Timothée Crin-Barat

Maître de Conférences à l'Institut de Mathématique de Toulouse
20
Documents

Publications

Publications

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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 (Nonlinear Analysis), In press

Article dans une revue hal-04862742v1
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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
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Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the Lp framework

Timothée Crin-Barat , Ling-Yun Shou , Jianzhong Zhang

Science China Mathematics, 2024, 67, https://www.sciengine.com/SCM/doi/10.1007/s11425-023-2367-5;JSESSIONID=d34b19bd-1cd5-43da-bc4f-b23e25edb91d

Article dans une revue hal-03345013v2
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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
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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
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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
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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
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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
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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 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
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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
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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
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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
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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
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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
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A NEW CHARACTERIZATION OF THE DISSIPATION STRUCTURE AND THE RELAXATION LIMIT FOR THE COMPRESSIBLE EULER-MAXWELL SYSTEM

Timothée Crin-Barat , Yue-Jun Peng , Ling-Yun Shou , Jiang Xu

2025

Pré-publication, Document de travail hal-04889239v1
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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
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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
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Partially dissipative hyperbolic systems in the critical regularity setting : the multi-dimensional case

Timothée Crin-Barat , Raphaël Danchin

2021

Pré-publication, Document de travail hal-03223784v1