Miranville, Alain 18 2001 Nonisothermal Allen-Cahn equations with coupled dynamic boundary conditions. Zbl 1178.35076 Gal, Ciprian; Grasselli, Maurizio; Miranville, Alain 18 2008 Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 1515.35061 Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 18 2015 Singularly perturbed 1D Cahn-Hilliard equation revisited. Zbl 1387.35341 Bonfoh, Ahmed; Grasselli, Maurizio; Miranville, Alain 18 2010 Phase-field systems with nonlinear coupling and dynamic boundary conditions. Zbl 1184.35053 Cavaterra, Cecilia; Gal, Ciprian G.; Grasselli, Maurizio; Miranville, Alain 17 2010 On trajectory and global attractors for semilinear heat equations with fading memory. Zbl 1186.37092 Chepyzhov, V. V.; Miranville, A. 17 2006 Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials. Zbl 1143.35070 Cherfils, Laurence; Gatti, Stefania; Miranville, Alain 16 2008 A complex version of the Cahn-Hilliard equation for grayscale image inpainting. Zbl 1377.35143 Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 16 2017 A Cahn-Hilliard-Gurtin model with dynamic boundary conditions. Zbl 1277.35202 Goldstein, Gisèle Ruiz; Miranville, Alain 16 2013 Nonisothermal phase separation based on a microforce balance. Zbl 1140.80388 Miranville, Alain; Schimperna, Giulio 15 2005 Mathematical modelling in continuum mechanics. Zbl 0993.76002 Temam, Roger; Miranville, Alain 15 2001 Long-time behavior of some models of Cahn-Hilliard equations in deformable continua. Zbl 0989.35066 Miranville, Alain 15 2001 Trajectory and global attractors for evolution equations with memory. Zbl 1082.35035 Chepyzhov, V. V.; Gatti, S.; Grasselli, M.; Miranville, A.; Pata, V. 15 2006 On the longtime behavior of a 2D hydrodynamic model for chemically reacting binary fluid mixtures. Zbl 1292.35056 Bosia, Stefano; Grasselli, Maurizio; Miranville, Alain 15 2014 Long time behavior of a singular perturbation of the viscous Cahn-Hilliard-Gurtin equation. Zbl 1145.35011 Bonfoh, Ahmed; Grasselli, Maurizio; Miranville, Alain 14 2008 Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations. Zbl 0949.35112 Miranville, Alain; Wang, Xiaoming 14 1996 Attractors for nonautonomous nonhomogeneous Navier-Stokes equations. Zbl 0908.35098 Miranville, A.; Wang, X. 14 1997 Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility. Zbl 1241.35024 Grasselli, Maurizio; Miranville, Alain; Rossi, Riccarda; Schimperna, Giulio 14 2011 Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system. Zbl 1025.37043 Efendiev, Messoud; Miranville, Alain; Zelik, Sergey 14 2003 A Cahn-Hilliard system with a fidelity term for color image inpainting. Zbl 1381.94014 Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 14 2016 On the existence, uniqueness and regularity of solutions to the phase-field system with a general regular potential and a general class of nonlinear and non-homogeneous boundary conditions. Zbl 1304.35167 Cârjă, Ovidiu; Miranville, Alain; Moroşanu, Costică 14 2015 Finite-dimensional attractors for reaction-diffusion equations in \(\mathbb{R}^n\) with a strong nonlinearity. Zbl 0959.35025 Efendiev, Messoud; Miranville, Alain 13 1999 Consistent models of Cahn-Hilliard-Gurtin equations with Neumann boundary conditions. Zbl 0999.74007 Miranville, Alain 13 2001 A model of Cahn-Hilliard equation based on a microforce balance. Zbl 0932.35118 Miranville, Alain 13 1999 Robust exponential attractors for singularly perturbed phase-field equations with dynamic boundary conditions. Zbl 1180.35119 Gal, Ciprian G.; Grasselli, Maurizio; Miranville, Alain 13 2008 Robust exponential attractors and convergence to equilibria for non-isothermal Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1173.35026 Gal, Ciprian G.; Miranville, Alain 13 2009 Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin-Pipkin’s model. Zbl 1333.35270 Aouadi, Moncef; Miranville, Alain 13 2015 Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory. Zbl 1343.35036 Miranville, Alain; Aouadi, Moncef 13 2015 Higher-order Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1366.35062 Mininni, Rosa Maria; Miranville, Alain; Romanelli, Silvia 13 2017 On the existence, uniqueness and regularity of solutions to the phase-field transition system with non-homogeneous Cauchy-Neumann and nonlinear dynamic boundary conditions. Zbl 1443.35061 Miranville, Alain; Moroşanu, Costică 13 2016 Exponential attractors for a class of evolution equations by a decomposition method. Zbl 1101.35334 Miranville, Alain 12 1999 Sixth-order Cahn-Hilliard systems with dynamic boundary conditions. Zbl 1323.35093 Miranville, Alain 12 2015 A Caginalp phase-field system based on type III heat conduction with two temperatures. Zbl 1338.35233 Miranville, Alain; Quintanilla, Ramon 12 2016 A generalization of the Allen-Cahn equation. Zbl 1320.35346 Miranville, Alain; Quintanilla, Ramon 12 2015 Higher-order anisotropic models in phase separation. Zbl 1422.35109 Cherfils, Laurence; Miranville, Alain; Peng, Shuiran 12 2019 Dynamical aspect of a generalized Cahn-Hilliard equation based on a microforce balance. Zbl 0936.35036 Miranville, A.; Piétrus, A.; Rakotoson, J. M. 11 1998 Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation. Zbl 1072.35045 Efendiev, M.; Miranville, A.; Zelik, S. 11 2004 Asymptotic behavior of a model for order-disorder and phase separation. Zbl 1379.35249 Miranville, Alain; Saoud, Wafa; Talhouk, Raafat 11 2017 On a doubly nonlinear Cahn-Hilliard-Gurtin system. Zbl 1203.35045 Miranville, Alain; Schimperna, Giulio 11 2010 Inertial manifolds for a singular perturbation of the viscous Cahn-Hilliard-Gurtin equation. Zbl 1211.35054 Bonfoh, Ahmed; Grasselli, Maurizio; Miranville, Alain 11 2010 The dimension of the global attractor for dissipative reaction-diffusion systems. Zbl 1041.37039 Efendiev, M.; Miranville, A. 10 2003 Asymptotic behavior of the Caginalp phase-field system with coupled dynamic boundary conditions. Zbl 1244.35067 Conti, Monica; Gatti, Stefania; Miranville, Alain 10 2012 Sixth-order Cahn-Hilliard equations with singular nonlinear terms. Zbl 1332.35149 Miranville, Alain 10 2015 Doubly nonlinear Cahn-Hilliard-Gurtin equations. Zbl 1191.35068 Miranville, A.; Zelik, S. 10 2009 A Caginalp phase-field system with a nonlinear coupling. Zbl 1197.35082 Miranville, Alain; Quintanilla, Ramon 10 2010 On a phase-field model with a logarithmic nonlinearity. Zbl 1265.35139 Miranville, Alain 10 2012 Incremental unknowns on nonuniform meshes. Zbl 0913.65088 Chehab, J.-P.; Miranville, A. 9 1998 On an optimal control problem describing lactate production inhibition. Zbl 1519.92071 Alsayed, Hawraa; Fakih, Hussein; Miranville, Alain; Wehbe, Ali 3 2023 A qualitative analysis of a second-order anisotropic phase-field transition system endowed with a general class of nonlinear dynamic boundary conditions. Zbl 1518.35435 Berinde, Vasile; Miranville, Alain; Moroşanu, Costicǎ 1 2023 Existence of solutions to a Cahn-Hilliard system with two mobilities. Zbl 1520.35098 Cherfils, Laurence; Miranville, Alain 1 2023 Hyperdissipative Navier-Stokes equations driven by time-dependent forces: invariant manifolds. Zbl 07674591 Wang, Rong-Nian; Zhao, Jia-Cheng; Miranville, Alain 1 2023 A Cahn-Hilliard model based on microconcentrations. Zbl 1520.35097 Forest, Samuel; Miranville, Alain 1 2023 Topological structure of the solution sets for a nonlinear delay evolution. Zbl 1496.34101 Wang, Rong-Nian; Ma, Zhong-Xin; Miranville, Alain 9 2022 A numerical analysis of the coupled Cahn-Hilliard/Allen-Cahn system with dynamic boundary conditions. Zbl 1513.65375 Makki, Ahmad; Miranville, Alain; Petcu, Madalina 3 2022 On a coupled Cahn-Hilliard system for copolymer/homopolymer mixtures. Zbl 1499.35331 Cherfils, Laurence; Miranville, Alain 1 2022 The coupled Cahn-Hilliard/Allen-Cahn system with dynamic boundary conditions. Zbl 1504.35514 Makki, Ahmad; Miranville, Alain; Petcu, Madalina 1 2022 Optimal control of an Allen-Cahn model for tumor growth through supply of cytotoxic drugs. Zbl 1514.92039 Alsayed, Hawraa; Fakih, Hussein; Miranville, Alain; Wehbe, Ali 1 2022 On a tumor growth model with brain lactate kinetics. Zbl 1505.92045 Cherfils, Laurence; Gatti, Stefania; Guillevin, Carole; Miranville, Alain; Guillevin, Rémy 1 2022 A qualitative analysis of a nonlinear second-order anisotropic diffusion problem with non-homogeneous Cauchy-Stefan-Boltzmann boundary conditions. Zbl 1470.35199 Miranville, Alain; Moroşanu, Costică 7 2021 The Cahn-Hilliard equation with a nonlinear source term. Zbl 1470.35198 Miranville, Alain 6 2021 A coupled Cahn-Hilliard model for the proliferative-to-invasive transition of hypoxic glioma cells. Zbl 1462.35170 Li, Lu; Miranville, Alain; Guillevin, Rémy 4 2021 On a Cahn-Hilliard model for image segmentation. Zbl 1471.35177 Li, Lu; Cherfils, Laurence; Miranville, Alain; Rogeon, Philippe; Guillevin, Rémy 4 2021 A convergent convex splitting scheme for a nonlocal Cahn-Hilliard-Oono type equation with a transport term. Zbl 1501.65066 Cherfils, Laurence; Fakih, Hussein; Grasselli, Maurizio; Miranville, Alain 4 2021 Cahn-Hilliard models for glial cells. Zbl 1475.35176 Li, Lu; Miranville, Alain; Guillevin, Rémy 4 2021 Analysis of a model for tumor growth and lactate exchanges in a glioma. Zbl 1483.35283 Cherfils, Laurence; Gatti, Stefania; Miranville, Alain; Guillevin, Rémy 3 2021 Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains. Zbl 1470.35263 Yang, Xin-Guang; Wang, Rong-Nian; Yan, Xingjie; Miranville, Alain 3 2021 Bifurcations and synchronization in networks of unstable reaction-diffusion systems. Zbl 1462.35172 Miranville, Alain; Cantin, Guillaume; Aziz-Alaoui, M. A. 2 2021 An Allen-Cahn equation based on an unconstrained order parameter and its Cahn-Hilliard limit. Zbl 1472.35025 Miranville, Alain 2 2021 On the conserved Caginalp phase-field system with logarithmic potentials based on the Maxwell-Cattaneo law with two temperatures. Zbl 1475.35089 Makki, Ahmad; Miranville, Alain; Sadaka, Georges 1 2021 Exponential decay in one-dimensional type II thermoviscoelasticity with voids. Zbl 1439.35071 Miranville, Alain; Quintanilla, Ramón 21 2020 Qualitative and quantitative analysis for the mathematical models of phase separation and transition. Applications. Zbl 1448.35009 Miranville, Alain; Moroşanu, Costicǎ 9 2020 Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids. Zbl 1453.35167 Magaña, A.; Miranville, A.; Quintanilla, R. 8 2020 Long-time behavior of the Cahn-Hilliard equation with dynamic boundary condition. Zbl 1443.35054 Miranville, Alain; Wu, Hao 7 2020 Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature. Zbl 1437.35084 Miranville, Alain; Quintanilla, Ramon; Saoud, Wafa 5 2020 On a Cahn-Hilliard/Allen-Cahn system coupled with a type III heat equation and singular potentials. Zbl 1444.35026 Makki, Ahmad; Miranville, Alain; Saoud, Wafa 3 2020 Mathematical modeling of brain metabolites variations in the circadian rhythm. Zbl 1484.92009 Hatchondo, Laura; Guillevin, Carole; Naudin, Mathieu; Cherfils, Laurence; Miranville, Alain; Guillevin, Rémy 1 2020 The Cahn-Hilliard equation. Recent advances and applications. Zbl 1446.35001 Miranville, Alain 78 2019 Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard System. Zbl 1419.35160 Giorgini, Andrea; Miranville, Alain; Temam, Roger 47 2019 On the long time behavior of a tumor growth model. Zbl 1416.35279 Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio 29 2019 Exponential decay in one-dimensional type III thermoelasticity with voids. Zbl 1415.35259 Miranville, Alain; Quintanilla, Ramón 28 2019 Higher-order anisotropic models in phase separation. Zbl 1422.35109 Cherfils, Laurence; Miranville, Alain; Peng, Shuiran 12 2019 Existence of solutions to a Cahn-Hilliard type equation with a logarithmic nonlinear term. Zbl 1409.35110 Miranville, Alain 9 2019 On the Cahn-Hilliard/Allen-Cahn equations with singular potentials. Zbl 1420.35118 Miranville, Alain; Saoud, Wafa; Talhouk, Raafat 9 2019 Mathematical analysis of a model for proliferative-to-invasive transition of hypoxic glioma cells. Zbl 1434.35253 Conti, Monica; Gatti, Stefania; Miranville, Alain 7 2019 On the time decay in phase-lag thermoelasticity with two temperatures. Zbl 1428.74057 Magaña, Antonio; Miranville, Alain; Quintanilla, Ramón 7 2019 A qualitative analysis and numerical simulations of a nonlinear second-order anisotropic diffusion problem with non-homogeneous Cauchy-Neumann boundary conditions. Zbl 1428.35162 Barbu, Tudor; Miranville, Alain; Moroşanu, Costică 6 2019 Analysis of a mathematical model for the glutamate/glutamine cycle in the brain. Zbl 1427.92036 Perrillat-Mercerot, A.; Bourmeyster, N.; Guillevin, C.; Miranville, A.; Guillevin, R. 3 2019 Finite difference scheme for 2D parabolic problem modelling electrostatic micro-electromechanical systems. Zbl 1427.78025 Alsayed, Hawraa; Fakih, Hussein; Miranville, Alain; Wehbe, Ali 2 2019 On the nonconserved Caginalp phase-field system based on the Maxwell-Cattaneo law with two temperatures and logarithmic potentials. Zbl 1409.35109 Makki, Ahmad; Miranville, Alain; Sadaka, Georges 2 2019 Analysis of discretized parabolic problems modeling electrostatic micro-electromechanical systems. Zbl 1419.35091 Cherfils, Laurence; Miranville, Alain; Peng, Shuiran; Xu, Chuanju 1 2019 Analysis of a mathematical model for brain lactate kinetics. Zbl 1406.92082 Guillevin, Carole; Guillevin, Rémy; Miranville, Alain; Perrillat-Mercerot, Angélique 8 2018 On the stability in phase-lag heat conduction with two temperatures. Zbl 1457.80005 Magaña, Antonio; Miranville, Alain; Quintanilla, Ramón 7 2018 On anisotropic Caginalp phase-field type models with singular nonlinear terms. Zbl 1456.35042 Miranville, Alain; Ntsokongo, A. J. 4 2018 On higher-order anisotropic conservative Caginalp phase-field systems. Zbl 1388.35089 Miranville, Alain 1 2018 Attractors for a Caginalp phase-field model with singular potential. Zbl 1438.35057 Miranville, Alain; Wehbe, Charbel 1 2018 Asymptotic behavior of higher-order Navier-Stokes-Cahn-Hilliard systems. Zbl 1394.35227 Cherfils, Laurence; Gatti, Stefania; Miranville, Alain 1 2018 The Cahn-Hilliard-Oono equation with singular potential. Zbl 1386.35023 Giorgini, Andrea; Grasselli, Maurizio; Miranville, Alain 55 2017 The Cahn-Hilliard equation and some of its variants. Zbl 1425.35086 Miranville, Alain 53 2017 A complex version of the Cahn-Hilliard equation for grayscale image inpainting. Zbl 1377.35143 Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 16 2017 Higher-order Cahn-Hilliard equations with dynamic boundary conditions. Zbl 1366.35062 Mininni, Rosa Maria; Miranville, Alain; Romanelli, Silvia 13 2017 Asymptotic behavior of a model for order-disorder and phase separation. Zbl 1379.35249 Miranville, Alain; Saoud, Wafa; Talhouk, Raafat 11 2017 Higher-order generalized Cahn-Hilliard equations. Zbl 1413.35249 Cherfils, Laurence; Miranville, Alain; Peng, Shuiran; Zhang, Wen 9 2017 Higher-order models in phase separation. Zbl 1474.35377 Cherfils, Laurence; Miranville, Alain; Peng, Shuiran 7 2017 A singular reaction-diffusion equation associated with brain lactate kinetics. Zbl 1365.35072 Miranville, Alain 6 2017 On a Caginalp phase-field system with two temperatures and memory. Zbl 1372.35047 Conti, M.; Gatti, S.; Miranville, A.; Quintanilla, R. 5 2017 On a reaction-diffusion system associated with brain lactate kinetics. Zbl 1357.35188 Guillevin, Rémy; Miranville, Alain; Perrillat-Mercerot, Angélique 4 2017 Mathematical analysis of a parabolic-elliptic model for brain lactate kinetics. Zbl 1390.35157 Miranville, Alain 3 2017 On the spatial behavior in two-temperature generalized thermoelastic theories. Zbl 1378.35299 Miranville, Alain; Quintanilla, Ramon 2 2017 A phase-field system with two temperatures and memory. Zbl 1424.35057 Conti, Monica; Gatti, Stefania; Miranville, Alain 2 2017 Cahn-Hilliard-Navier-Stokes systems with moving contact lines. Zbl 1372.35140 Gal, C. G.; Grasselli, Maurizio; Miranville, Alain 30 2016 On the Cahn-Hilliard-Oono-Navier-Stokes equations with singular potentials. Zbl 1349.35171 Miranville, Alain; Temam, Roger 19 2016 A Cahn-Hilliard system with a fidelity term for color image inpainting. Zbl 1381.94014 Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 14 2016 On the existence, uniqueness and regularity of solutions to the phase-field transition system with non-homogeneous Cauchy-Neumann and nonlinear dynamic boundary conditions. Zbl 1443.35061 Miranville, Alain; Moroşanu, Costică 13 2016 A Caginalp phase-field system based on type III heat conduction with two temperatures. Zbl 1338.35233 Miranville, Alain; Quintanilla, Ramon 12 2016 Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions. Zbl 1346.35029 Miranville, Alain; Makki, Ahmad 9 2016 Analysis of an iterative scheme of fractional steps type associated to the nonlinear phase-field equation with non-homogeneous dynamic boundary conditions. Zbl 1353.65094 Miranville, Alain; Moroşanu, Costică 9 2016 On the Caginalp phase-field systems with two temperatures and the Maxwell-Cattaneo law. Zbl 1348.35102 Miranville, Alain; Quintanilla, Ramon 7 2016 On the phase-field-crystal model with logarithmic nonlinear terms. Zbl 1336.35086 Miranville, Alain 7 2016 Higher-order anisotropic Caginalp phase-field systems. Zbl 1362.35052 Miranville, Alain 6 2016 Higher-order Allen-Cahn models with logarithmic nonlinear terms. Zbl 1364.35363 Cherfils, Laurence; Miranville, Alain; Peng, Shuiran 4 2016 On the anisotropic Caginalp phase-field system with singular nonlinear terms. Zbl 1348.35097 Miranville, Alain 1 2016 On the Caginalp phase-field system based on the Cattaneo law with nonlinear coupling. Zbl 1427.35111 Andami Ovono, Armel; Miranville, Alain 1 2016 On the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation with logarithmic nonlinear terms. Zbl 1381.35082 Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 21 2015 Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting. Zbl 1515.35061 Cherfils, Laurence; Fakih, Hussein; Miranville, Alain 18 2015 On the existence, uniqueness and regularity of solutions to the phase-field system with a general regular potential and a general class of nonlinear and non-homogeneous boundary conditions. Zbl 1304.35167 Cârjă, Ovidiu; Miranville, Alain; Moroşanu, Costică 14 2015 Smooth attractor for a nonlinear thermoelastic diffusion thin plate based on Gurtin-Pipkin’s model. Zbl 1333.35270 Aouadi, Moncef; Miranville, Alain 13 2015 Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory. Zbl 1343.35036 Miranville, Alain; Aouadi, Moncef 13 2015 Sixth-order Cahn-Hilliard systems with dynamic boundary conditions. Zbl 1323.35093 Miranville, Alain 12 2015 A generalization of the Allen-Cahn equation. Zbl 1320.35346 Miranville, Alain; Quintanilla, Ramon 12 2015 Sixth-order Cahn-Hilliard equations with singular nonlinear terms. Zbl 1332.35149 Miranville, Alain 10 2015 Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems. Zbl 1334.35106 Makki, Ahmad; Miranville, Alain 7 2015 Numerical analysis of a Cahn-Hilliard type equation with dynamic boundary conditions. Zbl 1320.65142 Israel, Haydi; Miranville, Alain; Petcu, Madalina 7 2015 A generalized Cahn-Hilliard equation with logarithmic potentials. Zbl 1335.35098 Miranville, Alain 6 2015 Multi-component Cahn-Hilliard systems with dynamic boundary conditions. Zbl 1350.35153 Conti, Monica; Gatti, Stefania; Miranville, Alain 4 2015 A reformulation of the Caginalp phase-field system based on the Maxwell-Cattaneo law. Zbl 1423.82023 Miranville, Alain 4 2015 On an anisotropic Allen-Cahn system. Zbl 1331.35175 Miranville, Alain 3 2015 On a generalized Cahn-Hilliard equation with biological applications. Zbl 1304.35133 Cherfils, Laurence; Miranville, Alain; Zelik, Sergey 40 2014 Some mathematical models in phase transition. Zbl 1275.35048 Miranville, Alain 25 2014 Asymptotic behavior of a sixth-order Cahn-Hilliard system. Zbl 1286.35047 Miranville, Alain 19 2014 On the longtime behavior of a 2D hydrodynamic model for chemically reacting binary fluid mixtures. Zbl 1292.35056 Bosia, Stefano; Grasselli, Maurizio; Miranville, Alain 15 2014 The Penrose-Fife phase-field model. Zbl 1304.35361 Miranville, Alain; Rocca, Elisabetta; Schimperna, Giulio; Segatti, Antonio 6 2014 Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law. Zbl 1304.35123 Miranville, Alain 3 2014 A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls. Zbl 1276.49014 Cherfils, L.; Gatti, S.; Miranville, A. 33 2013 Asymptotic behaviour of a generalized Cahn-Hilliard equation with a proliferation term. Zbl 1479.35131 Miranville, Alain 24 2013 On the conserved phase-field model. Zbl 1308.35125 Miranville, Alain 21 2013 A Cahn-Hilliard-Gurtin model with dynamic boundary conditions. Zbl 1277.35202 Goldstein, Gisèle Ruiz; Miranville, Alain 16 2013 Attractors for a Caginalp model with a logarithmic potential and coupled dynamic boundary conditions. Zbl 1282.35080 Conti, Monica; Gatti, Stefania; Miranville, Alain 8 2013 ...and 114 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,212 Authors 125 Miranville, Alain M. 54 Grasselli, Maurizio 50 Colli, Pierluigi 50 Quintanilla de Latorre, Ramón 47 Zelik, Sergey V. 31 Gal, Ciprian Gheorghe Sorin 31 Gilardi, Gianni 28 Pata, Vittorino 26 Schimperna, Giulio 25 Sprekels, Jürgen 24 Conti, Monica C. 24 Gatti, Stefania 24 Wu, Hao 23 Rocca, Elisabetta 22 Cherfils, Laurence 21 Giorgini, Andrea 21 Scarpa, Luca 19 Fernández, Jose Ramon 19 Signori, Andrea 17 Sun, Chunyou 16 Temam, Roger Meyer 16 Yang, Zhijian 15 Fukao, Takeshi 13 Bonfoh, Ahmed S. 13 Chepyzhov, Vladimir V. 13 Ilyin, Aleksei A. 13 Moroşanu, Costică N. 13 Wang, Cheng 13 Zhong, Chengkui 12 Aouadi, Moncef 12 Lam, Kei Fong 12 Wise, Steven M. 12 Yang, Xinguang 12 Zhao, Xiaopeng 11 Bazarra, Noelia 11 Fakih, Hussein 11 Kloeden, Peter Eris 10 Garcke, Harald 10 Kalantarov, Varga K. 10 Kostianko, Anna 10 Ma, To Fu 9 Caraballo Garrido, Tomás 9 Liu, Chun 9 Magaña, Antonio 9 Makki, Ahmad 9 Maniar, Lahcen 9 Pierre, Morgan 9 Zhou, Shengfan 8 Efendiev, Messoud 8 Knopf, Patrik 8 Lasiecka, Irena 8 Liu, Changchun 8 Webster, Justin T. 7 Chen, Wenbin 7 Duan, Ning 7 Freitas, Mirelson M. 7 Marchini, Elsa Maria 7 Marinoschi, Gabriela 7 Ntsokongo, Armel Judice 7 Poiatti, Andrea 7 Pražák, Dalibor 7 Rossi, Riccarda 7 Tachim Medjo, Theodore 7 Verani, Marco 7 Xie, Yongqin 7 Yang, Meihua 7 You, Bo 6 Bonetti, Elena 6 Czaja, Radosław 6 Dell’Oro, Filippo 6 Goubet, Olivier 6 Li, Yanan 6 Li, Yongjun 6 Ma, Zhong-Xin 6 Nolasco de Carvalho, Alexandre 6 Petcu, Madalina 6 Planas, Gabriela 6 Qin, Yuming 6 Segatti, Antonio 6 Zhao, Jiacheng 5 Abdallah, Ahmed Y. 5 Baldonedo, Jacobo 5 Cantin, Guillaume 5 Cholewa, Jan W. 5 Chueshov, Igor’ Dmitrievich 5 Cui, Hongyong 5 Duan, Jinqiao 5 Guillevin, Rémy 5 Heinemann, Christian 5 Jorge da Silva, Marcio Antonio 5 Kraus, Christiane 5 Langa, Franck Davhys Reval 5 Langa, Jose’ Antonio 5 Li, Yinghua 5 Marín-Rubio, Pedro 5 Meng, Fengjuan 5 Moukoko, Daniel 5 Oukdach, Omar 5 Petzeltová, Hana 5 Ramos, Anderson J. 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