Well-Posedness of a kind of the free surface equation of shallow water wave
arXiv:1901.01380
Abstract
This paper is concerned with the Cauchy problem of the one-dimensional free surface equation of shallow water wave, we obtain local well-posedness of the free surface equation of shallow water wave in Sobolev spaces. In addition, we also derive a wave-breaking mechanism for strong solutions.
arXiv admin note: text overlap with arXiv:0709.0905 by other authors