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On the Arnold stability of a solid in a plane steady flow of an ideal incompressible fluid

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Publication:1390052
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DOI10.1007/s001620050074zbMath0910.76023OpenAlexW2055304447MaRDI QIDQ1390052

D. Massart

Publication date: 26 April 1999

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001620050074


zbMATH Keywords

rotational flowtwo-dimensional problemArnold's techniqueenergy-type variational principlesufficient condition for linear stability


Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hydrodynamic stability (76E99) Incompressible inviscid fluids (76B99)


Related Items (3)

The movement of a solid in an incompressible perfect fluid as a geodesic flow ⋮ On cylinder dynamics in bounded ideal fluid flow with constant vorticity ⋮ Direct lyapunov method in nonlinear stability of complex flows




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