Comptes Rendus
no. 5
Dynamic and quasi-electromagnetostatic evolution of a thermoelectromagnetoelastic body
Christian Licht1, 2, 3; Somsak Orankitjaroen2, 3; Panumart Sawangtong4; Thibaut Weller1 
1 LMGC, Université de Montpellier, UMR5508 CNRS, Montpellier, France
2 Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
3 Centre of Excellence in Mathematics, CHE, Bangkok 10400, Thailand
4 Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, 10800 Bangkok, Thailand
Comptes Rendus. Mécanique, Volume 345 (2017) no. 5, pp. 344-352.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2017.03.005
Keywords: Thermoelectromagnetoelasticity, Dynamic evolution, Quasi-electromagnetostatic evolution, Semi-group of linear operators, Nondimensionalization, Sensors, Actuators

Christian Licht 1, 2, 3; Somsak Orankitjaroen 2, 3; Panumart Sawangtong 4; Thibaut Weller 1

1 LMGC, Université de Montpellier, UMR5508 CNRS, Montpellier, France
2 Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
3 Centre of Excellence in Mathematics, CHE, Bangkok 10400, Thailand
4 Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, 10800 Bangkok, Thailand 
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Christian Licht; Somsak Orankitjaroen; Panumart Sawangtong; Thibaut Weller. Dynamic and quasi-electromagnetostatic evolution of a thermoelectromagnetoelastic body. Comptes Rendus. Mécanique, Volume 345 (2017) no. 5, pp. 344-352. doi : 10.1016/j.crme.2017.03.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.03.005/

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