Postdoctoral Researcher
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| My main research focuses on the study of the global dynamics (global wellposedness and time asymptotics) of partially dissipative hyperbolic systems and their relaxation limit, with a particular interest in models arising from fluid mechanics. | |||||
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Timothée Crin-Barat is a Postdoctoral Researcher at the ERC Advanced Grant project DyCon at Deusto Chair of Computational Mathematics under the supervision of Prof. Enrique Zuazua (FAU, University of Deusto and Universidad Autónoma de Madrid). He earned his PhD at University Paris-Est Créteil in December 2021, under the supervision of Raphaël Danchin and obtained his Master's Degree in Mathematics of Modelisation at Sorbonne Université in 2017.
Previous publications
- -T. Crin-Barat and R. Danchin. Partially dissipative hyperbolic systems in the critical regularity setting : the multi-dimensional case. arXiv:2105.08333
- -C.Burtea, T. Crin-Barat and J. Tan. Relaxation limit for a damped one-velocity Baer-Nunziato model to a Kappila model. arXiv:2109.07746 T.
- -Crin-Barat and R. Danchin. Global existence result for partially dissipative hyperbolic systems in the L^p framework and relaxation limit.
- -T. Crin-Barat, Q. He and L-Y. Shou. The hyperbolic-parabolic chemotaxis system modelling vasculogenesis: global dynamics and relaxation limit.
- Ph.D in Mathematics (2017-2021). University of Paris-Est Créteil, France
- MsC in Mathematics of Modelling (2015-2017). Sorbonne University, France
- BsC in Mathematics (2011-2015). Sorbonne University, France
PhD Thesis: "Partially Dissipative Hyperbolic Systems and application to fluids mechanics"
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 ...
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 ...
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) ...
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- TBA -soon!
- 20.06.2022. FAU DCN-AvH Mini workshop: Recent advances (Slides)
- 19.01.2022. CCM Seminar: Partially dissipative hyperbolic systems, results and perspectives (Slides)
- 19.06.2021. Global wellposedness for the compressible Euler equations in $L^p$ spaces. Nanjing University, China (Slides)
- 27.03.2020. Poster session at ”Journées jeunes edpistes 2020”, France (Poster)
- 12.11.2019. Littlewood-Paley theory and partially dissipative hyperbolic systems. PhD seminar, UPEC, France
Meet our team!
