REMARKS ON THE NONLINEAR INSTABILITY OF INCOMPRESSIBLE EULER EQUATIONS  被引量:1

REMARKS ON THE NONLINEAR INSTABILITY OF INCOMPRESSIBLE EULER EQUATIONS

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作  者:谢华朝 訾瑞昭 

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

出  处:《Acta Mathematica Scientia》2011年第5期1877-1888,共12页数学物理学报(B辑英文版)

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

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.

关 键 词:Euler equations INCOMPRESSIBLE nonlinear instability 

分 类 号:O175.2[理学—数学]

 

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