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, c1997
2nd ed
- : softcover
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注記
"Softcover reprint of the hardcover 2nd edition 1998"--T.p. verso of softcover
Includes bibliographical references (p. [613]-643) and index
内容説明・目次
内容説明
In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
目次
Contents: General results and concepts on invariant sets and attractors.- Elements of functional analysis.- Attractors of the dissipative evolution equation of the first order in time: reaction-diffusion equations.- Fluid mechanics and pattern formation equations.- Attractors of dissipative wave equations.- Lyapunov exponents and dimensions 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.- New chapters: Inertial manifolds and slow manifolds the nonselfadjoint case.
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