Nonlinear Instability in Two Dimensional Ideal Fluids: The Case of a Dominant Eigenvalue |
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| Authors: | Misha Vishik Susan Friedlander |
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| Institution: | (1) Department of Mathematics, University of Texas, Austin, TX 78712, USA;(2) Department of Mathematics, Statistics and Computer Science (M/C 249), University of Illinois at Chicago, 851 South Morgan Street, Chicago, IL 60607-7045, USA |
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| Abstract: | It is proved that any steady 2 dimensional ideal fluid flow is nonlinearly unstable with respect to L
2
growth in the velocity, provided there exists an eigenvalue  for the linearised Euler equation with Re> . Here is the maximal Lyapunov exponent of the steady flow. |
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