Blow-up of solutions to quantum hydrodynamic models in half space
Blow-up of solutions to quantum hydrodynamic models in half space
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DOI：
10.1063/1.4978331
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发表时间：
2017-03
影响因子：
1.3
通讯作者：
B. Guo;Guangwu Wang
中科院分区：
文献类型：
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作者：
B. Guo;Guangwu Wang
本文证明了满足适当条件的量子流体力学模型的光滑解在有限时间内在半空间内爆炸。该模型可以看作是具有量子势的可压缩欧拉方程。主要的理想是建立在能量不平等的基础上的。
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.