3 papers
math.AP2026
-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…
math.AP2026
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 $\…
math.AP2025
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…