Unique solvability of a nonlinear thermoviscoelasticity system
in Sobolev space with a mixed norm
Irena Pawłow - System Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland (email)
Abstract: In this paper we study a nonlinear thermoviscoelasticity system within the framework of parabolic theory in anisotropic Sobolev spaces with a mixed norm. The application of such a framework allows to generalize the previous results by admitting stronger thermomechanical nonlinearity and a broader class of solution spaces.
Keywords: Nonlinear thermoviscoelasticity, shape
memory, parabolic theory, anisotropic Sobolev spaces with a mixed norm.
Received: February 2009; Published: November 2010.