Published January 1, 1987
| public
Journal Article
Existence of Solutions of a Two-Point Free-Boundary Problem Arising in the Theory of Porous Medium Combustion
- Creators
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Stuart, A. M.
Abstract
The existence of solutions of a two-point free-boundary problem arising from the theory of travelling combustion waves in a porous medium is examined. The problem comprises a third-order nonlinear ordinary differential equation posed on an unknown interval of finite length; four boundary conditions are given, two at either end of the interval. The equations possess a trivial solution for all values of the bifurcation parameter λ. A shooting technique is employed to prove the existence of a nontrivial solution for 0 < λ< λ_c and nonexistence theorems are proved for λ ∉ (0, λ_c ).
Additional Information
© 1987 Oxford University Press. Received: 27 November 1986. Revision Received: 23 March 1987. Published: 01 January 1987. I am extremely grateful to Dr. John Norbury for valuable discussions on various aspects of this work. I also wish to thank the Science and Engineering Research Council for funding this work.Additional details
- Eprint ID
- 78123
- Resolver ID
- CaltechAUTHORS:20170612-142648576
- Science and Engineering Research Council (SERC)
- Created
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2017-06-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Other Numbering System Name
- Andrew Stuart
- Other Numbering System Identifier
- J3