Regular global attractors for wave equations with degenerate memory

2016/06/20 by Joseph L. Shomberg, Shomberg, Joseph L.
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1606.06202

arxiv created 2018/04/27 · arxiv updated 2018/04/30

Abstract

We consider the wave equation with degenerate viscoelastic dissipation recently examined in Cavalcanti, Fatori, and Ma, Attractors for wave equations with degenerate memory, J. Differential Equations (2016). Under some additional assumptions, we show the existence of a compact absorbing set. This result provides further regularity for the global attractor and shows that it consists of regular solutions.

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