24 citations · 29 across the 4 of their papers we have counts for
3 papers
math.AP2017★ 1 cited
Norm inflation for equations of KdV type with fractional dispersion
Vera Mikyoung Hur
We demonstrate norm inflation for nonlinear nonlocal equations, which extend the Korteweg-de Vries equation to permit fractional dispersion, in the periodic and non-periodic settin…
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…