Infinite-dimensional dynamical systems in mechanics and physics
著者
書誌事項
Infinite-dimensional dynamical systems in mechanics and physics
(Applied mathematical sciences, v. 68)
Springer-Verlag, c1988
- : us
- : gw
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注記
Bibliography: p. [475]-496
Includes index
内容説明・目次
内容説明
This book is the first attempt for a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics, along with other areas of science and technology. A synthetic view of the relation between infinite and finite dimensional systems is presented. Equations considered include reaction-diffusion, Navier-Stokes and other fluid mechanics equations, magnetohydrodynamics, thermohydraulics, pattern formation, Ginzburg-Landau and damped wave. The last chapter of the book introduces inertial manifolds, a subject of rapid development.
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