3 papers
math.AP2026
High viscosity limit for the multi-dimensional compressible Navier-Stokes equations
Raphaël Danchin
We investigate the high viscosity limit (also called inertial limit) of the barotropic compressible Navier-Stokes equations supplemented with initial data which are perturbations o…
math.AP2025
Global existence for multi-dimensional partially diffusive systems
Jean-Paul Adogbo, Raphäel Danchin
In this work, we explore the global existence of strong solutions for a class of partially diffusive hyperbolic systems within the framework of critical homogeneous Besov spaces. O…
math.AP2024
Local well-posedness in the critical regularity setting for hyperbolic systems with partial diffusion
Jean-Paul Adogbo, Raphäel Danchin
This paper is dedicated to the local existence theory of the Cauchy problem for a general class of symmetrizable hyperbolic partially diffusive systems (also called hyperbolic-para…