Exponential stability in type III thermoelasticity with microtemperatures
نویسندگان
چکیده
منابع مشابه
Exponential Decay in Nonsimple Thermoelasticity of Type Iii
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.
متن کاملWell-posedness and asymptotic stability to a laminated beam in thermoelasticity of type III
In this paper, we study the well-posedness and asymptotic behaviour of solutions to a laminated beam in thermoelasticity of type III. We first give the well-posedness of the system by using the semigroup method. Then, we show that the system is exponentially stable under the assumption of equal wave speeds. Furthermore, it is proved that the system is lack of exponential stability for case of n...
متن کاملEnergy decay to Timoshenko's system with thermoelasticity of type III
L.H. Fatori a,∗, J.E. Muñoz Rivera b and R. Nunes Monteiro a a Department of Mathematics, Universidade Estadual de Londrina, Campus Universitário, Londrina, CEP 86.051-990, Paraná, Brazil E-mails: [email protected], [email protected] b National Laboratory of Scientific Computations, LNCC/MCT, Rua Getúlio Vargas 333, Quitandinha, Petrópolis, CEP 25651-070, RJ, Brazil and Instituto...
متن کاملOn (non-)exponential decay in generalized thermoelasticity with two temperatures
We study solutions for the one-dimensional problem of the Green-Lindsay and the Lord-Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained. Second, we prove the exponential stability in the Green-Lindsay model, but the nonexponential stability for the Lord-Shulman model.
متن کاملSpatial stability in linear thermoelasticity
Uniqueness and spatial stability are investigated for smooth solutions to boundary value problems in non-classical linearised and linear thermoelasticity subject to certain conditions on material coefficients. Uniqueness is derived for standard boundary conditions on bounded regions using a generalisation of Kirchhoff’s method. Spatial stability is discussed for the semi-infinite prismatic cyli...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Zeitschrift für angewandte Mathematik und Physik
سال: 2018
ISSN: 0044-2275,1420-9039
DOI: 10.1007/s00033-018-1023-9