24 citations · 28 across the 2 of their papers we have counts for
2 papers
math.AP2016★ 4 cited
Wave breaking in a shallow water model
Vera Mikyoung Hur, Lizheng Tao
We prove wave breaking --- bounded solutions with unbounded derivatives --- in the nonlinear nonlocal equations which combine the dispersion relation of water waves and the nonline…
math.AP2014★ 24 cited
Wave breaking for the Whitham equation with fractional dispersion
Vera Mikyoung Hur, Lizheng Tao
We show wave breaking for the Whitham equation in a range of fractional dispersion, i.e. the solution remains bounded but its slope becomes unbounded in finite time, provided that…