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

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

Irena Lasiecka
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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 theory to 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.
Language
English
Pages
183
Format
Paperback
Release
August 08, 2008
ISBN 13
9780821841877

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

Irena Lasiecka
0/5 ( ratings)
Read Download
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 theory to 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.
Language
English
Pages
183
Format
Paperback
Release
August 08, 2008
ISBN 13
9780821841877

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