EXACT TRANSIENT SOLUTIONS TO NONLINEAR DIFFUSION CONVECTION EQUATIONSIN HIGHER DIMENSIONS

Authors
EDWARDS MP BROADBRIDGE P
Citation
Mp. Edwards et P. Broadbridge, EXACT TRANSIENT SOLUTIONS TO NONLINEAR DIFFUSION CONVECTION EQUATIONSIN HIGHER DIMENSIONS, Journal of physics. A, mathematical and general, 27(16), 1994, pp. 5455-5465
Citations number
17
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
16
Year of publication
1994
Pages
5455 - 5465
Database
ISI
SICI code
0305-4470(1994)27:16<5455:ETSTND>2.0.ZU;2-B
Abstract
The complete Lie algebra of classical infinitesimal symmetries of the nonlinear diffusion-convection equation in two and three dimensions is presented. Except for some cases involving constant diffusivity, a co mplete reduction to an ordinary differential equation is not possible. However, closed-form solutions are obtained for special forms of both the 2D and 3D nonlinear diffusion-convection equations, using a symme try reduction and an additional physical constraint, This extends the small list of closed-form transient solutions already known.