Published April 7, 2003 | Version v1
Journal article Metadata-only

On a free boundary problem in a nonlinear diffusive-convective system

Creators

Description

A free boundary problem for a nonlinear diffusion-convection equation is considered. The problem is reduced to a nonlinear integral equation in time which is shown to admit a unique solution for small time. An explicit traveling wave solution is also obtained, which travels with the same velocity as that of the free boundary

Additional details

Identifiers

DOI
10.1016/S0375-9601(03)00068-9;
arXiv
arXiv:math/0202071v1;
PII
S0375960103000689;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
310
Journal Issue
1
Journal Page Range
p. 25-29
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36086166
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; BOUNDARY-VALUE PROBLEMS; CONVECTION; DIFFUSION EQUATIONS; INTEGRAL EQUATIONS; NONLINEAR PROBLEMS; TRAVELLING WAVES; WAVE FUNCTIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; ENERGY TRANSFER; EQUATIONS; FUNCTIONS; HEAT TRANSFER; MASS TRANSFER; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Copyright
Copyright (c) 2003 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.