Multidimensional nonlinear diffusion equation: Spatial time dependent diffusion coefficient and external forces

We analyze a multidimensional nonlinear diffusion equation taking a spatial time dependent diffusion coefficient and external forces into account. We obtain new exact classes of solutions and investigate the transverse effects induced by an external force applied in the system. We also connect the solutions found here with the distribution that emerges from the nonextensive statistics.

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Year of publication:	2005
Authors:	da Silva, L.R. ; Lucena, L.S. ; da Silva, P.C. ; Lenzi, E.K. ; Mendes, R.S.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 357.2005, 1, p. 103-108
Publisher:	Elsevier
Subject:	Anomalous diffusion \| Nonlinear diffusion equation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010874162