Electronic Journal of Differential Equations, Vol. 2005(2005), No. 123, pp. 1-8. Title: Mixed boundary-value problems for quantum hydrodynamic models with semiconductors in thermal equilibrium Author: Jianwei Dong (Zhengzhou Institute of Aeronautical Industry, China) Abstract: We show the existence of solutions for mixed boundary-value problems that model quantum hydrodynamics in thermal equilibrium. Also we find the semi-classical limit of the solutions. Submitted July 18, 2005. Published November 3, 2005. Math Subject Classifications: 35J55. Key Words: Quantum hydrodynamic; thermal equilibrium; mixed boundary value; existence; semi-classical limit.