2 citations · 2 across the 12 of their papers we have counts for
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Long-time dynamics of partially dissipative hyperbolic systems with non-autonomous coefficients
Timothée Crin-Barat, Ling-Yun Shou, Qimeng Zhu
We study quasilinear symmetrizable partially dissipative hyperbolic systems with non-autonomous relaxation coefficients in (). The existence of global strong…
On the decay estimates of a nonlocal convection-diffusion Hamer system
Timothée Crin-Barat, Belkacem Said-Houari
We consider the multi-dimensional Hamer model for radiating gases in its coupled hyperbolic--elliptic formulation. By means of energy estimates, we establish the global well-posedn…
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 $\m…