Infinite-dimensional dynamical systems in mechanics and physics

Roger Temam

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.

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[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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この本の情報

書名 Infinite-dimensional dynamical systems in mechanics and physics
著作者等 Temam, Roger
シリーズ名 Applied mathematical sciences
出版元 Springer
刊行年月 c1997
版表示 2nd ed
ページ数 xxi, 648 p.
大きさ 25 cm
ISBN 038794866X
9781461268536
NCID BA30133710
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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