2 citations · 2 across the 4 of their papers we have counts for
4 papers
Diffusive relaxation limit of the multi-dimensional hyperbolic Jin-Xin system
Timothée Crin-Barat, Ling-Yun Shou
We study the diffusive relaxation limit of the Jin-Xin system toward viscous conservation laws in the multi-dimensional setting. For initial data being small perturbations of a con…
Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation
Roberta Bianchini, Timothée Crin-Barat, Marius Paicu
We prove the nonlinear asymptotic stability of stably stratified solutions to the Incompressible Porous Media equation (IPM) for initial perturbations in $\dot H^{1-τ}(\mathbb{R}^2…
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…
Partially dissipative hyperbolic systems in the critical regularity setting : The multi-dimensional case
Timothée Crin-Barat, Raphaël Danchin
We are concerned with quasilinear symmetrizable partially dissipative hyperbolic systems in the whole space with . Following our recent work [10] dedicated t…