Gasless combustion fronts with heat loss

Anna Ghazaryan, Stephen Schecter, L. P. Simon

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

For a model of gasless combustion with heat loss, we use geometric singular perturbation theory to show existence of traveling combustion fronts. We show that the fronts are nonlinearly stable in an appropriate sense if an Evans function criterion, which can be verified numerically, is satisfied. For a solid reactant and exothermicity parameter that is not too large, we verify numerically that the criterion is satisfied.

Original languageEnglish
Pages (from-to)1303-1326
Number of pages24
JournalSIAM Journal on Applied Mathematics
Volume73
Issue number3
DOIs
Publication statusPublished - 2013

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Heat losses
Combustion
Heat
Geometric Singular Perturbation Theory
Evans Function
Verify
Model

Keywords

  • Evans function
  • Geometric singular perturbation theory
  • Stability
  • Traveling wave

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Gasless combustion fronts with heat loss. / Ghazaryan, Anna; Schecter, Stephen; Simon, L. P.

In: SIAM Journal on Applied Mathematics, Vol. 73, No. 3, 2013, p. 1303-1326.

Research output: Contribution to journalArticle

Ghazaryan, Anna ; Schecter, Stephen ; Simon, L. P. / Gasless combustion fronts with heat loss. In: SIAM Journal on Applied Mathematics. 2013 ; Vol. 73, No. 3. pp. 1303-1326.
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