Proof of a Conjecture for the One-Dimensional Perturbed Gelfand Problem from Combustion Theory-Reference-Cited by-同舟云学术

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Proof of a Conjecture for the One-Dimensional Perturbed Gelfand Problem from Combustion Theory

Published:2016-05-25 Issue:2 Volume:222 Page:769-825
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Huang Shao-Yuan,Wang Shin-Hwa

Funder

National Science Council of the Republic of China

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-016-1011-1.pdf

Reference30 articles.

1. Bebernes J., Eberly D.: Mathematical problems from combustioneory. Springer-Verlag, New York (1989)

2. Boddington T., Gray P., Robinson C.: Thermal explosion and the disappearance of criticality at small activation energies: exact results for the slab. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 368, 441–461 (1979)

3. Brown K.J., Ibrahim M.M.A., Shivaji R.: S-shaped bifurcation curves. Nonlinear Anal. 5, 475–486 (1981)

4. Crandall M.G., Rabinowitz P.H.: Bifurcation, perturbation of simple eigenvalues and linearized stability. Arch. Rational Mech. Anal. 52, 161–180 (1973)

5. Cohn P.M.: Basic algebra: groups, rings and fields. Springer-Verlag, London (2003)

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