Seventh Mississippi State  UAB Conference on Differential Equations and
Computational Simulations.
Electron. J. Diff. Eqns., Conference 17 (2009), pp. 255265.
Existence of solutions for thermoelastic semiconductor equations
Xiaoqin Wu
Abstract:
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
email: xpaul_wu@yahoo.com

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