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

Authors :
Diehl, N. M. L.
Fabris, L.
Zingano, P. R.
Publication Year :
2018

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.<br />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

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1805.07666
Document Type :
Working Paper