8 papers · 1 filter
Ill-posedness and global solution for the -equation
Yingying Guo, Weikui Ye
In this paper, we consider the Cauchy problem for the -equation. Firstly, for if and $m_{0}(x)=u_{0}(x)-u_{0xx}(x)\in L^{1}(\mathbb{…
The ill-posedness for the rotation Camassa-Holm equation in Besov space
Xi Tu, Yingying Guo
In this paper, we present a construction of and get the local ill-posedness for the rotation Camassa-Holm equation modelling the equatorial water waves…
A new result for the local well-posedness of the generalized Camassa-Holm equations in critial Besov spaces
Xi Tu, Zhaoyang Yin, Yingying Guo
This paper is devoted to studying the local well-posedness (existence,uniqueness and continuous dependence) for the generalized Camassa-Holm equations in critial Besov spaces $B^{\…
Ill-posedness for the Camassa-Holm equation in
Jinlu Li, Yanghai Yu, Yingying Guo +1
In this paper, we study the Cauchy problem for the Camassa-Holm equation on the real line. By presenting a new construction of initial data, we show that the solution map in the sm…
The continuous dependence and non-uniform dependence of the rotation Camassa-Holm equation in Besov spaces
Yingying Guo, Xi Tu
In this paper, we first establish the local well-posedness and continuous dependence for the rotation Camassa-Holm equation modelling the equatorial water waves with the weak Corio…
The well-posedness, ill-posedness and non-uniform dependence on initial data for the Fornberg-Whitham equation in Besov spaces
Yingying Guo
In this paper, we first establish the local well-posedness (existence, uniqueness and continuous dependence) for the Fornberg-Whitham equation in both supercritical Besov spaces $B…