Some qualitative results for the linear theory of binary mixtures of thermoelastic solids.

F. Martínez; R. Quintanilla

Collectanea Mathematica (1995)

  • Volume: 46, Issue: 3, page 263-277
  • ISSN: 0010-0757

Abstract

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In this paper we study the linear thermodynamical problem of mixtures of thermoelastic solids. We use some results of the semigroup theory to obtain an existence theorem for the initial value problem with homogeneous Dirichlet boundary conditions. Continuous dependence of solutions upon the initial data and body forces is also established. We finish with a study of the asymptotic behavior of solutions of the homogeneous problem.

How to cite

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Martínez, F., and Quintanilla, R.. "Some qualitative results for the linear theory of binary mixtures of thermoelastic solids.." Collectanea Mathematica 46.3 (1995): 263-277. <http://eudml.org/doc/40084>.

@article{Martínez1995,
abstract = {In this paper we study the linear thermodynamical problem of mixtures of thermoelastic solids. We use some results of the semigroup theory to obtain an existence theorem for the initial value problem with homogeneous Dirichlet boundary conditions. Continuous dependence of solutions upon the initial data and body forces is also established. We finish with a study of the asymptotic behavior of solutions of the homogeneous problem.},
author = {Martínez, F., Quintanilla, R.},
journal = {Collectanea Mathematica},
keywords = {Estudio termodinámico; Termoelasticidad; Ecuaciones diferenciales lineales; Ecuaciones diferenciales en derivadas parciales; Estado sólido; Mezclas binarias; semigroup theory; existence theorem; initial value problem; homogeneous Dirichlet boundary conditions; asymptotic behavior},
language = {eng},
number = {3},
pages = {263-277},
title = {Some qualitative results for the linear theory of binary mixtures of thermoelastic solids.},
url = {http://eudml.org/doc/40084},
volume = {46},
year = {1995},
}

TY - JOUR
AU - Martínez, F.
AU - Quintanilla, R.
TI - Some qualitative results for the linear theory of binary mixtures of thermoelastic solids.
JO - Collectanea Mathematica
PY - 1995
VL - 46
IS - 3
SP - 263
EP - 277
AB - In this paper we study the linear thermodynamical problem of mixtures of thermoelastic solids. We use some results of the semigroup theory to obtain an existence theorem for the initial value problem with homogeneous Dirichlet boundary conditions. Continuous dependence of solutions upon the initial data and body forces is also established. We finish with a study of the asymptotic behavior of solutions of the homogeneous problem.
LA - eng
KW - Estudio termodinámico; Termoelasticidad; Ecuaciones diferenciales lineales; Ecuaciones diferenciales en derivadas parciales; Estado sólido; Mezclas binarias; semigroup theory; existence theorem; initial value problem; homogeneous Dirichlet boundary conditions; asymptotic behavior
UR - http://eudml.org/doc/40084
ER -

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