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On existence of a classical solution to a generalized Kelvin-Voigt model
Type of publication: Article
Citation:
Publication status: Published
Journal: Pacific J. of Math.
Volume: 262
Number: 1
Year: 2013
Pages: 11--33
Note: Prerint NCMM, No. 2011-016
DOI: 10.2140/pjm.2013.262.11
Abstract: We consider a two-dimensional generalized Kelvin-Voigt model describing the motion of a compressible viscoelastic body. We establish the existence of a unique classical solution to such a model in the spatially periodic setting. The proof is based on Meyers' higher integrability estimates that guarantee the Holder continuity of the gradient of displacement.
Keywords: Classical Solution, Kelvin-Voigt model, Large-data and Long-time, regularity
Authors Bulíček, Miroslav
Kaplický, Petr
Steinhauer, Mark
Added by: [MB]
Total mark: 0
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