activity
20032026
most citedIll-posedness of the Camassa-Holm and related equations in the critical space

110 citations · 349 across the 83 of their papers we have counts for

collaborators

83 papers

math.AP2026

Finite-time blow-up for the Geng--Xue system with an application to the three-component Degasperis--Procesi system

Song Liu, Zhaoyang Yin

We prove finite-time blow-up for the Geng--Xue system with initial data satisfying and at Sobolev regularity , where .…

math.AP2026

Existence and uniqueness of the global conservative solutions for the generalized Camassa-Holm equation with dual-power nonlinearities

Jian Chen, Xiaoxin Chen, Zhaoyang Yin

In this paper, we investigate the global conservative solutions to the generalized Camassa-Holm equation with dual-power nonlinearities. By introducing a new set of variables, we t…

math.AP2023

Persistence property and the local well-posedness of the modified Camassa-Holm equation in critical Besov equation

Zhen He, Zhaoyang Yin

In this paper, we first establish the local well-posednesss for the Cauchy problem of a modified Camassa-Holm (MOCH) equation in critical Besov spaces with $1…

math.AP2023

Generic singularity behavior of conservative solutions to the Novikov equation

Zhen He, Wei Luo, Zhaoyang Yin

In this paper, we concentrate on the Novikov equation. We provide a description of the solution in a neighborhood of each singular point.

math.AP2023

Global existence and optimal decay rate of weak solutions to some inviscid Oldroyd-B models

Wenjie Deng, Zhaonan Luo, Zhaoyang Yin

This paper is devoted to global existence and optimal decay rate of weak solutions to some inviscid Oldroyd-B models with center diffusion. By virtue of the properties of Calderon-…

math.AP2023

Large time behavior to a 2D micro-macro model for compressible polymeric fluids near equilibrium

Wenjie Deng, Wei Luo, Zhaoyang Yin

In this paper, we mainly study the large time behavior to a 2D micro-macro model for compressible polymeric fluids with small initial data. This model is a coupling of isentropic c…