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On the global solvability of porous media equations with general (spatially dependent) advection terms
- 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
- Subjects :
- Mathematics - Analysis of PDEs
35K65 (primary), 35A01, 35K15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1805.07666
- Document Type :
- Working Paper