Wave Breaking in the Ostrovsky-Hunter Equation
نویسندگان
چکیده
The Ostrovsky–Hunter equation governs evolution of shallow water waves on a rotating fluid in the limit of small high-frequency dispersion. Sufficient conditions for the wave breaking in the Ostrovsky–Hunter equation are found both on an infinite line and in a periodic domain. Using the method of characteristics, we also specify the blow-up rate at which the waves break. Numerical illustrations of the finite-time wave breaking are given in a periodic domain.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 42 شماره
صفحات -
تاریخ انتشار 2010