Seventh Mississippi State - UAB Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 17 (2009), pp. 255-265. 

Title: Existence of solutions for thermoelastic semiconductor equations

Author: Xiaoqin Wu (Mississippi Valley State Univ.,  MS, USA)
 
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.