Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
Volume 83, Issue 3, Pages 172-180Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.200310017
Keywords
thermoelasticity without energy dissipation; nonsimple theories; linear theory; logarithmic convexity; uniqueness; semigroup theory; existence
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In this article we propose a model of the nonsimple thermoelastic theory without energy dissipation. The equations of the linear theory are also obtained. Later, we obtain a uniqueness theorem for materials with a center of symmetry and an existence and uniqueness result in the general case. It is worth noting that we present two uniqueness results that apply to two different families of equations that govern the thermoelasticity without energy dissipation of nonsimple materials.
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