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

Autor:	Diehl, N. M. L., Fabris, L., Zingano, P. R.
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs 35K65 (primary) 35A01 35K15
Druh dokumentu:	Working Paper
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.07666 Zobrazit plný text záznamu View this record from Arxiv