16 citations · 38 across the 43 of their papers we have counts for
7 papers · 2 filters
Zero-filter limit for the Camassa-Holm equation in Sobolev spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
The aim of this paper is to answer the question left in \cite{GL} (Math. Z. (2015) 281). We prove that the zero-filter limit of the Camassa-Holm equation is the Burgers equation in…
Ill-posedness of the Novikov equation in the critical Besov space
Jinlu Li, Yanghai Yu, Weipeng Zhu
It is shown that both the Camassa-Holm and Novikov equations are ill-posed in with in \cite{Guo2019} and well-pos…
Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces
Xiang Fei, Yanghai Yu, Mingwen Fei
In this paper, we give a new construction of such that the corresponding solution to the hyperbolic Keller-Segel model starting from is discontinuous…
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…
Ill-posedness issue on a multidimensional chemotaxis equations in the critical Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper, we aim to solving the open question left in [Nie, Yuan: Nonlinear Anal 196 (2020); J. Math. Anal. Appl 505 (2022)) and Xiao, Fei: J. Math. Anal. Appl 514 (2022)]. We…
Ill-posedness for the stationary Navier-Stokes equations in critical Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
This paper presents some progress toward an open question which proposed by Tsurumi (Arch. Ration. Mech. Anal. 234:2, 2019): whether or not the stationary Navier-Stokes equations i…
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…