Seventh Mississippi State - UAB Conference on Differential Equations and Computational Simulations. Electron. J. Diff. Eqns., Conference 17 (2009), pp. 255-265.

Existence of solutions for thermoelastic semiconductor equations

Xiaoqin Wu

We study a model for the semiconductor problem that consists of a system of dynamic thermoelasticity equations of displacement and semiconductor equations. This problem arises from the observation that semiconductor devices are too often cracked and broken because of the thermal stresses. Since the heat source generated by Joule heating is quadratic in the gradient of the electrical potential, this causes some problem even in analysis. We establish the existence theorem of a weak solution. The proof is based on time retarding.

Published April 15, 2009.
Math Subject Classifications: 35M10, 35Q99.
Key Words: Thermoelastic semiconductor equations; existence.

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Xiaoqin Wu
Department of Mathematics, Computer and Information Sciences
Mississippi Valley State University
Itta Bena, MS 38941, USA

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