I obtained my PhD on December 20, 2023, under the supervision of Olivier Guibé, at the Laboratoire de Mathématiques Raphaël Salem (LMRS) at the University of Rouen, Normandy (Manuscript). 

My research focuses on the mathematical and numerical analysis of non-linear partial differential equations, particularly elliptic and parabolic equations with irregular data and non-linear evolutionary systems derived from fluid thermomechanics. I study the existence, uniqueness, and stability of solutions, as well as the convergence of approximate solutions obtained by the finite volume method.

Keywords:  non-linear systems, elliptic equations, nonlinear parabolic equations, phase-field, finite volume, renormalized solutions, L^1 data, existence, uniqueness, convergence.