Linear and nonlinear forward-backward problems

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Linear and nonlinear forward-backward problems

Nom de l'orateur
Frédéric Marbach
Etablissement de l'orateur
ENS Paris
Date et heure de l'exposé
31-03-2025 - 11:00:00
Lieu de l'exposé
salle Eole
Résumé de l'exposé

In this presentation, we will construct regular solutions to linear and nonlinear elliptic-parabolic equations 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 schemes.

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

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