4 citations · 11 across the 19 of their papers we have counts for
31 papers · 1 filter
-Unconditional well-posedness for low dispersion fractional KdV equations
Luc Molinet, Weipeng Zhu
We show that the -unconditional well-posedness, that is well-known for the KdV equation, is shared by KdV type equations with weaker dispersion. This is despite…
Global existence and blow-up for the Euler-Poincaré equations with a class of initial data
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper we investigate the Cauchy problem of d-dimensional Euler-Poincaré equations. By choosing a class of new and special initial data, we can transform this d-dimensional…
Ill-posedness issue on the Oldroyd-B model in the critical Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
It is proved in \cite[J. Funct. Anal., 2020]{AP} that the Cauchy problem for some Oldroyd-B model is well-posed in $\B^{d/p-1}_{p,1}(\R^d) \times \B^{d/p}_{p,1}(\R^d)$ with $1\leq…
Nonexistence of Hölder continuous solution for the Camassa-Holm equation in Besov spaces
Yanghai Yu, Jinlu Li, Weipeng Zhu
In the paper, we show that the continuity of the solution can not be improved to the Hölder continuity. Precisely speaking, the solution of the Camassa-Holm equation belongs to $\m…
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…