Timothée Crin-Barat

1. Partially dissipative hyperbolic systems in the critical regularity setting : The multi-dimensional case
   2021/05/18 by Timothée Crin-Barat, Raphaël Danchin, Crin-Barat, Timothée +1 · 5 citations
   Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
2. The hyperbolic-parabolic chemotaxis system for vasculogenesis: global dynamics and relaxation limit toward a Keller-Segel model
   2022/01/17 by Timothée Crin-Barat, Crin-Barat, Timothée, Qingyou He +3 · 2 citations
   Mathematics · #Mathematical Biology Tumor Growth
3. Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the L^p framework
   2023/11/07 by Timothée Crin-Barat, Crin-Barat, Timothée, Ling-Yun Shou +2 · 2 citations
   Mathematics · Physics and Astronomy · #35K55 #35L40 #35L45 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #Navier-Stokes equation solutions
4. Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation
   2022/10/05 by Roberta Bianchini, Bianchini, Roberta, Timothée Crin-Barat +3 · 1 citation
   Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
5. Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system
   2023/08/16 by Timothée Crin-Barat, Crin-Barat, Timothée, Ling-Yun Shou +3 · 1 citation
   Engineering · Mathematics · #35Q35 #76N10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
6. Global existence for partially dissipative hyperbolic systems in the Lp framework, and relaxation limit
   2022/01/18 by Timothée Crin-Barat, Raphaël Danchin, Crin-Barat, Timothée +1 · 1 citation
   Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
7. On the decay estimates of a nonlocal convection-diffusion Hamer system
   2026/07/29 by Timothée Crin-Barat, Belkacem Said-Houari
   Mathematics · #math.AP