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Backward Parabolicity, Cross-Diffusion and Turing Instability

Ayman Moussa , Benoît Perthame , Delphine Salort
Journal of Nonlinear Science, 2018, 29 (1), pp.139--162. ⟨10.1007/s00332-018-9480-z⟩
Journal articles hal-01626324v1
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Entropic structure and duality for multiple species cross-diffusion systems

Thomas Lepoutre , Ayman Moussa
Nonlinear Analysis: Theory, Methods and Applications, 2017, 159, ⟨10.1016/j.na.2017.02.008⟩
Journal articles hal-01373172v1

Some variants of the classical Aubin–Lions Lemma

Ayman Moussa
Journal of Evolution Equations, 2016, 16 (1), pp.65-93. ⟨10.1007/s00028-015-0293-3⟩
Journal articles hal-01300507v1

Existence theory for a kinetic-fluid coupling when small droplets are treated as part of the fluid

Saad Benjelloun , Laurent Desvillettes , Ayman Moussa
Journal of Hyperbolic Differential Equations, 2014
Journal articles hal-00805104v1

A 2d spray model with gyroscopic effects

Ayman Moussa , Franck Sueur
Asymptotic Analysis, 2013, 81 (1), pp.53-91. ⟨10.3233/ASY-2012-1123⟩
Journal articles hal-00713683v1
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Stability of a cross-diffusion system and approximation by repulsive random walks: a duality approach

Vincent Bansaye , Ayman Moussa , Felipe Muñoz-Hernández
2021
Preprints, Working Papers, ... hal-03344301v1
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Analytical examples of diffusive waves generated by a traveling wave

Harold Moundoyi , Ayman Moussa , Benoît Perthame , Benoît Sarels
Applicable Analysis, 2017, 96 (9), pp.1596-1615. ⟨10.1080/00036811.2017.1314463⟩
Journal articles hal-01404972v1
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A RAINBOW INVERSE PROBLEM

Alexis Blasselle , Vincent Calvez , Ayman Moussa
ESAIM: Proceedings, 2010, 30, pp.142-152. ⟨10.1051/proc/2010011⟩
Journal articles hal-00518164v2

Aerosol deposition in a ventilator circuit: comparison between experimental results and numerical computations

Ayman Moussa , Thomas Duparque , Céline Grandmont , Michael Grasseau , Marc Thiriet et al.
17th International Congress International Society of Aerosols in Medicine Congress - ISAM, May 2009, Monterey, CA, USA, United States. pp.174
Conference papers hal-00844575v1

Numerical study of the stopping of aura during migraine

Guillemette Chapuisat , Florence Hubert , Ayman Moussa , Christina Pocci
ESAIM: Proceedings, 2010, 30, pp.44-52
Journal articles hal-00839301v1

Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system

Daniel Han-Kwan , Evelyne Miot , Ayman Moussa , Iván Moyano
Revista Math. Iberoamericana, 2020, 1 (36), pp.37-60. ⟨10.4171/RMI/1120⟩
Journal articles hal-01708231v1

On the effect of polydispersity and rotation on the Brinkman force induced by a cloud of particles on a viscous incompressible flow

Matthieu Hillairet , Ayman Moussa , Franck Sueur
Kinetic & Related Models, 2019, 12 (4), pp.681-701. ⟨10.3934/krm.2019026⟩
Journal articles hal-02483822v1
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Modelling and numerics for respiratory aerosols

Laurent Boudin , Céline Grandmont , Alexander Lorz , Ayman Moussa
Communications in Computational Physics, 2015, 18 (3), pp.723-756. ⟨10.4208/cicp.180714.200415a⟩
Journal articles hal-01044590v1

Global Classical Solutions Close to Equilibrium to the Vlasov Euler-Fokker-Planck System

Ayman Moussa , José Antonio Carrillo , Renjun Duan
Kinetic and Related Models , 2011, 4 (1), pp.227-258. ⟨10.3934/krm.2011.4.227⟩
Journal articles hal-00652339v1
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Global existence of solutions for the coupled Vlasov and Navier-Stokes equations

Laurent Boudin , Laurent Desvillettes , Céline Grandmont , Ayman Moussa
Differential and integral equations, 2009, 22 (11-12), pp.1247-1271
Journal articles hal-00331895v1
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Étude mathématique de modèles cinétiques, fluides et paraboliques issus de la biologie

Ayman Moussa
Mathématiques [math]. Sorbonne Université - Laboratoire Jacques-Louis Lions, 2018
Habilitation à diriger des recherches tel-02119758v1
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The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium

Thierry Goudon , Lingbing He , Ayman Moussa , Ping Zhang
SIAM Journal on Mathematical Analysis, 2010, 42 (5), ⟨10.1137/090776755⟩
Journal articles inria-00384364v1

Entropy, Duality and Cross Diffusion

Laurent Desvillettes , Thomas Lepoutre , Ayman Moussa
SIAM Journal on Mathematical Analysis, 2014, 46 (1), pp.820-853. ⟨10.1137/130908701⟩
Journal articles hal-00785379v1
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Étude mathématique et numérique du transport d'aérosols dans le poumon humain.

Ayman Moussa
Mathématiques [math]. École normale supérieure de Cachan - ENS Cachan, 2009. Français. ⟨NNT : ⟩
Theses tel-00463970v1

The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria

Ayman Moussa , Olivier Glass , Daniel Han-Kwan
Archive for Rational Mechanics and Analysis, 2018, 230 (2), pp.593-639. ⟨10.1007/s00205-018-1253-1⟩
Journal articles hal-01432966v1
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Global existence of weak solutions to the incompressible Vlasov-Navier-Stokes system coupled to convection-diffusion equations

Laurent Boudin , David Michel , Ayman Moussa
Mathematical Models and Methods in Applied Sciences, 2020, 30 (8), pp.1485-1515. ⟨10.1142/S0218202520500293⟩
Journal articles hal-02355316v2

Large time behavior of the Vlasov-Navier-Stokes system on the torus

Daniel Han-Kwan , Ayman Moussa , Iván Moyano
Archive for Rational Mechanics and Analysis, 2020, 236 (3), pp.1273-1323. ⟨10.1007/s00205-020-01491-w⟩
Journal articles hal-02346723v1
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A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs

Boris Andreianov , Clément Cancès , Ayman Moussa
Journal of Functional Analysis, 2017, 273 (12), pp.3633-3670. ⟨10.1016/j.jfa.2017.08.010⟩
Journal articles hal-01142499v1
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On the entropic structure of reaction-cross diffusion systems

L Desvillettes , Th Lepoutre , Ayman Moussa , A Trescases
Communications in Partial Differential Equations, 2015, ⟨10.1080/03605302.2014.998837⟩
Journal articles hal-01078175v1
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Concentration versus absorption for the Vlasov-Navier-Stokes system on bounded domains

Lucas Ertzbischoff , Daniel Han-Kwan , Ayman Moussa
Nonlinearity, 2021, 34 (10), pp.6843. ⟨10.1088/1361-6544/ac1558⟩
Journal articles hal-03111709v1
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Global existence of solutions to the incompressible Navier-Stokes-Vlasov equations in a time-dependent domain

Laurent Boudin , Céline Grandmont , Ayman Moussa
Journal of Differential Equations, 2017, 262 (3), pp.1317-1340. ⟨10.1016/j.jde.2016.10.012⟩
Journal articles hal-01312262v1