Stability of strong detonation travelling waves to combustion model

Journal of Mathematical Analysis and Applications

Volumn 201, Issue 2, 1996, Pages 516-531

  Li, Dening ^a   Liu, Tai Ping ^b   Tan, Dechun ^c  

^a WEST VIRGINIA UNIVERSITY   (United States)

^b STANFORD UNIVERSITY   (United States)

^c CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030585881     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0271     Document Type: Article

References (12)

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3. 3. D. Henry, "Geometric Theory of Semilinear Parabolic Equations," Lect. Notes in Math., Vol. 840, Springer-Verlag, New York/Berlin, 1981.
4. 4. C. K. R. T. Jones, R. Gardner, and T. Kapitula, Stability of travelling waves for non-convex scalar viscous conservation laws, Comm. Pure Appl. Math., to appear.
5. 5. B. Larrouturou, Remarks on a model for combustion waves, Nonlinear Anal. 9 (1985), 905-935.
6. 6. D. Li and D. Tan, Remarks on weak detonation and Chapman-Jouget detonation travelling wave solutions to the simplest combustion model, submitted.
7. 7. T. P. Liu and L. A. Ying, Nonlinear stability of strong detonation waves for a model combustion system (unpublished).
8. 8. A. Majda, A qualitative model for dynamic combustion, SIAM J. Appl. Math. 41 (1981), 70-93.
9. 9. A. Pazy, "Semigroups of Linear Operators and Applications to Partial Differential Equations," Appl. Math. Sci., Vol. 44, Springer-Verlag, New York/Berlin, 1983.
10. 10. R. L. Pego, Linearized stability of extreme shock profiles for systems of conservation laws with viscosity, Trans. Amer. Math. Soc. 280 (1983), 431-461.
11. 11. R. R. Rosales and A. Majda, Weakly nonlinear detonation waves, SIAM J. Appl. Math. 43 (1983), 1086-1118.
12. 12. D. H. Sattinger, On the stability of waves of nonlinear parabolic systems, Adv. Math. 22 (1976), 315-355.