63 citations · 79 across the 7 of their papers we have counts for
8 papers
Global well-posedness of the Cauchy problem for the modified Whitham equations
Han Cui, Yuexun Wang, Zhouping Xin
This paper aims to show global existence and modified scattering for the solutions of the Cauchy problem to the modified Whitham equations for small, smooth and localized initial d…
Non-existence of classical solutions to a two-phase flow model with vacuum
Hai-Liang Li, Yuexun Wang, Yue Zhang
In this paper, we study the well-posedness of classical solutions to a two-phase flow model consisting of the pressureless Euler equations coupled with the isentropic compressible…
On the vacuum free boundary problem of the viscous Saint-Venant system for shallow water in two dimensions
Hai-Liang Li, Yuexun Wang, Zhouping Xin
In this paper, we establish the local-in-time well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow water in two…
Well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow waters
Hai-Liang Li, Yuexun Wang, Zhouping Xin
We establish the local-in-time well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow waters derived rigorously fr…
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…
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…
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…
Non-Existence of Classical Solutions with Finite Energy to the Cauchy Problem of the Compressible Navier-Stokes Equations
Hailiang Li, Yuexun Wang, Zhouping Xin
In this paper, we investigate the well-posedess of classical solutions to the Cauchy problem of Navier-Stokes equations,and prove that the classical solution with finite energy doe…