Unique solvability of a nonlinear thermoviscoelasticity system in Sobolev space with a mixed norm

Pages: 441 - 466, Volume 4, Issue 2, April 2011

doi:10.3934/dcdss.2011.4.441       Abstract        References        Full Text (447.2K)       Related Articles

Irena Pawłow - System Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland (email)
Wojciech M. Zajączkowski - Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 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.
Mathematics Subject Classification:  Primary 74B20, 35K50; Secondary 35Q72, 74F05.

Received: February 2009;      Published: November 2010.

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