arXiv subjects

A Moussa

Publications and source records attributed to A Moussa.

2 recordsLinked to original sources

arXiv2025

On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System

We study the problem of uniqueness of Leray solutions to the three-dimensional Vlasov-Navier-Stokes system. We establish uniqueness whenever the fluid velocity field belongs to the Cannone-Meyer-Planchon class, which allows to go beyond the Osgood uniqueness class. A stability estimate in this setting is also provided.

math.AP↗

arXiv2024

Perturbative global solutions of a large class of cross diffusion systems in any dimension

This article focuses on a large family of cross-diffusion systems of the form $\partial$ t U-$\Delta$A(U) = 0, in dimension d $\in$ N * , and where U $\in$ R 2. We show that under natural conditions on the nonlinearity A, those systems have a unique smooth (nonnegative for all components) solution when the initial data are small enough in a suitable norm.

math.AP↗