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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…
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…
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…
Global existence for partially dissipative hyperbolic systems in the Lp framework, and relaxation limit
Timothée Crin-Barat, Raphaël Danchin
Here we investigate global strong solutions for a class of partially dissipative hyperbolic systems in the framework of critical homogeneous Besov spaces. Our primary goal is to ex…
Critical regularity issues for the compressible Navier--Stokes system in bounded domains
Raphaël Danchin, Patrick Tolksdorf
We are concerned with the barotropic compressible Navier-Stokes system in a bounded domain of (with ). In a critical regularity setting, we establish local w…