Vol. 10, No. 4, 2015

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ISSN: 1559-3959
On Cesàro means of energy in micropolar thermoelastic diffusion theory

Marin Marin and Samy Refahy Mahmoud

Vol. 10 (2015), No. 4, 497–518
Abstract

This paper is dedicated to the theory of thermoelasticity of micropolar diffusion. For the mixed initial boundary value problem defined in this context, we prove that the Cesàro means of the kinetic and strain energies of a solution with finite energy become asymptotically equal as time tends to infinity.

Keywords
Cesàro mean, micropolar, thermoelastic diffusion, equipartition, kinetic energy, strain energy
Milestones
Received: 8 April 2015
Accepted: 5 August 2015
Published: 28 September 2015
Authors
Marin Marin
Department of Mathematics and Computer Sciences
Transilvania University of Braşov
Strada Universităţii 1
500068 Braşov
Romania
Samy Refahy Mahmoud
Department of Mathematics
Faculty of Science
King Abdul Azis University
21589 Jeddah
Saudi Arabia
Department of Mathematics
Sohag University
Nasr City Eastern avenue
Sohag
82524
Egypt