Asymptotic behaviour of solutions to some pseudoparabolic equations

The aim of this paper is to investigate the behaviour as t → ∞ of solutions to the Cauchy problem u t − △ u t − v △ u − ( b , ∇ u ) = ∇ ⋅ F ( u ) , u ( x , 0 ) = u 0 ( x ) , where v > 0 is a fixed constant, t ≥ 0 , x ∈ Ω , Ω is a bounded domain in R n . We will first establish an a priori estimat...

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Veröffentlicht in:	Applied mathematics letters 2012-02, Vol.25 (2), p.111-114
Hauptverfasser:	Liu, Yan, Jiang, Weisheng, Huang, Falun
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic behaviour Asymptotic properties Boundaries Cauchy problem Dirichlet problem Estimates Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Pseudoparabolic equation Sciences and techniques of general use Uniqueness
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