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Exponential decay in nonsimple thermoelasticity of type III
Author(s) -
Magaña Antonio,
Quintanilla Ramón
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3472
Subject(s) - mathematics , semigroup , limiting , type (biology) , thermal conduction , mathematical analysis , heat equation , analytic semigroup , exponential function , exponential decay , exponential type , physics , thermodynamics , mechanical engineering , nuclear physics , engineering , ecology , biology
This paper deals with the model proposed for nonsimple materials with heat conduction of type III. We analyze first the general system of equations, determine the behavior of its solutions with respect to the time, and show that the semigroup associated with the system is not analytic. Two limiting cases of the model are studied later. Copyright © 2015 John Wiley & Sons, Ltd.