|
|||||
|
|
|
|
|
|
|
|
|
On existence of a
classical solution to a generalized Kelvin–Voigt
model
Miroslav Bulíček, Petr Kaplický and Mark Steinhauer |
|
Vol. 262 (2013), No. 1, 11–33
|
Abstract |
|
We consider a two-dimensional generalized Kelvin–Voigt model describing a 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 Hölder continuity of the gradient of velocity and displacement. |
Keywords
Kelvin–Voigt model, regularity, classical solution,
large-data and long-time
|
Mathematical Subject Classification 2000
Primary: 35B65, 35Q74, 74D10
|
Milestones
Received: 19 September 2011
Revised: 8 November 2012
Accepted: 13 November 2012
Published: 27 March 2013
|
Authors |
| Miroslav Bulíček | |
| Mathematical Institute, Faculty of
Mathematics and Physics Charles University in Prague 186 75 Praha 8 Czech Republic |
|
| Petr Kaplický | |
| Department of Mathematical Analysis,
Faculty of Mathematics and Physics Charles University in Prague 186 75 Praha 8 Czech Republic |
|
| Mark Steinhauer | |
| Mathematical Institute University of Koblenz-Landau Campus Koblenz 56070 Koblenz Germany |
|
|
