Lack of uniqueness for weak solutions of the incompressible porous media equation

2009/12/16 by Diego Cordoba, Daniel Faraco, Francisco Gancedo · 1 citation
Mathematics · #math.AP

paper · pdf · doi:10.1007/s00205-010-0365-z

23 pages, 2 fugures

arxiv created 2009/12/16 · arxiv updated 2015/05/14

Abstract

In this work we consider weak solutions of the incompressible 2-D porous media equation. By using the approach of De Lellis-Székelyhidi we prove non-uniqueness for solutions in L^∞ in space and time.

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