Convergence to periodic fronts in a class of semilinear parabolic equations

Nonlinear Differential Equations and Applications

Volumn 4, Issue 4, 1997, Pages 521-536

  Namah, Gawtum ^a   Roquejoffre, Jean Michel ^b  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000596044     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000300050029     Document Type: Article

References (8)

1. H. BERESTYCKI, L. NIRENBERG, On the method of moving planes and sliding domains, Boll. da Soc. Brasileira de Matematica 22, 1-37 (1991)
2. C.M. BRAUNER, P. FIFE, G. NAMAH, C. SCHMIDT-LAINE, Propagation of a flame front in a striated solid medium: A homogenization analysis, Quarterly of Applied Mathematics 51, 3, 467-493 (1993)
3. C.M. BRAUNER, G. NAMAH et al., Solid propellant combustion in striated media with applicaton to the 'hump effect', 28th Joint Propulsion Conference, AIAA 92-3508, Nashville, USA, (1992).
4. N. DANCER, P. HESS, Stability of fixed points for strongly order-preserving discrete-time dynamical systems, J. Reine Angew. Math. 419, 125-139 (1991)
5. D. HENRY, Geometric theory of semilinear parabolic equation Lecture Notes in Mathematics, Springer Verlag, New-York, 1981
6. O.A. LADYZHENSKAYA, N.N. URALCEVA, S.N. SOLONNIKOV, Linear and quasilinear equations of parabolic type, Transl. Math. Monog. Am. Math. Soc. 23 (1968)
7. J.M. ROQUEJOFFRE, Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders, to appear
8. M. PAOLINI, C. VERDI, Asymptotic and numerical analyses of the mean curvature flow with a space-dependent relaxation parameter, Asymptotic Analysis, 5 (1992)