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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^{\…
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 existence of the global entropy weak solutions for a generalized Camassa-Holm equation
Chunxia Guan, Xi Tu, Zhaoyang Yin
In this paper, we prove the existence of a global entropy weak solution and for the Cauchy problem of a…