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Traveling Wave Solutions for Combustion in a Porous Medium
Author(s) -
Tam K. K.
Publication year - 1989
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1989813249
Subject(s) - porous medium , traveling wave , eigenvalues and eigenvectors , ordinary differential equation , a priori and a posteriori , mathematics , mathematical analysis , nonlinear system , combustion , shooting method , interval (graph theory) , partial differential equation , differential equation , porosity , physics , materials science , boundary value problem , chemistry , combinatorics , philosophy , organic chemistry , epistemology , quantum mechanics , composite material
Traveling wave solutions are sought for a model of combustion in a porous medium. The problem is formulated as a nonlinear eigenvalue problem for a system of ordinary differential equations of order four, defined over an infinite interval. A shooting method is used to prove existence, and a priori bounds for the solution and parameters are obtained.