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86 papers · 1 filter
Asymptotic structure of cosmological fluid flows in one and two space dimensions: a numerical study
Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch
We consider an isothermal compressible fluid evolving on a cosmological background which may be either expanding or contracting toward the future. The Euler equations governing suc…
Compensated compactness and corrector stress tensor for the Einstein equations in T2 symmetry
Bruno Le Floch, Philippe G. LeFloch
We consider the Einstein equations in T2 symmetry, either for vacuum spacetimes or coupled to the Euler equations for a compressible fluid, and we introduce the notion of T2 areal…
Hypocoercivité , inégalité de concentration, temps d'atteinte et fonctions de Lyapunov
Pierre Monmarché
We establish that, for a Markov semi-group, hypocoercivity, i.e. contractivity for a modified norm, implies quantitative deviation bounds for additive functionals of th…
The Random Batch Method for -Body Quantum Dynamics
François Golse, Shi Jin, Thierry Paul
This paper discusses a numerical method for computing the evolution of large interacting system of quantum particles. The idea of the random batch method is to replace the total in…
Mean-Field and Classical Limit for the N-Body Quantum Dynamics with Coulomb Interaction
François Golse, Thierry Paul
This paper proves the validity of the joint mean-field and classical limit of the quantum -body dynamics leading to the pressureless Euler-Poisson system for factorized initial…
On an existence theory for a fluid-beam problem encompassing possible contacts
Jean-Jérôme Casanova, Céline Grandmont, Matthieu Hillairet
In this paper we consider a coupled system of pdes modelling the interaction between a two--dimensional incompressible viscous fluid and a one--dimensional elastic beam located on…