Non-linear stability analysis of higher order dissipative partial differential equations

Mathematical Physics Electronic Journal

Volumn 4, Issue , 1998, Pages 1-20

  Eckmann, J P ^a   Wayne, C E ^b,c  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b USA   (United States)

^c BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002662982     PISSN: 10866655     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Bricmont, J., A. Kupiainen, and G. Lin: Renormalization group and asymptotics of solutions of nonlinear parabolic equations. Comm. Pure Appl. Math. 47, 893-922 (1994).
2. Eckmann, J.-P., and Th. Gallay: Front solutions for the Ginzburg-Landau equation. Comm. Math. Phys. 152, 221-248 (1993).
3. J. Carr: The Centre Manifold Theorem and its Applications, Springer-Verlag (1983).
4. Cahn, J.W., and H. E. Hilliard: Free energy of a nonuniform system I. Interfacial free energy. J. Chem. Phys. 28, 258-267 (1958).
5. Eckmann, J.-P., C.E. Wayne, and P. Wittwer: Geometric stability analysis for periodic solutions of the Swift-Hohenberg equation. Comm. Math. Phys. 190, 173-211 (1997).
6. Gallay, Th.: A center-stable manifold theorem for differential equations in Banach spaces. Commun. Math. Phys. 152, 249-268 (1993).
7. Henry, D.: Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, 840, Springer, Berlin (1981).
8. de la Llave, R., and C.E. Wayne: On Irwin's proof of the pseudostable manifold theorem. Math. Z. 219, 301-321 (1995).
9. G. Schneider: Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation. Comm. Math. Phys. 178, 679-702 (1996).
10. Wayne, C.E.: Invariant manifolds for parabolic partial differential equations on unbounded domains. Arch. Rat. Mech. Anal. 138, 279-306 (1997).
11. Wayne, C.E.: Invariant manifolds and the asymptotics of parabolic equations in cylindrical domains in book Proceedings of the first US/China Conference on Differential Equations, Hangzhou PR. International Press (1997).