An upper bound for the bulk burning rate for systems

Nonlinearity

Volumn 14, Issue 5, 2001, Pages 1297-1310

  Kiselev, Alexander ^a   Ryzhik, Leonid ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040483439     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/14/5/319     Document Type: Article

References (24)

1. Abel M, Celani A, Vergni D and Vulpiani A 2001 Front propagation in laminar flows Phys. Rev. E in press
2. Audoly B, Berestycki H and Pomeau Y 2000 Rèaction diffusion en ècoulement stationnaire rapide C. R. Acad. Sci. IIB 328 255-62
3. Berestycki H and Hamel F 2000 Front propagation in periodic media Preprint
4. Berestycki H and Nirenberg L 1992 Traveling fronts in cylinders Ann. IHP, Anal. Non-Linéare 9 497-572
5. Billingham J and Needham D 1991 The development of traveling waves in a quadratic and cubic autocatalysis with unequal diffusion: I. Permanent form traveling waves Phil. Trans. R. Soc. A 334 1-24
6. Bonnet A 1995 Non-uniqueness for flame propagation when the Lewis number is less than 1 Eur. J. Appl. Math. 6 287-306
7. n Ann. Scuola Norm. Sup. Pisa Cl. Sci. 23 625-42
8. Constantin P, Kiselev A, Oberman A and Ryzhik L 2000 Bulk burning rate in passive-reactive diffusion Arch. Rat. Mech. Anal. 154 53-91
9. Constantin P, Kiselev A and Ryzhik L 2000 Quenching of flames by fluid advection Preprint
10. Fisher R 1937 The wave of advance of advantageous genes Ann. Eugenics 7 355-69
11. Freidlin M 1985 Functional integration and partial differential equations Annals of Mathematics Studies vol 109 (Princeton, NJ: Princeton University Press)
12. Freidlin M and Gärtner J 1979 On the propagation of concentration waves in periodic and random media Sov. Math. Dokl. 20 1282-6
13. Hamel F 1999 Formules min-max pour les vitesses d'ondes progressives multidimensionnelles Ann. Fac. Sci. Toulouse 8 259-80
14. Heinze S, Papanicolaou G and Stevens A 2001 Variational principles for propagation speeds in inhomogeneous media SIAM J. Appl. Math. 62 129-48
15. Kiselev A and Ryzhik L 2001 Enhancement of the traveling front speeds in reaction-diffusion equations with advection Ann. l'IHP, Analyse Non-Linéare 18 309-58
16. Kolmogorov A N, Petrovskii I G and Piskunov N S 1937 Étude de l équation de la chaleurde matiére et son application àun problème biologique Bull. Moskov. Gos. Univ. Mat. Mekh. 1 1-25
17. Majda A and Souganidis P 1994 Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales Nonlinearity 7 1-30
18. Norris J R 1997 Long-time behavior of heat flow: global estimates and exact asymptotics Arch. Rat. Mech. Anal. 140 161-95
19. Volpert A, Volpert V and Volpert V 1994 Traveling Wave Solutions of Parabolic Systems, Translations of Mathematical Monographs vol 140 (Providence, RI: American Mathematical Society)
20. Volpert V A and Volpert A I 1997 Location of spectrum and stability of solutions for monotone parabolic system Adv. Differ. Equ. 2 811-30
21. Volpert V A and Volpert AI 1999 Existence and stability of multidimensional travelling waves in the monostable case Israel J. Math. 110 269-92
22. Volpert V A and Volpert A I 2000 Spectrum of elliptic operators and stability of travelling waves Asymptotic Anal. 23 111-34
23. Xin J 1993 Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media J. Stat. Phys. 73 893-926
24. Xin J 2000 Analysis and modeling of front propagation in heterogeneous media SIAM Rev. 42 161-230