[Past member] Postdoctoral Researcher (2022/24)
timothee.crin-barat@fau.de
Room 03.361 | Friedrich-Alexander-Universität Erlangen Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67167
Since October 2022, Timothée Crin-Barat is a Postdoctoral Researcher at FAU DCN-AvH – Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at the Department of Data Science at Friedrich-Alexander-Universität Erlangen-Nürnberg under the supervision of Prof. Enrique Zuazua.
Previously he was a Postdoctoral researcher in the Advanced Grant project DyCon at DeustoCCM, Chair of Computational Mathematics also supervised by Prof. Enrique Zuazua.
He earned his PhD at University Paris-Est Créteil in December 2021, his doctoral adviser was Raphaël Danchin. Timothée obtained his Master’s Degree in Mathematics of Modelling at Sorbonne Université in 2017.
Expertise: Nonlinear Analysis, Nonlinear Partial Differential Equations, Partial Differential Equations, Fluid Mechanics, Nonlinear Systems
PhD Thesis: Systèmes hyperboliques partiellement dissipatifs et applications à la mécanique des Fluides (December 2021)
Events
• Hyperbolic approximations in fluid mechanics: hypocoercivity and hybrid Besov spaces Nov 23, 2023
• A survey on partially dissipative systems: global well-posedness and strong relaxation limit in the critical regularity setting Nov 20, 2023
• Hyperbolic Approximation of the Navier-Stokes-Fourier system: hypocoercivity and hybrid Besov spaces Nov 09, 2023
• FAU DCN-AvH Mini-workshop: “Analysis, Numerics and Control” | Nov 11, 2022: Relaxation approximation and asymptotic stability of stratified solutions to the Incompressible Porous Media equation
My posts on Math & Research
Stability of hyperbolic systems with non-symmetric partial dissipation
Publications
2025
- Crin-Barat T, Shou L-Y, Zhang J:
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the Lpframework
(2025)
BibTeX: Download - , , , :
Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach
(2025)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/CrinBarat_Liverani_Shou_Zuazua_Non_symmetric_dissipation.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/CrinBarat_Liverani_Shou_Zuazua_Non_symmetric_dissipation.pdf
BibTeX: Download - , :
Asymptotic-preserving finite difference method for partially dissipative hyperbolic systems
(2025)
BibTeX: Download - Crin-Barat T, Shou L-Y, Zuazua E:
Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system
(2025)
Open Access: https://doi.org/10.48550/arXiv.2308.08280
BibTeX: Download
2024
- , , :
Relaxation Approximation and Asymptotic Stability of Stratified Solutions to the IPM Equation
In: Archive for Rational Mechanics and Analysis 248 (2024), Article No.: 2
ISSN: 0003-9527
DOI: 10.1007/s00205-023-01945-x
BibTeX: Download - , , :
The Cattaneo-Christov approximation of Fourier heat-conductive compressible fluids
(2024)
BibTeX: Download - , , :
Quantitative derivation of a two-phase porous media system from the one-velocity Baer-Nunziato and Kapila systems
In: Nonlinearity 37 (2024), Article No.: 075002
ISSN: 0951-7715
DOI: 10.1088/1361-6544/ad3f66
BibTeX: Download - , , :
Relative energy method for weak-strong uniqueness of the inhomogeneous Navier-Stokes equations
(2024)
BibTeX: Download
2023
- , , :
Pressure-relaxation limit for a one-velocity Baer-Nunziato model to a Kapila model
In: Mathematical Models & Methods in Applied Sciences (2023)
ISSN: 0218-2025
DOI: 10.1142/S0218202523500161
BibTeX: Download - , :
Diffusive relaxation limit of the multi-dimensional Jin-Xin system
In: Journal of Differential Equations 357 (2023), p. 302-331
ISSN: 0022-0396
DOI: 10.1016/j.jde.2023.02.015
BibTeX: Download
