A BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE QUANTUM HYDRODYNAMIC MODEL

作     者：Guangwu WANG Boling GUO 王光武;郭柏灵

作者机构：School of Mathematics and Information ScienceGuangzhou UniversityGuangzhou 510006China Institute of Applied Physics and Computational MathematicsChina Academy of Engineering PhysicsBeijing 100088China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2020年第40卷第3期

页      面：795-804页

核心收录：

学科分类：080704[工学-流体机械及工程] 07[理学] 08[工学] 0807[工学-动力工程及工程热物理] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The first author is supported by the National Natural Science Foundation of China(11801107) the second author is supported by the National Natural Science Foundation of China(11731014) 

主　　题：Compressible quantum hydrodynamic model blow-up criterion strong solution 

摘      要：In this article,we focus on the short time strong solution to a compressible quantum hydrodynamic *** establish a blow-up criterion about the solutions of the compressible quantum hydrodynamic model in terms of the gradient of the velocity,the second spacial derivative of the square root of the density,and the first order time derivative and first order spacial derivative of the square root of the density.