Abstract
We prove the existence of both local and global smooth solutions to the Cauchy problem in the whole space and the periodic problem in the n-dimensional torus for the incompressible viscoelastic system of Oldroyd-B type in the case of near- equilibrium initial data. The results hold in both two- and three-dimensional spaces. The results and methods presented in this paper are also valid for a wide range of elastic complex fluids, such as magnetohydrodynamics, liquid crystals, and mixture problems.
Original language | English (US) |
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Pages (from-to) | 371-398 |
Number of pages | 28 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 188 |
Issue number | 3 |
DOIs | |
State | Published - Jun 2008 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering