Faculty of Social Sciences

Colloquium: Dynamics of two incompressible fluids in a porous media: Muskat problem

  • Date:
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1
  • Lecturer: Diego Cordoba (https://www.icmat.es/dcordoba)
  • Contact person: Jordi Lluís Figueras
  • Seminarium

Abstract: The Muskat equation governs the motion of an interface separation of two incompressible fluids in a porous media (the interface between oil and water in sand) . In this talk I will review results on

(1) Local and global well-posedness in the stable regime (heavier fluid below).

(2) The existence of solutions which shift stability regimes and breakdown.

(3) The existence of mixing solutions in the fully unstable regime.