Postdoctoral Researcher

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.

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 (FAUUniversity 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"

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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