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
Hauptverfasser: Feng, Baowei, Yang, Xin‐Guang, Qin, Yuming
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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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4239