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## Hillairet, Matthieu

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 Author ID: hillairet.matthieu Published as: Hillairet, M.; Hillairet, Matthieu External Links: MGP · Wikidata
 Documents Indexed: 39 Publications since 2003
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#### Co-Authors

 8 single-authored 5 Gérard-Varet, David 4 Escher, Joachim 4 Laurençot, Philippe 4 Walker, Christoph 4 Wittwer, Peter 2 Bresch, Didier 2 Carrapatoso, Kleber 2 Grandmont, Céline 2 Takahashi, Takéo 1 Carles, Rémi 1 Ervedoza, Sylvain 1 Feireisl, Eduard 1 Kelaï, Takfarinas 1 Lacave, Christophe 1 Lequeurre, Julien 1 Lozinski, Alexei 1 Mecherbet, Amina 1 Moussa, Ayman 1 Nečasová, Šárka 1 Raphael, Pierre 1 Seck, Diaraf 1 Serre, Denis 1 Sokhna, Lamine 1 Sueur, Franck 1 Szopos, Marcela 1 Wang, Chao 1 Wu, Di
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#### Serials

 5 Archive for Rational Mechanics and Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Mathematical Physics 2 Nonlinearity 2 Asymptotic Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Communications on Pure and Applied Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Physica D 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Fluid Mechanics 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Journal of the Institute of Mathematics of Jussieu 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Kinetic and Related Models 1 Analysis & PDE 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Annales Henri Lebesgue
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#### Fields

 37 Partial differential equations (35-XX) 33 Fluid mechanics (76-XX) 10 Mechanics of deformable solids (74-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

32 Publications have been cited 278 times in 154 Documents Cited by Year
Lack of collision between solid bodies in a 2D incompressible viscous flow. Zbl 1221.35279
Hillairet, M.
2007
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207
Hillairet, Matthieu; Raphaël, Pierre
2012
Collisions in three-dimensional fluid structure interaction problems. Zbl 1178.35291
Hillairet, Matthieu; Takahashi, Takéo
2009
Regularity issues in the problem of fluid-structure interaction. Zbl 1192.35131
Gérard-Varet, David; Hillairet, Matthieu
2010
Existence of weak solutions up to collision for viscous fluid-solid systems with slip. Zbl 1307.35193
Gérard-Varet, David; Hillairet, Matthieu
2014
Existence of global strong solutions to a beam-fluid interaction system. Zbl 1334.35232
Grandmont, Céline; Hillairet, Matthieu
2016
On the motion of several rigid bodies in an incompressible non-Newtonian fluid. Zbl 1166.35362
Feireisl, Eduard; Hillairet, Matthieu; Nečasová, Šárka
2008
The influence of boundary conditions on the contact problem in a 3D Navier-Stokes flow. Zbl 1307.35221
Gérard-Varet, David; Hillairet, Matthieu; Wang, Chao
2015
On the existence of solutions to the planar exterior Navier Stokes system. Zbl 1325.35142
Hillairet, Matthieu; Wittwer, Peter
2013
Thin film equations with soluble surfactant and gravity: modeling and stability of steady states. Zbl 1323.76010
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2012
Chute stationnaire d’un solide dans un fluide visqueux incompressible le long d’un plan incliné. (Free steady fall of a solid in a fluid, along a ramp). Zbl 1044.35053
Hillairet, M.; Serre, D.
2003
Existence of stationary solutions of the Navier-Stokes equations in two dimensions in the presence of a wall. Zbl 1239.76023
Hillairet, Matthieu; Wittwer, Peter
2009
Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant. Zbl 1261.35071
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Cristoph
2011
On the homogenization of the Stokes problem in a perforated domain. Zbl 1432.35018
Hillairet, M.
2018
Computation of the drag force on a sphere close to a wall. The roughness issue. Zbl 1267.76020
Gérard-Varet, David; Hillairet, Matthieu
2012
Asymptotic description of solutions of the planar exterior Navier-Stokes problem in a half-space. Zbl 1283.76017
Hillairet, Matthieu; Wittwer, Peter
2012
Blow up and grazing collision in viscous fluid solid interaction systems. Zbl 1187.35290
Hillairet, Matthieu; Takahashi, Takéo
2010
Long-time behavior for the two-dimensional motion of a disk in a viscous fluid. Zbl 1300.35071
Ervedoza, S.; Hillairet, M.; Lacave, C.
2014
Weak solutions to a thin film model with capillary effects and insoluble surfactant. Zbl 1387.76009
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2012
Asymptotic collisions between solid particles in a Burgers-Hopf fluid. Zbl 1108.35013
Hillairet, M.
2005
On the effect of polydispersity and rotation on the Brinkman force induced by a cloud of particles on a viscous incompressible flow. Zbl 1420.35240
Hillairet, Matthieu; Moussa, Ayman; Sueur, Franck
2019
Existence of local strong solutions to fluid-beam and fluid-rod interaction systems. Zbl 1428.35291
Grandmont, Céline; Hillairet, Matthieu; Lequeurre, Julien
2019
Propagation of density-oscillations in solutions to the barotropic compressible Navier-Stokes system. Zbl 1220.35118
Hillairet, M.
2007
Effective viscosity of a polydispersed suspension. Zbl 1441.35197
Hillairet, Matthieu; Wu, Di
2020
Justification of lubrication approximation: an application to fluid/solid interactions. Zbl 1333.35195
Hillairet, M.; Kelaï, T.
2015
Traveling waves for a thin film with gravity and insoluble surfactant. Zbl 1330.35063
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2015
$$L^p$$ estimates for the homogenization of Stokes problem in a perforated domain. Zbl 1427.76055
Mecherbet, Amina; Hillairet, Matthieu
2020
Rigidity results in generalized isothermal fluids. Zbl 1428.35348
Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu
2018
Note on the derivation of multi-component flow systems. Zbl 1331.35257
Bresch, D.; Hillairet, M.
2015
On discretization in time in simulations of particulate flows. Zbl 1419.76479
Hillairet, Matthieu; Lozinski, Alexei; Szopos, Marcela
2011
On the vorticity of the Oseen problem in a half plane. Zbl 1143.76423
Hillairet, Matthieu; Wittwer, Peter
2008
Steady fall of a solid in an incompressible viscous fluid along a ramp. II. Zbl 1229.35183
Hillairet, M.
2007
Effective viscosity of a polydispersed suspension. Zbl 1441.35197
Hillairet, Matthieu; Wu, Di
2020
$$L^p$$ estimates for the homogenization of Stokes problem in a perforated domain. Zbl 1427.76055
Mecherbet, Amina; Hillairet, Matthieu
2020
On the effect of polydispersity and rotation on the Brinkman force induced by a cloud of particles on a viscous incompressible flow. Zbl 1420.35240
Hillairet, Matthieu; Moussa, Ayman; Sueur, Franck
2019
Existence of local strong solutions to fluid-beam and fluid-rod interaction systems. Zbl 1428.35291
Grandmont, Céline; Hillairet, Matthieu; Lequeurre, Julien
2019
On the homogenization of the Stokes problem in a perforated domain. Zbl 1432.35018
Hillairet, M.
2018
Rigidity results in generalized isothermal fluids. Zbl 1428.35348
Carles, Rémi; Carrapatoso, Kleber; Hillairet, Matthieu
2018
Existence of global strong solutions to a beam-fluid interaction system. Zbl 1334.35232
Grandmont, Céline; Hillairet, Matthieu
2016
The influence of boundary conditions on the contact problem in a 3D Navier-Stokes flow. Zbl 1307.35221
Gérard-Varet, David; Hillairet, Matthieu; Wang, Chao
2015
Justification of lubrication approximation: an application to fluid/solid interactions. Zbl 1333.35195
Hillairet, M.; Kelaï, T.
2015
Traveling waves for a thin film with gravity and insoluble surfactant. Zbl 1330.35063
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2015
Note on the derivation of multi-component flow systems. Zbl 1331.35257
Bresch, D.; Hillairet, M.
2015
Existence of weak solutions up to collision for viscous fluid-solid systems with slip. Zbl 1307.35193
Gérard-Varet, David; Hillairet, Matthieu
2014
Long-time behavior for the two-dimensional motion of a disk in a viscous fluid. Zbl 1300.35071
Ervedoza, S.; Hillairet, M.; Lacave, C.
2014
On the existence of solutions to the planar exterior Navier Stokes system. Zbl 1325.35142
Hillairet, Matthieu; Wittwer, Peter
2013
Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation. Zbl 1329.35207
Hillairet, Matthieu; Raphaël, Pierre
2012
Thin film equations with soluble surfactant and gravity: modeling and stability of steady states. Zbl 1323.76010
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2012
Computation of the drag force on a sphere close to a wall. The roughness issue. Zbl 1267.76020
Gérard-Varet, David; Hillairet, Matthieu
2012
Asymptotic description of solutions of the planar exterior Navier-Stokes problem in a half-space. Zbl 1283.76017
Hillairet, Matthieu; Wittwer, Peter
2012
Weak solutions to a thin film model with capillary effects and insoluble surfactant. Zbl 1387.76009
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Christoph
2012
Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant. Zbl 1261.35071
Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe; Walker, Cristoph
2011
On discretization in time in simulations of particulate flows. Zbl 1419.76479
Hillairet, Matthieu; Lozinski, Alexei; Szopos, Marcela
2011
Regularity issues in the problem of fluid-structure interaction. Zbl 1192.35131
Gérard-Varet, David; Hillairet, Matthieu
2010
Blow up and grazing collision in viscous fluid solid interaction systems. Zbl 1187.35290
Hillairet, Matthieu; Takahashi, Takéo
2010
Collisions in three-dimensional fluid structure interaction problems. Zbl 1178.35291
Hillairet, Matthieu; Takahashi, Takéo
2009
Existence of stationary solutions of the Navier-Stokes equations in two dimensions in the presence of a wall. Zbl 1239.76023
Hillairet, Matthieu; Wittwer, Peter
2009
On the motion of several rigid bodies in an incompressible non-Newtonian fluid. Zbl 1166.35362
Feireisl, Eduard; Hillairet, Matthieu; Nečasová, Šárka
2008
On the vorticity of the Oseen problem in a half plane. Zbl 1143.76423
Hillairet, Matthieu; Wittwer, Peter
2008
Lack of collision between solid bodies in a 2D incompressible viscous flow. Zbl 1221.35279
Hillairet, M.
2007
Propagation of density-oscillations in solutions to the barotropic compressible Navier-Stokes system. Zbl 1220.35118
Hillairet, M.
2007
Steady fall of a solid in an incompressible viscous fluid along a ramp. II. Zbl 1229.35183
Hillairet, M.
2007
Asymptotic collisions between solid particles in a Burgers-Hopf fluid. Zbl 1108.35013
Hillairet, M.
2005
Chute stationnaire d’un solide dans un fluide visqueux incompressible le long d’un plan incliné. (Free steady fall of a solid in a fluid, along a ramp). Zbl 1044.35053
Hillairet, M.; Serre, D.
2003
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#### Cited by 201 Authors

 17 Hillairet, Matthieu 11 Takahashi, Takéo 10 Wittwer, Peter 9 Muha, Boris 8 Nečasová, Šárka 6 Escher, Joachim 6 Merle, Frank 5 Čanić, Sunčica 5 Donninger, Roland 5 Gérard-Varet, David 5 Guillod, Julien 4 Chemetov, Nikolai V. 4 Duyckaerts, Thomas 4 Kenig, Carlos Eduardo 4 Krieger, Joachim 4 Matioc, Bogdan-Vasile 4 San Martín, Jorge Alonso 4 Schlag, Wilhelm 4 Sueur, Franck 3 Aguillon, Nina 3 Bresch, Didier 3 Bruell, Gabriele 3 Collot, Charles 3 Feireisl, Eduard 3 Ghoul, Tej-Eddine 3 Guo, Zhengguang 3 Jendrej, Jacek 3 Martel, Yvan 3 Nguyen, Van Tien 3 Raphael, Pierre 3 Zhou, Yong 2 Bălilescu, Loredana 2 Boulakia, Muriel 2 Bravin, Marco 2 Chugunova, Marina A. 2 Coutand, Daniel 2 Disser, Karoline 2 Galić, Marija 2 Grandmont, Céline 2 Guerrero, Sergio 2 He, Qiaolin 2 Hieber, Matthias 2 Ibrahim, Slim 2 Korobkov, Mikhail V. 2 Lagoutière, Frédéric 2 Laurençot, Philippe 2 Maekawa, Yasunori 2 Munnier, Alexandre 2 Nakanishi, Kenji 2 Pileckas, Konstantin 2 Raymond, Jean-Pierre 2 Russo, Remigio 2 Schörkhuber, Birgit 2 Seguin, Nicolas 2 Shi, Xiaoding 2 Starovoitov, Victor Nikolayevich 2 Tan, Zhong 2 Tucsnak, Marius 2 Tutek, Zvonimir 2 Zaag, Hatem 1 Al Baba, Hind 1 Antonelli, Paolo 1 Arruda, Lynnyngs Kelly 1 Astorino, Matteo 1 Badra, Mehdi 1 Bernard, Étienne 1 Bi, Chao 1 Boeckle, Christoph 1 Bonheure, Denis 1 Bonnivard, Matthieu 1 Bruneau, Charles-Henri 1 Bucur, Dorin 1 Bukač, Martina 1 Burman, Erik 1 Carrapatoso, Kleber 1 Casanova, Jean-Jérôme 1 Chen, Yazhou 1 Ciuperca, Ionel Sorin 1 Conn, J. J. A. 1 Côte, Raphaël 1 Ćurković, Andrijana 1 Decoene, Astrid 1 Delay, Guillaume 1 Desvillettes, Laurent 1 Djebour, Imene Aicha 1 Duffy, Brian Reginald 1 Fabrèges, Benoît 1 Farah, Luiz Gustavo 1 Fernández, Miguel Ángel 1 Fournié, Michel 1 Frei, Stefan 1 Gao, Hongjun 1 Gazzola, Filippo 1 Geissert, Matthias 1 Gerbeau, Jean-Frédéric 1 Giraldi, Laetitia 1 Giunti, Arianna 1 Glass, Olivier 1 Golse, François 1 Granero Belinchón, Rafael ...and 101 more Authors
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#### Cited in 70 Serials

 14 Archive for Rational Mechanics and Analysis 10 Journal of Differential Equations 8 Communications in Mathematical Physics 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 SIAM Journal on Mathematical Analysis 7 Journal of Mathematical Fluid Mechanics 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Functional Analysis 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Séminaire Laurent Schwartz. EDP et Applications 3 Mathematical Methods in the Applied Sciences 3 Advances in Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Analysis & PDE 2 Applicable Analysis 2 Journal of Engineering Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Nonlinear Analysis. Real World Applications 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Kinetic and Related Models 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Nonlinearity 1 Wave Motion 1 Mathematics of Computation 1 Acta Mathematica 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Geometric and Functional Analysis. GAFA 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topological Methods in Nonlinear Analysis 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Revista Matemática Complutense 1 Annales Henri Poincaré 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Advances in Pure and Applied Mathematics 1 Evolution Equations and Control Theory
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#### Cited in 17 Fields

 143 Partial differential equations (35-XX) 112 Fluid mechanics (76-XX) 46 Mechanics of deformable solids (74-XX) 6 Biology and other natural sciences (92-XX) 4 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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