Guorong Qu

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2025

A remark on the zero-filter limit for the Camassa-Holm equation in $B_{2, \infty}^{s} (R)$

Guorong Qu, Jianzhong Lu, Wei Deng

This paper investigates the zero-filter limit problem associated with the Camassa-Holm equation. In the work cited as \cite{C.L.L.W.L}, it was established that, under the hypothesi…

math.AP2024

Well-posedness and Continuity Properties of the Fornberg_Whitham equation in Besov space $B_{\infty, 1}^{1} (R)$

Guorong Qu, Xing Wu, Yu Xiao

For the Fornberg-Whitham equation, the local well-posedness in the critical Besov space $B_{p, 1}^{1 + \frac{1}{p}} (R)$ with $1 \leq p < \infty$ has been studied in (Guo, Nonl…

math.AP2024

The failure of Hölder regularity of solutions for the Euler-Poincaré equations in Besov spaces

Guorong Qu, Min Li

In this paper, we investigate the continuity of solution to the Euler-Poincaré equations. We show that the continuity of the solution cannot be improved to the Hölder continuity. T…

A remark on the zero-filter limit for the Camassa-Holm equation in B2,∞s​(R)

Well-posedness and Continuity Properties of the Fornberg_Whitham equation in Besov space B∞,11​(R)

The failure of Hölder regularity of solutions for the Euler-Poincaré equations in Besov spaces

A remark on the zero-filter limit for the Camassa-Holm equation in $B_{2, \infty}^{s} (R)$

Well-posedness and Continuity Properties of the Fornberg_Whitham equation in Besov space $B_{\infty, 1}^{1} (R)$