Timothée Crin-Barat Maître de Conférences à l'Institut de Mathématique de Toulouse

Publications

Article dans une revue (10)

Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system Timothée Crin-Barat,Ling-Yun Shou,Enrique Zuazua Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, In press Article dans une revue hal-04862742v1
Quantitative derivation of a two-phase porous media system from the one-velocity Baer-Nunziato and Kapila systems Timothée Crin-Barat,Ling-Yun Shou,Jin Tan Nonlinearity, 2024, 37 (7), pp.075002. ⟨10.1088/1361-6544/ad3f66⟩ Article dans une revue hal-04862724v1
RELATIVE ENERGY METHOD FOR WEAK-STRONG UNIQUENESS OF THE INHOMOGENEOUS NAVIER-STOKES EQUATIONS FAR FROM VACUUM Timothée Crin-Barat,Stefan Škondrić,Alessandro Violini Journal of Evolution Equations, 2024, 25 (1), pp.6. ⟨10.1007/s00028-024-01036-8⟩ Article dans une revue hal-04862718v1
Pressure-relaxation limit for a one-velocity Baer–Nunziato model to a Kapila model Cosmin Burtea,Timothée Crin-Barat,Jin Tan Mathematical Models and Methods in Applied Sciences, 2023, 33 (04), pp.687-753. ⟨10.1142/S0218202523500161⟩ Article dans une revue hal-04862784v1
Relaxation Approximation and Asymptotic Stability of Stratified Solutions to the IPM Equation Roberta Bianchini,Timothée Crin-Barat,Marius Paicu Archive for Rational Mechanics and Analysis, 2023, 248 (1), pp.2. ⟨10.1007/s00205-023-01945-x⟩ Article dans une revue hal-04862711v1
DIFFUSIVE RELAXATION LIMIT OF THE MULTI-DIMENSIONAL HYPERBOLIC JIN-XIN SYSTEM Timothée Crin-Barat,Ling-Yun Shou Journal of Differential Equations, 2023, 357, pp.302-331. ⟨10.1016/j.jde.2023.02.015⟩ Article dans une revue hal-04862747v1
Global existence for partially dissipative hyperbolic systems in the Lp framework, and relaxation limit Timothée Crin-Barat,Raphaël Danchin Mathematische Annalen, 2023, 386 (3-4), pp.2159-2206. ⟨10.1007/s00208-022-02450-4⟩ Article dans une revue hal-03531038v1
The hyperbolic-parabolic chemotaxis system modelling vasculogenesis: global dynamics and relaxation limit Timothée Crin-Barat,Qingyou He,Ling-Yun Shou SIAM Journal on Mathematical Analysis, 2023, 55 (5), pp.4445-4492. ⟨10.1137/22M1477295⟩ Article dans une revue hal-04862743v1
Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications Timothée Crin-Barat,Raphaël Danchin Pure and Applied Analysis, 2022, 4 (1), pp.85-125. ⟨10.2140/paa.2022.4.85⟩ Article dans une revue hal-03097289v2
Partially dissipative hyperbolic systems in the critical regularity setting: The multi-dimensional case Timothée Crin-Barat,Raphaël Danchin Journal de Mathématiques Pures et Appliquées, 2022, 165, pp.1-41. ⟨10.1016/j.matpur.2022.07.001⟩ Article dans une revue hal-04227196v1

Pré-publication, Document de travail (6)

On the relaxation towards mechanical equilibrium for two-pressure compressible flows Burtea Cosmin,Timothée Crin-Barat,Pierre Gonin--Joubert 2026 Pré-publication, Document de travail hal-05485386v1
The compressible Euler system with damping in hybrid Besov spaces: global well-posedness and relaxation limit Timothée Crin-Barat,Zihao Song 2026 Pré-publication, Document de travail hal-05491484v1
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,Qimeng Zhu 2025 Pré-publication, Document de travail hal-05404720v1
Large-Time Asymptotics for Hyperbolic Systems with Non-Symmetric Relaxation: An Algorithmic Approach Timothée Crin-Barat,Lorenzo Liverani,Ling-Yun Shou,Enrique Zuazua 2025 Pré-publication, Document de travail hal-04976583v1
Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness Timothée Crin-Barat,Nicola de Nitti,Stefan Škondrić,Alessandro Violini 2025 Pré-publication, Document de travail hal-04862776v1
Quantitative derivation of a two-phase porous media system from the one-velocity Baer-Nunziato and Kapila systems Timothée Crin-Barat,Ling-Yun Shou,Jin Tan 2024 Pré-publication, Document de travail hal-03853290v3

Thèse (1)

Systèmes hyperboliques partiellement dissipatifs et applications à la mécanique des fluides Timothée Crin-Barat Equations aux dérivées partielles [math.AP]. Université Paris-Est, 2021. Français. ⟨NNT : 2021PESC0069⟩ Thèse tel-03855442v1