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arXiv · 1410.1570

Wave breaking for the Whitham equation with fractional dispersion

Vera Mikyoung Hur·Lizheng Tao
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Abstract

We show wave breaking for the Whitham equation in a range of fractional dispersion, i.e. the solution remains bounded but its slope becomes unbounded in finite time, provided that the initial datum is sufficiently steep.

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Vera Mikyoung Hur, Lizheng Tao. 2014-10-06. Wave breaking for the Whitham equation with fractional dispersion. https://doi.org/10.1088/0951-7715%2F27%2F12%2F2937

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