Electron. J. Diff. Eqns., Vol. 2005(2005), No. 123, pp. 1-8.

Mixed boundary-value problems for quantum hydrodynamic models with semiconductors in thermal equilibrium

Jianwei Dong

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.

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Jianwei Dong
Department of Basic Courses
Zhengzhou Institute of Aeronautical Industry Management
Zhengzhou 450015, China
email: dongjianweiccm@163.com

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