Welcome to my website. Before, I have been a postdoctoral instructor at UT Austin. My mentor was Alexis Vasseur. I defended my PhD on July, 6th at IRMAR (University of Rennes I) under the supervision of Luis Miguel Rodrigues. I working on the asymptotic stability of travelling waves solution of partial differential equations. The title of my PhD thesis was "The stability of shocks and of their viscous approximations".
I work on the analysis of PDE. More precisely, I have worked so far on (in)stability of travelling waves, especially for hyperbolic equations and their viscous approximations. In particular, I am interested in results uniform with respect to the viscosity parameter.
Contact : paul.blochas at ens-rennes.fr
Bienvenue sur mon site. J'ai soutenu ma thèse de mathématiques le 6 juillet à l'IRMAR (université de Rennes I) sous la direction de Luis Miguel Rodrigues. Je travaille sur la stabilité asymptotique d'ondes progressives solutions d'équations aux dérivées partielles non linéaires. Mon sujet de thèse était : "Stabilité des chocs et de leurs approximations visqueuses".
Je suis en postdoc depuis le mois de septembre 2023 à l'Université du Texas à Austin, où mon mentor est Alexis Vasseur.
Contact : paul.blochas at utexas.edu
Articles :
1."Uniform asymptotic stability for convection-reaction-diffusion equations in the inviscid limit towards Riemann shocks" with L. Miguel Rodrigues. Ann. Inst. H. Poincaré C Anal. Non Linéaire 41 (2024), no. 3, 615–661.
2."Majda and ZND models for detonation: nonlinear stability vs. formation of singularities" with A. Wheeler. SIAM J. Math. Anal. 56 (2024), no. 5, 6137–6191.
3."Viscous Destabilization for Large Shocks of Conservation Laws" with J. Cheng. Preprint on arxiv: arxiv.org/abs/2501.01537 .