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On the Regularity of the Solution Map of the Porous Media Equation by Inci, Hasan is a scholarly article available to read on EtoBox.

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In this paper we consider the incompressible porous media equation in the Sobolev spaces $H^s(\R^2), s > 2$. We prove that for $T > 0$ the time $T$ solution map $\rho_0 \mapsto \rho(T)$ is nowhere locally uniformly continuous. On the other hand we show that the particle trajectories are analytic curves in $\R^2$.

Author

Inci, Hasan

Published

2017

Language

EN