文献类型：期刊文献

中文题名：REMARKS ON THE NONLINEAR INSTABILITY OF INCOMPRESSIBLE EULER EQUATIONS

英文题名：REMARKS ON THE NONLINEAR INSTABILITY OF INCOMPRESSIBLE EULER EQUATIONS

作者：谢华朝[1];訾瑞昭[2]

第一作者：谢华朝

机构：[1]Department of Mathematics, Henan University of Economics and Law;[2]Department of Mathematics, Zhejiang University

第一机构：河南财经政法大学数学与信息科学学院

年份：2011

卷号：31

期号：5

起止页码：1877-1888

中文期刊名：数学物理学报：B辑英文版

收录：CSTPCD;;Scopus;CSCD:【CSCD2011_2012】；

基金：supported by the NSFC (11071094);supported by the NSFC (The Youth Foundation) (10901068);CCNU Project (CCNU09A01004)

语种：中文

中文关键词：可压缩Euler方程;非线性不稳定;动力不稳定;不稳定性;能源技术;非单调;变分法;近似解

外文关键词：Euler equations; incompressible; nonlinear instability

摘要：In this paper, we consider the nonlinear instability of incompressible Euler equations. If a steady density is non-monotonic, then the smooth steady state is a nonlinear instability. First, we use variational method to find a dominant eigenvalue which is important in the construction of approximate solutions, then by energy technique and analytic method, we obtain the dynamical instability result.
In this paper, we consider the nonlinear instability of incompressible Euler equations. If a steady density is non-monotonic, then the smooth steady state is a nonlinear instability. First, we use variational method to find a dominant eigenvalue which is important in the construction of approximate solutions, then by energy technique and analytic method, we obtain the dynamical instability result.