148 research outputs found
Global Regular Solutions to a Kelvin-Voigt Type Thermoviscoelastic System
A classical 3-D thermoviscoelastic system of Kelvin-Voigt type is considered.
The existence and uniqueness of a global regular solution is proved without
small data assumption. The existence proof is based on the successive
approximation method. The crucial part constitute a priori estimates on an
arbitrary finite time interval, which are derived with the help of the theory
of anisotropic Sobolev spaces with a mixed norm.Comment: 52 page
- …