Temam, Roger
Infinite-Dimensional Dynamical Systems in Mechanics and Physics / Roger Temam - xvi, 500 p. : il. ; 21 cm. - Applied mathematical sciences 68 Applied mathematical sciences Springer-Verlarg New York Inc. v. 68 .
General Introduction. The User´s guide -- General results and concepts on invariant sets and attractors -- Semigroups, Invariants sets and attractors -- Examples in Ordinary Differential Equations -- Fractal Interpolation and Attractors -- Elements of Functional Analysis -- Attractors of the Dissipative Evolution Equations of the First Order in Time: Reaction-Difusion Equations. Fluid Mechanics and Pattern Formation Equations -- Attractors of Dissipative Wave Equations -- Lyapunov Exponents and diménsions of Attractors -- Explicit Bounds on the Number of Degrees of Freedom and the Dimension of Attractors of Some Physical Systems Non-Well-Posed Problems, Unstable Manifolds, Lyapunov Functions, and Lower Bounds on Dimensions -- The Cone and Squeezing Properties. Inertial Manifolds -- Appendix: collective Sobolev Inequalities -- Bibliography
0-387-96638-2 -- 3-540-96638-2
Differentiable dynamical systems
Boundary value problems
Nonlinear theories
Differential equations--applied mathematics
Sistemas dinamicos diferenciales
Problemas de valors de contorno
Teorias no lineales
Ecuaciones diferenciales--matematica aplicada
515.352 / T278i
Infinite-Dimensional Dynamical Systems in Mechanics and Physics / Roger Temam - xvi, 500 p. : il. ; 21 cm. - Applied mathematical sciences 68 Applied mathematical sciences Springer-Verlarg New York Inc. v. 68 .
General Introduction. The User´s guide -- General results and concepts on invariant sets and attractors -- Semigroups, Invariants sets and attractors -- Examples in Ordinary Differential Equations -- Fractal Interpolation and Attractors -- Elements of Functional Analysis -- Attractors of the Dissipative Evolution Equations of the First Order in Time: Reaction-Difusion Equations. Fluid Mechanics and Pattern Formation Equations -- Attractors of Dissipative Wave Equations -- Lyapunov Exponents and diménsions of Attractors -- Explicit Bounds on the Number of Degrees of Freedom and the Dimension of Attractors of Some Physical Systems Non-Well-Posed Problems, Unstable Manifolds, Lyapunov Functions, and Lower Bounds on Dimensions -- The Cone and Squeezing Properties. Inertial Manifolds -- Appendix: collective Sobolev Inequalities -- Bibliography
0-387-96638-2 -- 3-540-96638-2
Differentiable dynamical systems
Boundary value problems
Nonlinear theories
Differential equations--applied mathematics
Sistemas dinamicos diferenciales
Problemas de valors de contorno
Teorias no lineales
Ecuaciones diferenciales--matematica aplicada
515.352 / T278i