Premium
Thermoelasticity without energy dissipation of nonsimple materials
Author(s) -
Quintanilla R.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310017
Subject(s) - uniqueness , dissipation , thermoelastic damping , uniqueness theorem for poisson's equation , mathematics , energy (signal processing) , mathematical analysis , symmetry (geometry) , physics , geometry , thermal , thermodynamics , statistics
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.