Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841365 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 9 Pages |
Abstract
In this paper, we consider the periodic weakly dissipative Dullin–Gottwald–Holm equation. The present work is mainly concerned with blow-up phenomena for the Cauchy problem for this new kind of equation. We apply the optimal constant to give sufficient conditions via an appropriate integral form of the initial data, which guarantee the finite-time singularity formation for the corresponding solution.
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Authors
Zhengguang Guo, Lidiao Ni,