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20022026
most citedThe Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials

97 citations

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math.AP2025

Global well-posedness of a 2D fluid-structure interaction problem with free surface

Thomas Alazard, Chengyang Shao, Haocheng Yang

This paper is devoted to the analysis of the incompressible Euler equation in a time-dependent fluid domain, whose interface evolution is governed by the law of linear elasticity.…

math.AP2025

The Navier-Stokes limit of kinetic equations for low regularity data

Kleber Carrapatoso, Isabelle Gallagher, Isabelle Tristani

In this paper, we investigate the link between kinetic equations (including Boltzmann with or without cutoff assumption and Landau equations) and the incompressible Navier-Stokes e…

math.AP2025★ 1 cited

Semi-classical limit of the massive Klein-Gordon-Maxwell system toward the relativistic Euler-Maxwell system via an adapted modulated energy method

Tony Salvi

We show that the momentum, the density, and the electromagnetic field associated with the massive KleinGordon-Maxwell equations converge in the semi-classical limit towards their r…