一维可压缩量子Navier-Stokes方程组解的爆破  

Blowup of Solutions to One-Dimensional Compressible Quantum Navier-Stokes Equations

作　　者：董建伟 朱军辉 薛红霞 DONG Jianwei;ZHU Junhui;XUE Hongxia(College of Science,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院理学院,郑州450015

出　　处：《吉林大学学报（理学版）》2018年第4期888-892,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11501525);河南省杰出青年基金(批准号:2018JQ0004);河南省高等学校青年骨干教师资助计划项目(批准号:2013GGJS-142);郑州航空工业管理学院青年科研基金(批准号:2015113001)

摘　　要：通过对加权动量进行估计,在一维有界区域上证明当与初始动量有关的加权泛函充分大时,可压缩量子Navier-Stokes方程组的解将在有限时刻爆破.结果表明,当初始动量充分大时,该方程组不存在这种整体时间解.By estimating the weighed momentum,we proved that the solutions to the compressible quantum Navier-Stokes equations on a one-dimensional bounded domain would blowup in a finite time when a weighed functional associated with the initial momentum was large enough.The result shows that the equations have not such global-in-time solutions when the initial momentum is large enough.

关 键 词：量子Navier-Stokes方程组 一维 爆破 

分 类 号：O175.2[理学—数学]