Long-time Behavior of Second Order Evolution Equations with Nonlinear Damping (Memoirs of the American Mathematical Society) - Softcover

Chueshov, Igor; Lasiecka, Irena

Softcover

ISBN 10: 0821841874 ISBN 13: 9780821841877

Publisher: American Mathematical Society, 2008

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2008
• ISBN 10: 0821841874
• ISBN 13: 9780821841877
• Binding: Paperback
• Language: English
• Number of pages: 183