Dynamic and quasi-electromagnetostatic evolution of a thermoelectromagnetoelastic body - 29/04/17

Doi : 10.1016/j.crme.2017.03.005

Christian Licht ^a,^b,^c , Somsak Orankitjaroen ^b,^c , Panumart Sawangtong ^d , Thibaut Weller ^a,^{^⁎}
^a LMGC, Université de Montpellier, UMR5508 CNRS, Montpellier, France
^b Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
^c Centre of Excellence in Mathematics, CHE, Bangkok 10400, Thailand
^d Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, 10800 Bangkok, Thailand

^⁎Corresponding author.

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Abstract

A standard technique of evolution equations in Hilbert spaces of possible states with finite energy supplies results of existence and uniqueness for the dynamic evolution of a thermoelectromagnetoelastic body and for its ‘‘quasi-electromagnetostatic approximation’’ whose relevance is established through a convergence result as a parameter, accounting for the ratio of the speed of elastic wave propagation to the celerity of the light, goes to zero.

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Keywords : Thermoelectromagnetoelasticity, Dynamic evolution, Quasi-electromagnetostatic evolution, Semi-group of linear operators, Nondimensionalization, Sensors, Actuators