Partially dissipative hyperbolic systems in the critical regularity setting: the multi-dimensional case T Crin-Barat, R Danchin Journal de Mathématiques Pures et Appliquées 165, 1-41, 2022 | 35 | 2022 |
Global existence for partially dissipative hyperbolic systems in the L p framework, and relaxation limit T Crin-Barat, R Danchin Mathematische Annalen 386 (3), 2159-2206, 2023 | 28 | 2023 |
Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications T Crin-Barat, R Danchin Pure and Applied Analysis 4 (1), 85-125, 2022 | 25 | 2022 |
Relaxation limit for a damped one-velocity Baer-Nunziato model to a Kappila model B Cosmin, CB Timothée, T Jin arXiv preprint arXiv:2109.07746, 2021 | 12* | 2021 |
Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation R Bianchini, T Crin-Barat, M Paicu Archive for Rational Mechanics and Analysis 248 (1), 2, 2024 | 9 | 2024 |
Diffusive relaxation limit of the multi-dimensional Jin-Xin system T Crin-Barat, LY Shou Journal of Differential Equations 357, 302-331, 2023 | 7 | 2023 |
The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model T Crin-Barat, Q He, LY Shou SIAM Journal on Mathematical Analysis 55 (5), 4445-4492, 2023 | 6 | 2023 |
The hyperbolic-parabolic chemotaxis system modelling vasculogenesis: global dynamics and relaxation limit T Crin-Barat, Q He, LY Shou arXiv preprint arXiv:2201.06512, 2022 | 6 | 2022 |
Partially dissipative hyperbolic systems and applications to fluid mechanics T Crin-Barat PhD thesis, Université Paris-Est Créteil, 2021 | 6 | 2021 |
Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications, Pure Appl T Crin-Barat, R Danchin Anal 4 (1), 85-125, 2022 | 5 | 2022 |
Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system T Crin-Barat, LY Shou, E Zuazua arXiv preprint arXiv:2308.08280, 2023 | 3 | 2023 |
Systèmes hyperboliques partiellement dissipatifs et applications à la mécanique des fluides T Crin-Barat Université Paris-Est, 2021 | 3 | 2021 |
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the framework T Crin-Barat, LY Shou, J Zhang arXiv preprint arXiv:2311.04105, 2023 | 1 | 2023 |
On the overdamping phenomenon for compressible multi-fluid systems with rough coefficients T Crin-Barat, LY Shou, J Tan arXiv preprint arXiv:2211.08781, 2022 | 1 | 2022 |
Relative Energy Method For Weak-Strong Uniqueness Of The Inhomogeneous Navier-Stokes Equations T Crin-Barat, S Škondrić, A Violini arXiv preprint arXiv:2404.12858, 2024 | | 2024 |
The Cattaneo-Christov approximation of Fourier heat-conductive compressible fluids T Crin-Barat, S Kawashima, J Xu arXiv preprint arXiv:2404.07809, 2024 | | 2024 |
Asymptotic-preserving finite difference method for partially dissipative hyperbolic systems T Crin-Barat, D Manea arXiv preprint arXiv:2404.06380, 2024 | | 2024 |
Diffusive relaxation limit of the multi-dimensional hyperbolic Jin-Xin system T Crin-Barat, LY Shou arXiv preprint arXiv:2211.10663, 2022 | | 2022 |
Quantitative derivation of a two-phase porous media system from the one-velocity Baer-Nunziato and Kapila systems T Crin-Barat, LY Shou, J Tan arXiv preprint arXiv:2211.08781, 2022 | | 2022 |
On the decay of one-dimensional locally and partially dissipated hyperbolic systems T Crin-Barat, N De Nitti, E Zuazua arXiv preprint arXiv:2206.00555, 2022 | | 2022 |