Showing math.APShow all
2 papers · 1 filter
math.AP2026
Refined wave breaking for the one-dimensional nonlinear shallow water equations
Pingchun Liu, Jean-Claude Saut, Shihan Sun +1
This paper aims to give a refined wave breaking description of the Cauchy problem to the one-dimensional nonlinear shallow water equations providing a sharp estimate of the lifespa…
math.AP2023
Wave breaking for the generalized Fornberg-Whitham equation
Jean-Claude Saut, Shihan Sun, Yuexun Wang +1
This paper aims to show that the Cauchy problem of the Burgers equation with a weakly dispersive perturbation involving the Bessel potential (generalization of the Fornberg-Whitham…