<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The aim of our paper is the study of the spatial evolution of vibrations in the context of Thermoelasticity without energy dissipation for dipolar bodies. Once we get an a priori estimate for the amplitude of the vibration, which are assumed being harmonic in time, it is possible to predict some spatial decay or growth properties for the amplitude, provided the frequency of vibration is greater than a certain critical value.</p></abstract>

The aim of our paper is the study of the spatial evolution of vibrations in the context of Thermoelasticity without energy dissipation for dipolar bodies. Once we get an a priori estimate for the amplitude of the vibration, which are assumed being harmonic in time, it is possible to predict some spatial decay or growth properties for the amplitude, provided the frequency of vibration is greater than a certain critical value.

Evolution of solutions for dipolar bodies in Thermoelasticity without energy dissipation

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The aim of our paper is the study of the spatial evolution of vibrations in the context of Thermoelasticity without energy dissipation for dipolar bodies. Once...

Evolution of solutions for dipolar bodies in Thermoelasticity without energy dissipation

Published Online: Sep 21, 2017

Page range: 57 - 82

Received: Feb 06, 2015

Accepted: Feb 10, 2015

DOI: https://doi.org/10.1515/auom-2016-0019

Keywords
dipolar bodies, energy dissipation, harmonic vibration, thermoelasticity

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Evolution of solutions for dipolar bodies in Thermoelasticity without energy dissipation

Published Online: Sep 21, 2017

Page range: 57 - 82

Received: Feb 06, 2015

Accepted: Feb 10, 2015

DOI: https://doi.org/10.1515/auom-2016-0019

Keywordsdipolar bodies, energy dissipation, harmonic vibration, thermoelasticity

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
dipolar bodies, energy dissipation, harmonic vibration, thermoelasticity