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
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