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Blow-up of solutions to quantum hydrodynamic models in half space.
- Source :
-
Journal of Mathematical Physics . 2017, Vol. 58 Issue 3, p1-11. 11p. - Publication Year :
- 2017
-
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]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 58
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 122305891
- Full Text :
- https://doi.org/10.1063/1.4978331