Article
Lack of uniqueness for weak solutions of the incompressible porous media equation
Author/s | Córdoba Gazolaz, Diego
Faraco Hurtado, Daniel Gancedo García, Francisco |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2011-06 |
Deposit Date | 2016-09-21 |
Published in |
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Abstract | 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∞ in space and time. |
Project ID. | MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138 MTM2008-02568 0901810 |
Citation | Córdoba Gazolaz, D., Faraco Hurtado, D. y Gancedo García, F. (2011). Lack of uniqueness for weak solutions of the incompressible porous media equation. Archive for Rational Mechanics and Analysis, 200 (3), 725-746. |
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