Some remarks on a viscous regularization of the nonlinear diffusion equation

Autor:	Tomassetti, Giuseppe
Rok vydání:	2015
Předmět:	Mathematical Physics Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We illustrate an alternative derivation of the viscous regularization of the diffusion equation which was studied in [A. Novick-Cohen and R. L. Pego. {\em Trans. Amer. Math. Soc.}, 324:331--351]. We provide an alternative proof of existence of solutions, based on the Galerkin method and on compactness arguments. In addition, we propose a "non-smooth" variant of the viscous regularization which we believe may result in interesting hysteretic effects.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1505.07993 Zobrazit plný text záznamu View this record from Arxiv