Department of Mathematics

CIM CoSy Seminar

  • Date: 3/28/2017 at 12:00 PM 1:00 PM
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å11167
  • Lecturer: Francisco Gancedo, Department of Mathematical Analysis, Faculty of Mathematics, University of Seville
  • Contact person: Joel Dahne
  • Phone: 0762020507
  • Seminarium

28 March
Speaker: Francisco Gancedo, Department of Mathematical Analysis, Faculty of Mathematics, University of Seville
Title: Regularity vs singularities for incompressible fluids interfaces
Place: Å11167
Time: 12:00 -- 13:00

28 March
Speaker: Francisco Gancedo, Department of Mathematical Analysis, Faculty of Mathematics, University of Seville
Title: Regularity vs singularities for incompressible fluids interfaces.
Place: Å11167
Time: 12:00 -- 13:00
Abstract:
In this talk we consider several scenarios involving the interaction among incompressible fluids of different nature. The main concern is the dynamics of the free boundary separating the fluids, which evolves with the flow velocity. The important question to address is whether the regularity is preserved in time or on the other hand the system develops singularities. We focus on several important physical models: Euler or water-waves, Muskat or porous media interfaces, front dynamics by Surface Quasi-Geostrophic, Navier-Stokes equations, Boussinesq, etc. At first we show results on finite time blow-up. Later we discuss new recent results on global existence for 1996 P.L. Lions' conjecture for density patches evolving by inhomogeneous Navier-Stokes equations.