Raphaël Danchin

most citedGlobal existence for partially dissipative hyperbolic systems in the Lp framework, and relaxation limit

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2022★ 2 cited

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…

math.AP2022

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 $R^{d}$ (with $d \geq 2$ ). In a critical regularity setting, we establish local w…