On the formation of singularities for surface water waves

Vera Mikyoung Hur

doi:10.3934/cpaa.2012.11.1465

On the formation of singularities for surface water waves

Vera Mikyoung Hur

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A Burgers equation with fractional dispersion is proposed to model waves on the moving surface of a two-dimensional, infinitely deep water under the influence of gravity. For a certain class of initial data, the solution is shown to blow up in finite time.

Original language	English (US)
Pages (from-to)	1465-1474
Number of pages	10
Journal	Communications on Pure and Applied Analysis
Volume	11
Issue number	4
DOIs	https://doi.org/10.3934/cpaa.2012.11.1465
State	Published - Jul 2012

Keywords

Blowup
Fractional dispersion
Nonlinear nonlocal equations
Surface water waves

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2012.11.1465

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title = "On the formation of singularities for surface water waves",

abstract = "A Burgers equation with fractional dispersion is proposed to model waves on the moving surface of a two-dimensional, infinitely deep water under the influence of gravity. For a certain class of initial data, the solution is shown to blow up in finite time.",

keywords = "Blowup, Fractional dispersion, Nonlinear nonlocal equations, Surface water waves",

author = "Hur, {Vera Mikyoung}",

year = "2012",

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doi = "10.3934/cpaa.2012.11.1465",

language = "English (US)",

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KW - Nonlinear nonlocal equations

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On the formation of singularities for surface water waves

Abstract

Keywords

ASJC Scopus subject areas

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