Infinite-Dimensional Dynamical Systems in Mechanics and Physics: Applied Mathematical Sciences

Author: Roger Temam
Publisher: Springer New York
Category: Algebra, Groups & Group Theory, Calculus & Mathematical Analysis, Physics Books, Statistical Physics, Mathematical Physics
Book Format: Paperback

 

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.
 

 

Table Of Contents

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.

 

SKU BK-9781461268536
Barcode # 9781461268536
Brand Springer New York
Artist / Author Roger Temam
Shipping Weight 0.5000kg
Shipping Width 0.350m
Shipping Height 0.020m
Shipping Length 0.235m
Assembled Length 1.550m
Assembled Height 35.000m
Assembled Width 235.000m
Type Paperback

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