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Ill-posedness of the nonlinear problem of the development of Taylor instability

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Publication:1837044
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DOI10.1007/BF01094445zbMath0506.76013MaRDI QIDQ1837044

P. I. Plotnikov

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

a priori estimatesfree surfacetwo-dimensionalinfinite stripLagrangian co-ordinatesnonlinear boundary value problem for velocity potential


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydrodynamic stability (76E99)


Related Items

Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface



Cites Work

  • The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
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