ON THE ARNOLD STABILITY-CRITERION FOR STEADY-STATE FLOWS OF AN IDEAL FLUID

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ROUCHON, P
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O3 [力学];
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08 ; 0801 ;
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It is proved that, in contrast to the 2-D case, the sufficient Arnold stability criterion for steady-state solutions of the incompressible Euler equations is never satisfied when 3-D perturbations are considered.
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页码:651 / 661
页数:11
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