Author | Temam, Roger. author |
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Title | Infinite-Dimensional Dynamical Systems in Mechanics and Physics [electronic resource] / by Roger Temam |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1997 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0645-3 |
Descript | XXII, 650 p. online resource |
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