Wave front for a reaction-diffusion system and relativistic Hamilton-Jacobi dynamics

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 5, 1999, Pages 5040-5044

  Fedotov, Sergei ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001137004     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.5040     Document Type: Article

References (25)

1. D. Aronson and H. Weinberger, in Nonlinear Diffusion in Population Genetics, Combustion and Nerve Propagation, Lecture Notes in Mathematics Vol. 446 (Springer, Berlin, 1975).
2. N.F. Britton, Reaction-Diffusion Equations and Their Applications to Biology (Academic Press, New York, 1986).
3. V.A. Vasilev, D.S. Chernavskii, and V.G. Yakhno, Yu.M. Romanovskii, Autowave Processes in Kinetic Systems (Reidel, Dordrecht, 1986).
4. J.D. Murray, Mathematical Biology (Springer, Berlin, 1989).
5. A.S. Mikhailov, Foundations of Synergetics I: Distributed Active Systems (Springer, Berlin, 1990).
6. M. Freidlin, Functional Integration and Partial Differential Equations (Princeton University Press, Princeton, NJ, 1985).
7. M. Freidlin, Semi-linear PDE’s and Limit Theorems for Large Deviations, edited by P. L. Hennequin, Lecture Notes in Mathematics Vol. 1527 (Springer, Berlin, 1992), pp. 1–109.
8. F.A. Williams, Combustion Theory, 2nd ed. (Benjamin-Cummings, Menlo Park, CA, 1985).
9. P.M. Morse and H. Feshbach, Methods of Theoretical Physics I (McGraw-Hill, New York, 1953).
10. D.D. Joseph and L. Preziosi, Rev. Mod. Phys. 61, 41 (1989).
11. A. Monin and A. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1987).
12. S. Fedotov, Phys. Rev. E 58, 5143 (1998).
13. M. Bramson, P. Calderoni, A. De Masi, P. Ferrari, J. Lebowitz, and R.H. Schonmann, J. Stat. Phys. 45, 905 (1986).
14. A. Kerstein, J. Stat. Phys. 45, 921 (1986).
15. A. De Masi, N. Ianiro, A. Pellegrinotti, and E. Presutti, in Studies in Statistical Mechanics, edited by J.L. Lebowitz and E.W. Montrol (North-Holland, Amsterdam, 1984), Vol. 2.
16. A. Lemarchand, A. Lesne, and M. Mareschal, Phys. Rev. E 51, 4457 (1995).
17. I.M. Davies, A. Truman, and H.Z. Zhao, Proc. R. Soc. Edinburgh, Sect. A: Math. 126, 957 (1996).
18. M.G. Crandal, L.C. Evans, and P.-L. Lions, Trans. Am. Math. Soc. 282, 487 (1984).
19. L.C. Evans and P.E. Souganidis, Indiana Univ. Math. J. 38, 141 (1989).
20. G. Barles, L.C. Evans, and P.E. Souganidis, Duke Math. J. 61, 835 (1990).
21. P. Souganidis and A. Majda, Nonlinearity 7, 1 (1994).
22. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1960).
23. K.N.C. Bray, Proc. R. Soc. London, Ser. A 431, 315 (1990).
24. S. Fedotov, Phys. Rev. E 52, 3835 (1995).
25. S. Fedotov, Phys. Rev. E 55, 2750 (1997).