Abstract
Abstract
The ill-posedness of the Muskat problem in spaces that are supercritical with respect to scaling is studied. The paper’s main result establishes that for a sequence of approximations of the Muskat equation obtained via Taylor expansion, their corresponding second Picard’s iterate is discontinuous around the origin in a certain family of supercritical spaces approaching a critical space.
Funder
Agencia Nacional de Investigación y Desarrollo