Inertial manifolds, symmetry and applications to PDE's

  1. A. Rodríguez-Bernal 1
  1. 1 Departamento de Matemática Aplicada. Universidad Complutense de Madrid
Libro:
Mathematics, climate and environment
  1. J. I. Díaz (ed. lit.)
  2. J. L. Lions (ed. lit.)

Editorial: Masson

ISSN: 0298-3168

ISBN: 2225842973

Año de publicación: 1993

Páginas: 296-306

Tipo: Capítulo de Libro

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Referencias bibliográficas

  • S. N. Chow, K. Lu. (1988) "Invariant manifolds for flows in Banach spaces" . J. Diff. Eqns 74, 285-317
  • C. Foias, G. R. Sell, R. Temam, (1988) "Inertial manifolds for nonlinear evolution equations" , J. Diff. Eqns. 73, 309-353
  • J. K. Hale, (1988) "asymptotic behavior of dissipative systems", Mathematical Surveys and Monographs, 25, AMS.
  • J. K. Hale, G. Raugel, (1991) "Reaction diffusion equations on thin domains", to appear in J. Math. Pures Appl.
  • D. Henry, (1982) "Geometric theory of semilinear parabolic equations", Lecture Notes in Mathematics 840, Springer.
  • J. Mallet-Paret, G. R. Sell, (1988) "Inertial manifolds for reaction diffusion equations in higher space dimension", J. of the AMS 1, #4, 805-866
  • J. Mallet-Paret, G. R. Sell, (1987) "The principle of spatial averaging and inertial manifolds for reaction diffusion equations", Lecture Notes in Maths 1248, 94-107.
  • X. Mora, (1982) Ph. D. Thesis, Universitat Autonoma de Barcelona.
  • A. Rodríguez-Bernal, (1990) "Inertial manifolds for dissipative semiflows in Banach spaces", Applicable analysis 37, 95-141.
  • A. Rodríguez-Bernal, (1991a) "On the construction of inertial manifolds under symmetry constraints I: Abstract results", to appear in Nonlinear Analysis TMA.
  • A. Rodríguez-Bernal, (1991b) "On the construction of inertial manifolds under symmetry constraints II: O(2) constraint and inertial manifolds on thin domains", to appear in J. Math Pures et Appl.
  • R. Temam, (1988) "Infinite dimensional dynamical systems in mechanics and physics", Applied mathematical Sciences 68, Springer.