Finite and infinite dimensional attractors for evolution equations of mathematical physics
著者
書誌事項
Finite and infinite dimensional attractors for evolution equations of mathematical physics
(GAKUTO international series, . Mathematical sciences and applications ; v. 33)
Gakkotosho, c2010
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注記
Includes bibliographical references (p. 231-234) and index
内容説明・目次
目次
- 1 Global attractors for autonomous evolution equations(Kolmogorov e‐entropy and its asymptotics in functional spaces;Global attractors and finite dimensional reduction ほか)
- 2 Homogenization of attractors:autonomous and non‐autonomous reaction‐diffusion systems(Upper semicontinuity of non‐homogenized attractors:spatially oscillating almost‐periodic media;Error estimates between non‐homogenized and homogenized attractors:spatially oscillating periodic case ほか)
- 3 Exponential attractors for evolution equations in Banach spaces(Exponential attractors for autonomous systems;Perturbation of exponential attractors:autonomous case ほか)
- 4 Global and exponential attractors in unbounded domains(Functional spaces related to unbounded domains;A priori estimates,existence and uniqueness of solutions ほか)
- 5 Long‐time dynamics of solutions of 4th order equations(The finite dimensional global attractor for a Cahn‐Hilliard type system:supercritical case with Dirichlet boundary conditions;The finite dimensional global attractor for a Cahn‐Hilliard type system:supercritical case with Neumann boundary conditions ほか)
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