Abstract
For the Cauchy problem of the one-dimensional free surface equation of shallow water waves, we obtain local well-posedness of the free surface equation of shallow water waves in Sobolev spaces. We also derive a wave-breaking mechanism for strong solutions.
Citation
Zhouyu Li. MiaoMiao Dang. "Well-posedness of a kind of the free surface equation of shallow water waves." Rocky Mountain J. Math. 50 (4) 1409 - 1423, August 2020. https://doi.org/10.1216/rmj.2020.50.1409
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