COMPLETE AND EXACT-SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION-EQUATIONS AND PROBLEM OF VELOCITY SELECTION

Authors
WANG XY FAN S KYU T
Citation
Xy. Wang et al., COMPLETE AND EXACT-SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION-EQUATIONS AND PROBLEM OF VELOCITY SELECTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 4931-4934
Citations number
32
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
56
Issue
5
Year of publication
1997
Part
A
Pages
4931 - 4934
Database
ISI
SICI code
1063-651X(1997)56:5<4931:CAEOAC>2.0.ZU;2-#
Abstract
In this Rapid Communication complete and exact solutions of a class of nonlinear diffusion equations have been presented. The exact solution s give a tutorial explanation about the mechanism of velocity selectio n. The marginal stability hypothesis is extended to predict velocity s election for the equations. It has been shown that this class of equat ions can be transformed to the heat equation via nonlinear transformat ions. Numerical experiments have been performed to test the theoretica l prediction.