4 citations · 16 across the 42 of their papers we have counts for
6 papers · 1 filter
Non-uniform continuous dependence on initial data of solutions to the Euler-Poincaré system
Jinlu Li, Li Dai, Weipeng Zhu
In this paper, we investigate the continuous dependence on initial data of solutions to the Euler-Poincaré system. By constructing a sequence approximate solutions and calculating…
Non-uniform continuous dependence and continuous dependence for the non-resistive MHD equations
Jinlu Li, Zhaoyang Yin, Weipeng Zhu
In this paper, we establish the continuous dependence for the non-resistive MHD equations in Sobolev spaces. Our obtained result fills considerably the recent result [C. Fefferman,…
Global small solution and optimal decay rate for the Korteweg system in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper we consider the Cauchy problem to the Korteweg system with the general pressure in dimension , and establish the global well-posedness of strong solution for…
Sharp well-posedness and ill-posedness for the 3-D micropolar fluid system in Fourier-Besov spaces
Weipeng Zhu
We study the Cauchy problem of the incompressible micropolar fluid system in . In a recent work of the first author and Jihong Zhao \cite{ZhuZ18}, it is proved that…
On some large global solutions for the compressible magnetohydrodynamic system
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper we consider the global well-posedness of compressible magnetohydrodynamic system in with , in the framework of the critical Besov spaces. We can show t…
Non-uniform dependence for a generalized Degasperis-Procesi equation
Shaohui Gui, Jinlu Li, Weipeng Zhu
In the paper, we consider the Cauchy problem for a generalized Degasperis-Procesi equation. We prove that the data-to-solution map is not uniformly continuous.