On thermal explosion in porous media

Authors

Peter Gordon, New Jersey Institute of Technology

Document Type

Article

Publication Date

5-13-2010

Abstract

We consider a model of thermal explosion in porous media which is a natural generalization of the well-known problem of self-ignition introduced by (Gelfand 1963 Am. Math. Soc. Trans. 29 295-381). We rigorously prove that, similar to the Gelfand-Barenblatt problem, the thermal explosion (finite time blow-up of all solutions for the problem with non-negative initial data) occurs exclusively due to the absence of a weak solution of the corresponding stationary problem.

Identifier

84886599040 (Scopus)

Publication Title

Nonlinearity

External Full Text Location

https://doi.org/10.1088/0951-7715/23/6/009

e-ISSN

13616544

ISSN

09517715

First Page

1433

Last Page

1447

Issue

6

Volume

23

Grant

2006-151

Fund Ref

United States-Israel Binational Science Foundation

Recommended Citation

Gordon, Peter, "On thermal explosion in porous media" (2010). Faculty Publications. 6314.
https://digitalcommons.njit.edu/fac_pubs/6314