On spatial behavior of the solution of a non-standard problem in linear thermoviscoelasticity with voids

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Authors

  • A. Bucur Faculty of Mathematics, Alexandru Ioan Cuza University of Iasi, Romania

Abstract

In this paper we study the constrained motion of a prismatic cylinder made of a thermoviscoelastic material with voids and subjected to final given data that are proportional, but not identical, to their initial values. We show how certain cross-sectional integrals of the solution spatially evolve with respect to axial variable. Some conditions are derived upon the proportionality coefficients in order to show that the integrals exhibit alternative behavior.

Keywords:

spatial behavior, non-standard problems, growth and decay estimates, porous thermoviscoelasticity