7 citations · 10 across the 12 of their papers we have counts for
12 papers
Norm inflation and ill-posedness for the Fornberg-Whitham equation
Jinlu Li, Xing Wu, Yanghai Yu +1
In this paper, we prove that the Cauchy problem for the Fornberg-Whitham equation is not locally well-posed in with $(s,p,r)\in (1,1+\frac1p)\times[2,\infty)\times…
Nowhere-uniform continuity of the solution map of the Camassa-Holm equation in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In the paper, we gave a strengthening of our previous work in [32] (J. Differ. Equ. 269 (2020)) and proved that the data-to-solution map for the Camassa-Holm equation is nowhere un…
Ill_posedness for a two_component Novikov system in Besov space
Xing Wu, Min Li
In this paper, we consider the Cauchy problem for a two-component Novikov system on the line. By specially constructed initial data in $B_{p, \infty}^{s-1}(\mathbb{R})…
Non-uniform dependence on initial data for the generalized Camassa-Holm-Novikov equation in Besov space
Xing Wu, Yanghai Yu, Yu Xiao
Considered in this paper is the generalized Camassa-Holm-Novikov equation with high order nonlinearity, which unifies the Camassa-Holm and Novikov equations as special cases. We sh…
Non-uniform continuity on initial data for the two-component b-family system in Besov space
Xing Wu, Cui Li, Jie Cao
In this paper, we consider the Cauchy problem of a two-component b-family system, which includes the two-component Camassa-Holm system and the two-component Degasperis-Procesi syst…
Non-uniform continuous dependence on initial data for a two_component Novikov system in Besov space
Xing Wu, Jie Cao
In this paper, we show that the solution map of the two-component Novikov system is not uniformly continuous on the initial data in Besov spaces $B_{p, r}^{s-1}(\mathbb{R})\times B…
Non-uniform continuity of the Fokas-Olver-Rosenau-Qiao equation in Besov spaces
Xing Wu
In this paper, we prove that the solution map of Fokas_Olver_Rosenau_Qiao equation (FORQ) is not uniformly continuous on the initial data in Besov spaces. Our result extends the pr…
Non-uniform continuity of the generalized Camassa-Holm equation in Besov spaces
Jinlu Li, Xing Wu, Weipeng Zhu +1
In this paper, we consider the Cauchy problem for the generalized Camassa-Holm equation proposed by Hakkaev and Kirchev (2005) \cite{Hakkaev 2005}. We prove that the solution map o…
Non-uniform dependence on initial data for the Camassa-Holm equation in the critical Besov space
Jinlu Li, Xing Wu, Yanghai Yu +1
Whether or not the data-to-solution map of the Cauchy problem for the Camassa-Holm equation and Novikov equation in the critical Besov space is not uniformly co…
Global smooth solutions of the damped Boussinesq equations with a class of large initial data
Jinlu Li, Xing Wu, Weipeng Zhu
The global regularity problem concerning the inviscid Boussinesq equations remains an open problem. In an attempt to understand this problem, we examine the damped Boussinesq equat…
Global smooth solutions of the 3D Hall-magnetohydrodynamic equations with large data
Jinlu Li, Xing Wu
In this paper, we establish the global existence to the three-dimensional incompressible Hall-MHD equations for a class of large initial data, whose norms can be arbit…
The continuous dependence for the Hal-MHD equations with fractional magnetic diffusion
Dingxing Zhong, Jinlu Li, Xing Wu
In this paper we show that the solutions to the incompressible Hall-MHD system with fractional magnetic diffusion depend continuously on the initial data in , $s…