### Abstract

We show that the equations of motion of an ideal fluid with a free surface due to inertial forces only can be effectively solved in the approximation of small surface angles. For almost arbitrary initial conditions the system evolves to the formation of singularities in a finite time. Three kinds of singularities are shown to be possible: the root ones for which the process of the singularity formation represents some analog of the wave breaking; singularities in the form of wedges on the interface; the floating ones associated with motion in the complex plane of the singular points of the analytical continuation of the surface shape.

Original language | English (US) |
---|---|

Pages (from-to) | 387-393 |

Number of pages | 7 |

Journal | Physics Letters A |

Volume | 182 |

Issue number | 4-6 |

DOIs | |

State | Published - Nov 22 1993 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters A*,

*182*(4-6), 387-393. https://doi.org/10.1016/0375-9601(93)90413-T

**Surface singularities of ideal fluid.** / Kuznetsov, E. A.; Spector, M. D.; Zakharov, Vladimir E.

Research output: Contribution to journal › Article

*Physics Letters A*, vol. 182, no. 4-6, pp. 387-393. https://doi.org/10.1016/0375-9601(93)90413-T

}

TY - JOUR

T1 - Surface singularities of ideal fluid

AU - Kuznetsov, E. A.

AU - Spector, M. D.

AU - Zakharov, Vladimir E

PY - 1993/11/22

Y1 - 1993/11/22

N2 - We show that the equations of motion of an ideal fluid with a free surface due to inertial forces only can be effectively solved in the approximation of small surface angles. For almost arbitrary initial conditions the system evolves to the formation of singularities in a finite time. Three kinds of singularities are shown to be possible: the root ones for which the process of the singularity formation represents some analog of the wave breaking; singularities in the form of wedges on the interface; the floating ones associated with motion in the complex plane of the singular points of the analytical continuation of the surface shape.

AB - We show that the equations of motion of an ideal fluid with a free surface due to inertial forces only can be effectively solved in the approximation of small surface angles. For almost arbitrary initial conditions the system evolves to the formation of singularities in a finite time. Three kinds of singularities are shown to be possible: the root ones for which the process of the singularity formation represents some analog of the wave breaking; singularities in the form of wedges on the interface; the floating ones associated with motion in the complex plane of the singular points of the analytical continuation of the surface shape.

UR - http://www.scopus.com/inward/record.url?scp=0038900905&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038900905&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(93)90413-T

DO - 10.1016/0375-9601(93)90413-T

M3 - Article

AN - SCOPUS:0038900905

VL - 182

SP - 387

EP - 393

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 4-6

ER -