Uniform attractors for a nonautonomous extensible plate equation with a strong damping
In this paper, we study the long‐time dynamics of solutions to a nonlinear nonautonomous extensible plate equation with a strong damping. Under some suitable assumptions on the initial data, the nonlinear term and external force, we establish the existence of global solutions that generate a family...
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Veröffentlicht in: | Mathematical methods in the applied sciences 2017-07, Vol.40 (10), p.3479-3492 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper, we study the long‐time dynamics of solutions to a nonlinear nonautonomous extensible plate equation with a strong damping. Under some suitable assumptions on the initial data, the nonlinear term and external force, we establish the existence of global solutions that generate a family of processes for the problem and obtain uniform attractors corresponding to strong and weak symbol spaces in a bounded domain
Ω⊆Rn(n⩾1). Copyright © 2016 John Wiley & Sons, Ltd. |
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ISSN: | 0170-4214 1099-1476 |
DOI: | 10.1002/mma.4239 |