Timothee Crin-Barat – cmc.deusto.eus

Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach

T. Crin-Barat, L. Liverani, Ly Shou, E. Zuazua (2025)Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach https://arxiv.org/abs/2503.00236 Abstract. We study the stability of one-dimensional linear hyperbolic systems…

On the decay of one-dimensional locally and partially dissipated and hyperbolic systems

Crin-Barat T., De Nitti N., Zuazua E. (2025) On the decay of one-dimensional locally and partially dissipated and hyperbolic systems, ESAIM:COCV, https://arxiv.org/abs/2206.00555 Abstract. We study the time-asymptotic behavior of linear…

Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system

T. Crin-Barat, E. Zuazua. Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: Application to the nonlinearly damped p-system (2024) Ann. Inst. Henri Poincare (C) Anal. Non Lineaire,…

Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation

R. Bianchini, Crin-Barat T., M. Paicu. Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation (2022) Abstract. We prove the nonlinear asymptotic stability of stably stratified solutions…

Diffusive Relaxation Limit of the Multi-Dimensional Hyperbolic Jin-Xin System

Crin-Barat T., L. Shou. Diffusive Relaxation Limit of the Multi-Dimensional Hyperbolic Jin-Xin System (2022) Abstract. In this paper we study the diffusive relaxation limit of the Jin-Xin system toward viscous…

Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach

On the decay of one-dimensional locally and partially dissipated and hyperbolic systems

Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system

Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation

Diffusive Relaxation Limit of the Multi-Dimensional Hyperbolic Jin-Xin System

Turnpike in optimal control and beyond: a survey

Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach

Pointwise constraints for scalar conservation laws with positive wave velocity

Gaussian Beam ansatz for finite difference wave equations

Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics