4 citations · 16 across the 42 of their papers we have counts for
7 papers · 1 filter
Non-uniform dependence on initial data for the 2D viscous shallow water equations
Jinlu Li, Yanghai Yu, Weipeng Zhu
The failure of uniform dependence on the data is an interesting property of classical solution for a hyperbolic system. In this paper, we consider the solution map of the Cauchy pr…
Non-uniform dependence for the two-component Camassa-Holm shallow water system
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper, we consider the solution map of the initial value problem to the two-component Camassa-Holm equation on the line. We prove that the solution map of this problem is n…
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…
Non-uniform dependence for the Novikov equation in Besov spaces
Jinlu Li, Min Li, Weipeng Zhu
In this paper, we investigate the dependence on initial data of solutions to the Novikov equation. We show that the solution map is not uniformly continuous dependence on the initi…
Non-uniform dependence on initial data for the Euler equations in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In the paper, we consider the initial value problem to the higher dimensional Euler equations in the whole space. Based on the new technical which is developed in \cite{Li2}, we pr…
Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In the paper, we consider the initial value problem to the Camassa-Holm equation in the real-line case. Based on the local well-posedness result and the lifespan, we proved that th…