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arXiv · 1708.00660

Porous medium equation with nonlocal pressure in a bounded domain

Quoc-Hung Nguyen·Juan Luis Vázquez
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Abstract

We study a quite general family of nonlinear evolution equations of diffusive type with nonlocal effects. More precisely, we study porous medium equations with a fractional Laplacian pressure, and the problem is posed on a bounded space domain. We prove existence of weak solutions and suitable a priori bounds and regularity estimates.

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Quoc-Hung Nguyen, Juan Luis Vázquez. 2017-08-02. Porous medium equation with nonlocal pressure in a bounded domain. https://arxiv.org/abs/1708.00660

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