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| STABLE AND UNSTABLE IDEAL PLANE FLOWS |
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Citation： |
C. BARDOS,Y. GUO,W. STRAUSS.STABLE AND UNSTABLE IDEAL PLANE FLOWS[J].Chinese Annals of Mathematics B,2002,23(2):149~164 |
| Page view： 1589
Net amount： 792 |
Authors： |
C. BARDOS; Y. GUO;W. STRAUSS |
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| Abstract： |
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. |
Keywords： |
Stable ideal plane flows, Unstable ideal plane flows, Liapunov exponent |
Classification： |
35L50, 35B35 |
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