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arxiv: 0912.3210 · v1 · pith:XIXHTZOKnew · submitted 2009-12-16 · 🧮 math.AP

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

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keywords solutionsequationincompressiblemediaporousweakapproachconsider
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In this work we consider weak solutions of the incompressible 2-D porous media equation. By using the approach of De Lellis-Sz\'ekelyhidi we prove non-uniqueness for solutions in $L^\infty$ in space and time.

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