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

Released on by Igor Chueshov
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  • Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping Book Detail

  • Author : Igor Chueshov
  • Release Date : 2008
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 200
  • ISBN 13 : 0821841874
  • File Size : 18,18 MB
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Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping by Igor Chueshov PDF Summary

Book Description: 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.

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