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 | |
| Added by: | [MB] |
| Total mark: | 0 |
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