The Muskat equation with data in the critical Sobolev space

The Muskat equation with data in the critical Sobolev space
Organizer
Eduardo García-Juárez
Neel Janak Patel
Lugar
Seminario I (IMUS), Edificio Celestino Mutis
Autor
Omar Lazar
Tipo de evento
Descripción

The Muskat problem is a nonlinear and nonlocal equation that modelises the dynamic of two fluids of different characteristics. In this talk, I shall present a global existence result for the Muskat problem with data in H^3/2. The proof is based on a new formulation of the Muskat problem. This formulation allows one to take advantage of (the hidden) oscillatory nature of this equation, which besides, allows one to use Besov space techniques to conclude the a priori estimates.
 


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