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1. Blow-up of solutions to quantum hydrodynamic models in half space.

Author

Boling Guo and Guangwu Wang

Subjects
*HYDRODYNAMICS, *EULER equations, *QUANTUM potentials (Quantum mechanics), *BOUNDARY value problems, *BOHMIAN mechanics
Abstract

In this paper, we prove that any smooth solutions of quantum hydrodynamic model which satisfies suitable conditions will blow up in finite time in half space. This model can be considered as the compressible Euler equation with quantum potential. The main ideal is based on the construction of energy inequality. [ABSTRACT FROM AUTHOR]

Published
2017
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