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On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres

Kleber Carrapatoso , Matthieu Hillairet
Communications in Mathematical Physics, 2020, 373 (1), pp.265-325. ⟨10.1007/s00220-019-03637-8⟩
Article dans une revue hal-01779091v2

Topics in the Mathematical Theory of Interactions of Incompressible Viscous Fluid with Rigid Bodies

Matthieu Hillairet
Tomáš Bodnár; Giovanni P. Galdi; Šárka Nečasová. Fluid-Structure Interaction and Biomedical Applications, Birkhäuser, pp.257-320, 2014, Advances in Mathematical Fluid Mechanics, 978-3-0348-0821-7. ⟨10.1007/978-3-0348-0822-4⟩
Chapitre d'ouvrage hal-01961111v1
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Existence of global strong solutions to a beam-fluid interaction system

Céline Grandmont , Matthieu Hillairet
Archive for Rational Mechanics and Analysis, 2016, 3, pp.1283-1333. ⟨10.1007/s00205-015-0954-y⟩
Article dans une revue hal-01138736v1
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Lp estimates for the homogenization of stokes problem in a perforated domain

Amina Mecherbet , Matthieu Hillairet
Journal of the Institute of Mathematics of Jussieu, 2018, 17 (2), pp.425-440. ⟨10.1017/S1474748016000062⟩
Article dans une revue hal-01398706v1

On the vorticity of the Oseen problem in a half plane

Matthieu Hillairet , Peter Wittwer
Physica D: Nonlinear Phenomena, 2008, 237 (10-12), pp.1388-1421. ⟨10.1016/j.physd.2008.03.006⟩
Article dans une revue istex hal-00635210v1
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On the existence of solutions to the planar exterior Navier Stokes system

Matthieu Hillairet , Peter Wittwer
Journal of Differential Equations, 2013, 255 (10), pp.2996-3019
Article dans une revue hal-00718393v1
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On the homogenization of the Stokes problem in a perforated domain

Matthieu Hillairet
Archive for Rational Mechanics and Analysis, 2018, 230 (3), pp.1179-1228. ⟨10.1007/s00205-018-1268-7⟩
Article dans une revue hal-01302560v4

Long-time behavior for the two-dimensional motion of a disk in a viscous fluid

Sylvain Ervedoza , Matthieu Hillairet , Christophe Lacave
Communications in Mathematical Physics, 2014, 329 (1), pp.325-382. ⟨10.1007/s00220-014-1884-5⟩
Article dans une revue hal-00778849v1
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Smooth type II blow up solutions to the four dimensional energy critical wave equation

Matthieu Hillairet , Pierre Raphaël
Analysis & PDE, 2012, 5 (4), pp.777-829. ⟨10.2140/apde.2012.5.777⟩
Article dans une revue hal-00524838v1
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Existence of weak solutions up to collision for viscous fluid-solid systems with slip

David Gérard-Varet , Matthieu Hillairet
Communications on Pure and Applied Mathematics, 2014, 67 (12), pp.2022-2075
Article dans une revue hal-00713331v2
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Asymptotic description of solutions of the exterior Navier Stokes problem in a half space

Matthieu Hillairet , Peter Wittwer
Archive for Rational Mechanics and Analysis, 2012, 205 (2), pp.553-584. ⟨10.1007/s00205-012-0515-6⟩
Article dans une revue hal-00606267v1
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Existence of local strong solutions to fluid-beam and fluid-rod interaction systems

Céline Grandmont , Matthieu Hillairet , Julien Lequeurre
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2019, 36 (4), pp.1105-1149. ⟨10.1016/j.anihpc.2018.10.006⟩
Article dans une revue hal-01567661v1

Existence of stationary solutions of the Navier-Stokes equations in two dimensions in the presence of a wall

Matthieu Hillairet , Peter Wittwer
Journal of Evolution Equations, 2009, 9 (4), pp.675-706. ⟨10.1007/s00028-009-0029-3⟩
Article dans une revue istex hal-00628625v1
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Analysis of compressible bubbly flows. Part I: construction of a microscopic model

Matthieu Hillairet , Hélène Mathis , Nicolas Seguin
ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (5), pp.2835-2863. ⟨10.1051/m2an/2023045⟩
Article dans une revue hal-04211775v1
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Unbounded-energy solutions to the fluid+disk system and long-time behavior for large initial data

Guillaume Ferriere , Matthieu Hillairet
Comptes Rendus. Mathématique, 2023, Tome 361 (2023), pp. 453-485. ⟨10.5802/crmath.357⟩
Article dans une revue hal-03511566v2

On discretization in time in simulations of particulate flows

Matthieu Hillairet , Alexei Lozinski , Marcela Szopos
Discrete and Continuous Dynamical Systems - Series B, 2011, 15 (4), pp.935-956. ⟨10.3934/dcdsb.2011.15.935⟩
Article dans une revue hal-00631084v1
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Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model

Matthieu Hillairet , Hélène Mathis , Nicolas Seguin
ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (5), pp.2865-2906. ⟨10.1051/m2an/2023046⟩
Article dans une revue hal-04211778v1
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Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation

Rémi Carles , Kleber Carrapatoso , Matthieu Hillairet
Quarterly of Applied Mathematics, 2022, ⟨10.1090/qam/1618⟩
Article dans une revue hal-03142668v2

Note on the derivation of multi-component flow systems

Matthieu Hillairet , Didier Bresch
Proceedings of the American Mathematical Society, 2015, 143 (8), pp.3429-3443. ⟨10.1090/proc/12614⟩
Article dans une revue hal-01163897v1
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The influence of boundary conditions on the contact problem in a 3D Navier-Stokes Flow

David Gérard-Varet , Matthieu Hillairet , Chao Wang
Journal de Mathématiques Pures et Appliquées, 2015, 103 (1), pp.1--38
Article dans une revue hal-00795366v1
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Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant

Joachim Escher , Matthieu Hillairet , Philippe Laurencot , Christoph Walker
Indiana University Mathematics Journal, 2011, 60 (6), pp.1975--2019. ⟨10.1512/iumj.2011.60.4441⟩
Article dans une revue hal-00495919v1

On the homogenization of the Stokes equations in perforated domains with application to fluid/solid interaction problems

Matthieu Hillairet
Séminaire Laurent Schwartz - EDP et applications, 2016, (2016-2017) (Exposé no. 15), 15 p. ⟨10.5802/slsedp.102⟩
Article dans une revue hal-01961108v1

Regularity Issues in the Problem of Fluid Structure Interaction

David Gerard-Varet , Matthieu Hillairet
Archive for Rational Mechanics and Analysis, 2010, 195 (2), pp.375-407. ⟨10.1007/s00205-008-0202-9⟩
Article dans une revue hal-00630197v1
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Global weak solutions for quantum isothermal fluids

Rémi Carles , Kleber Carrapatoso , Matthieu Hillairet
Annales de l'Institut Fourier, 2022, 72 (6), pp.2241-2298. ⟨10.5802/aif.3489⟩
Article dans une revue hal-02116596v2

Analysis of the Viscosity of Dilute Suspensions Beyond Einstein’s Formula

David Gérard-Varet , Matthieu Hillairet
Archive for Rational Mechanics and Analysis, 2020, 238 (3), pp.1349-1411. ⟨10.1007/s00205-020-01567-7⟩
Article dans une revue hal-04528392v1
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Traveling waves for a thin film with gravity and insoluble surfactant

Joachim Escher , Matthieu Hillairet , Philippe Laurencot , Christoph Walker
SIAM Journal on Applied Dynamical Systems, 2015, 14 (4), pp.1991--2012. ⟨10.1137/140963613⟩
Article dans une revue hal-00931037v1
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Thin film equations with soluble surfactant and gravity : modeling and stability of steady states

Joachim Escher , Matthieu Hillairet , Philippe Laurençot , Christoph Walker
Mathematical News / Mathematische Nachrichten, 2012, 285 (2-3), pp.210-222. ⟨10.1002/mana.201010009⟩
Article dans une revue hal-00933559v1
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Collisions in 3D Fluid Structure interactions problems

Matthieu Hillairet , Takéo Takahashi
SIAM Journal on Mathematical Analysis, 2009, 40 (6), pp.2451-2477. ⟨10.1137/080716074⟩
Article dans une revue hal-00268987v1

A homogenized limit for the 2-dimensional Euler equations in a perforated domain

Matthieu Hillairet , Christophe Lacave , Di Wu
Analysis & PDE, 2022, 15 (5), pp.1131-1167. ⟨10.2140/apde.2022.15.1131⟩
Article dans une revue hal-02178658v1
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A compressible multifluid system with new physical relaxation terms

Didier Bresch , Matthieu Hillairet
Annales Scientifiques de l'École Normale Supérieure, 2019, 52 (2), pp.255-295. ⟨10.24033/asens.2387⟩
Article dans une revue hal-01262617v1