2 papers
math.AP2026
Refined wave breaking for the generalized Fornberg-Whitham equation
Jean-Claude Saut, Yuexun Wang
This paper considers a class of non-local equations that are weakly dispersive perturbations of the inviscid Burgers equation, which includes the Fornberg-Whitham equation as a spe…
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…