Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping

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Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping is written by Igor Chueshov and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821841874 (ISBN 10) and 9780821841877 (ISBN 13).

The authors consider abstract nonlinear second order evolution equations with a nonlinear damping. Questions related to long time behavior, existence and structure of global attractors are studied. Particular emphasis is put on dynamics which--in addition to nonlinear dissipation-- have noncompact semilinear terms and whose energy may not be necessarily decreasing. For such systems the authors first develop a general theory at the abstract level. They then apply the general theoryto nonlinear wave and plate equations exhibiting the aforementioned characteristics and are able to provide new results pertaining to several open problems in the area of structure and properties of global attractors arising in this class of PDE dynamics.