Wave breaking and shock waves for a periodic shallow water equation.
نویسنده
چکیده
This paper is devoted to the study of a recently derived periodic shallow water equation. We discuss in detail the blow-up scenario of strong solutions and present several conditions on the initial profile, which ensure the occurrence of wave breaking. We also present a family of global weak solutions, which may be viewed as global periodic shock waves to the equation under discussion.
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ورودعنوان ژورنال:
- Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
دوره 365 1858 شماره
صفحات -
تاریخ انتشار 2007