Open AccessSelf-similar solutions of convection-diffusion processes
Author(s) -
Mohammed Guedda
Publication year - 2000
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2000.1.3
Subject(s) - diffusion , mathematics , convection , statistical physics , thermodynamics , physics
Geometric properties of self–similar solutions to the equation ut = uxx + γ(u )x, x > 0, t > 0 are studied, q is positive and γ ∈ R \ {0}. Two critical values of q (namely 1 and 2) appear the corresponding shapes are of very different nature. AMS(MOS) Subject Classification: 35K55, 35K65.
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