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1. On the global solvability of porous media equations with general (spatially dependent) advection terms

Author

Diehl, N. M. L., Fabris, L., and Zingano, P. R.

Subjects
Mathematics - Analysis of PDEs, 35K65 (primary), 35A01, 35K15
Abstract

We show that advection-diffusion equations with porous media type diffusion and integrable initial data are globally solvable under very mild conditions. Some generalizations and related results are also given., Comment: 7 pages, 2 eps figures. This is a quick communication of an important global existence result that is valid for a broad class of PME type equations

Published
2018

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