Timothee Crin-Barat – cmc.deusto.eus

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…

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

Crin-Barat T., De Nitti N., Zuazua E.. On the decay of one-dimensional locally and partially dissipated and hyperbolic systems (2022) Abstract. We study the time-asymptotic behavior of linear 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

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

An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound

Averaged turnpike property for differential equations with random constant coefficients. Mathematical Control and Related Fields

Boundary Controllability for the 1D Moore-Gibson-Thompson equation

Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation

Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions