86 citations · 94 across the 11 of their papers we have counts for
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Constrained hydrodynamic flocking models in the limit of large attraction-repulsion interactions
Thierry Goudon, Antoine Mellet
We study the collective dynamics of a population of particles/organisms subject to self-consistent attraction-repulsion interactions and an external velocity field. The starting po…
Fitting parameters of a Fokker-Planck-like equation with constraint
Kevin Atsou, Thierry Goudon, Pierre-Emmanuel Jabin
We analyse a Fokker-Planck like equation, driven by a scalar parameter in order to reach an integral constraint. We exhibit criteria guaranteeing existence-uniqueness of a solution…
Shock profiles for hydrodynamic models for fluid-particles flows in the flowing regime
Thierry Goudon, Pauline Lafitte, Corrado Mascia
Starting from coupled fluid-kinetic equations for the modeling of laden flows, we derive relevant viscous corrections to be added to asymptotic hydrodynamic systems, by means of Ch…
Plane wave stability analysis of Hartree and quantum dissipative systems
Thierry Goudon, Simona Rota Nodari
We investigate the stability of plane wave solutions of equations describing quantum particles interacting with a complex environment. The models take the form of PDE systems with…
Solutions of the 4-species quadratic reaction-diffusion system are bounded and , in any space dimension
Cristina Caputo, Thierry Goudon, Alexis Vasseur
We establish the boundedness of solutions of reaction-diffusion systems with quadratic (in fact slightly super-quadratic) reaction terms that satisfy a natural entropy dissipation…
Two-dimensional pseudo-gravity model
Julien Barré, Dan Crisan, Thierry Goudon
We analyze a simple macroscopic model describing the evolution of a cloud of particles confined in a magneto-optical trap. The behavior of the particles is mainly driven by self--c…