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Evolution of solutions for dipolar bodies in Thermoelasticity without energy dissipation

Marin Marin

Marin Marin

Department of Mathematics and Computer Sciences, Transilvania University of Brasov, Bdul Iuliu Maniu, nr. 50,Brasov, Romania
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Marin, Marin
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Ibrahim Abbas

Ibrahim Abbas

  • Department of Mathematics, Faculty of Science & Arts-Khulais, King AbdulAziz University, 1384Jeddah, Saudi Arabia
  • Department of Mathematics, Faculty of Science, Sohag University, 82524Sohag, Egypt
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Abbas, Ibrahim
  
Sep 21, 2017
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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
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© 2017
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 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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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