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作     者：C.BARDOS Y.GUO W.STRAUSS 

作者机构：UniversiteDivisionDepartment Denis Diderot and LAN Universite Pierre et Marie CurieParisFrance.of Applied MathematicsBrown UniversityProvidenceRhode Island 02912U? 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2002年第23卷第2期

页      面：149-164页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Stable ideal plane flows Unstable ideal plane flows Liapunov exponent 

摘      要：The authors investigate the stability of a steady ideal plane flow in an arbitrary domain in terms of the L^2 norm of the vorticity. Linear stability implies nonlinear instability provided the growth rate of the linearized system exceeds the Liapunov exponent of the flow. In contrast,a maximizer of the entropy subject to constant energy and mass is stable. This implies the stability of certain solutions of the mean field equation.