3 papers
math.AP2020
On the modified fractional Korteweg-de Vries and related equations
C. Klein, J. -C. Saut, Yuexun Wang
We consider in this paper modified fractional Korteweg-de Vries and related equations (modified Burgers-Hilbert and Whitham). They have the advantage with respect to the usual frac…
math.AP2020
Global dynamics of the generalized fifth-order KdV equation with critical nonlinearity
Yuexun Wang
We prove global existence and modified scattering for the solutions of the generalized fifth-order KdV equation with critical nonlinearity for small and localized initial data. The…
math.AP2018
Formation of Singularities of Spherically Symmetric Solutions to the 3D Compressible Euler Equations and Euler-Poisson Equations
Hai-Liang Li, Yuexun Wang
By introducing a new averaged quantity with a fast decay weight to perform Sideris's argument (Commun Math Phys, 1985) developed for the Euler Equations, we extend the formation of…