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

Published 15 Apr 2024 in math.AP | (2404.09781v1)

Abstract: This paper proposes 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.

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