QUENCHING AND PROPAGATION OF COMBUSTION FRONTS IN POROUS MEDIA

Document Type

Article

Publication Date

1-1-2006

Abstract

In this short note we study the model of subsonic detonation introduced by Sivashin-sky. The model is described by the system of reaction-diffusion equations involving temperature, pressure and concentration of deficient reactant. It is shown that initial data with small support lead to quenching (decay of solution). In contrast, initial data with support large enough lead to propagation with finite velocity

Identifier

43049147801 (Scopus)

Publication Title

Communications in Mathematical Sciences

External Full Text Location

https://doi.org/10.4310/CMS.2006.v4.n2.a9

e-ISSN

19450796

ISSN

15396746

First Page

471

Last Page

479

Issue

2

Volume

4

Grant

0405252

Fund Ref

National Science Foundation

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