Desingularization and long-term dynamics of solutions to fluid modelsPDE and Applied Math Seminar
|Speaker:||Susanna Haziot, Brown University|
|Start time:||Thu, Nov 2 2023, 4:10PM|
The Muskat equation models the interaction of two incompressible fluids with equal viscosity propagating in porous medium, governed by Darcy’s law. The Peskin problem describes the flow of a Stokes fluid through the heart valves. In this talk, we investigate the small data critical regularity theory for these two models, and in particular, the desingularization of interfaces with small corners. The first part is joint work with E. Garcia-Juarez, J. Gomez-Serrano and B. Pausader. The second part is joint work with E. Garcia-Juarez.