Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839817 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 11 Pages |
Abstract
In this paper, we consider a nonlinear evolution equation which models the propagation of surface waves of moderate amplitude in shallow water regime. We first prove the existence of the low regularity solutions for the Cauchy problem of this equation. Then we discuss the initial profiles under which the solutions of this equation blow up in finite time.
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Authors
Xingxing Liu, Jingjing Liu,