From the 1 of 9 linked papers with an AI index.
9 papers
On the decay estimates of a nonlocal convection-diffusion Hamer system
Timothée Crin-Barat, Belkacem Said-Houari
The paper proves global well‑posedness and optimal time‑decay rates for the multi‑dimensional Hamer model of radiating gases, using hybrid Besov space techniques and relaxing previ…
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…
The compressible Euler system with damping in hybrid Besov spaces: global well-posedness and relaxation limit
Timothée Crin-Barat, Zihao Song
We investigate the global well-posedness of the compressible Euler system with damping in Rd (d\geq1) and its relaxation limit toward the porous medium equation. In [12], the first…
On the relaxation towards mechanical equilibrium for two-pressure compressible flows
Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert
We introduce a symmetrization of a one-velocity two-pressures Baer-Nunziato type model for mixtures of barotropic compressible fluids. It allows us to justify the zero compaction v…
Compressible Euler equations with time-dependent damping in the critical regularity setting: global well-posedness and strong relaxation limit
Timothée Crin-Barat, Xinghong Pan, Ling-Yun Shou +1
We investigate the relaxation problem and the diffusion phenomenon for the compressible Euler system with a time-dependent damping coefficient of the form in $…
Global convergence rates in the relaxation limits for the compressible Euler and Euler-Maxwell systems in Sobolev spaces
Timothée Crin-Barat, Yue-Jun Peng, Ling-Yun Shou
We study two relaxation problems in the class of partially dissipative hyperbolic systems: the compressible Euler system and the compressible Euler-Maxwell system. In classical Sob…