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Séminaire de EDP - Physique Mathématique

A nonlinear forward-backward problem

Frédéric Marbach

( ENS Paris )

Salle de Conférences and online BBT

le 03 octobre 2023 à 11:00

In this presentation, we will construct regular solutions for a nonlinear elliptic-parabolic equation in which the natural direction of parabolicity reverses along a critical line. To prevent the emergence of singularities, we will impose orthogonality conditions on the source terms, and follow them during the execution of the nonlinear scheme.

This is a joint work with Anne-Laure Dalibard and Jean Rax, motivated by recirculation problems in boundary layer theory for fluid mechanics, and based on the preprint https://arxiv.org/abs/2203.11067