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math.AP2026

Generalized Morrey-Campanato estimates for elliptic equations with coefficients of integrable oscillation

Laurent Seppecher

This work concerns regularity properties of weak solutions to elliptic equations in divergence form -div(au) = div F , under low regularity assumptions on both the coeffici…

math.AP2026

Convergence rates for a rotating MHD system with evanescent viscosity

Frédéric Charve, Zhuoya Yao

In this article, we focus on a MHD model that takes into account the Coriolis force. In this case, the strength of the rotation is measured by the Rossby number (positive). Un…

math.AP2026

Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model

Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert

The dynamics of two-phase flows out of mechanical and thermal equilibrium are described by a partially dissipative first-order quasilinear system with stiff interaction terms assoc…

math.AP2026

Vanishing conductivity limit for the 1D compressible Navier-Stokes system

Pierre Gonin--Joubert

The present article studies solutions to the compressible Navier-Stokes equations for ideal gases in one dimension when thermal conductivity is present but very weak, while viscosi…

math.AP2026

Global in time justification of a two-phase averaged system for heat-conducting ideal gases

Pierre Gonin--Joubert

In this article, we mathematically justify (globally in time) a Baer-Nunziato type system from the non-isentropic compressible Navier-Sokes equations for heat conducting ideal gase…