On Cesàro means of energy in micropolar thermoelastic diffusion theory

Marin, Marin; Mahmoud, Samy

doi:10.2140/jomms.2015.10.497

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On Cesàro means of energy in micropolar thermoelastic diffusion theory

Marin Marin and Samy Refahy Mahmoud

Vol. 10 (2015), No. 4, 497–518

DOI: 10.2140/jomms.2015.10.497

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

Vol. 10, No. 4, 2015

Marin Marin and Samy Refahy Mahmoud

Abstract

Keywords

Milestones

Authors