Wladimir Neves

Universidade Federal do Rio de Janeiro, Brazil

Title: The Hele-Shaw free boundary limit of Buckley-Leverett System

Abstract: In this talk, we propose a new approach to solving the Buckley-Leverett System, which is to consider a compressible approximation model characterized by a stiff pressure law. Passing to the incompressible limit, the compressible model gives rise to a Hele-Shaw type free boundary limit of Buckley-Leverett System, and it is shown the existence of a weak solution of it.