2 citations · 7 across the 5 of their papers we have counts for
6 papers
Global dynamics and asymptotic stability for a nonlocal LANS--type system
Chunxia Guan, Kai Yan, Qianyuan Zhang
This paper is devoted to the global dynamics of a nonlocal Lagrangian-averaged Navier-Stokes- (LANS-)-type system (also known as the viscous Euler-Poincaré system) in one, tw…
On the modified multi-component Camassa-Holm system in higher dimensions
Kai Yan
This paper is devoted to the Cauchy problem for the modified multi-component Camassa-Holm system in higher dimensions. On the one hand, we establish an almost complete local well-p…
Lipschitz metric for the modified two-component Camassa-Holm system
Chunxia Guan, Kai Yan, Xuemei Wei
This paper is devoted to the existence and Lipschitz continuity of global conservative weak solutions in time for the modified two-component Camassa-Holm system on the real line. W…
Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions
Kai Yan, Zhijun Qiao, Yufeng Zhang
This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity, which includes the cubic Camassa-Holm equation (also called the Fokas-Olver-Rosena…
On the Cauchy problem for a new integrable two-component system with peakon and weak kink solutions
Kai Yan, Zhijun Qiao, Zhaoyang Yin
This paper is contributed to study the Cauchy problem of a new integrable two-component system with peaked soliton (peakon) and weak kink solutions. We first establish the local we…
On the Cauchy problem for a two-component Degasperis-Procesi system
Kai Yan, Zhaoyang Yin
This paper is concerned with the Cauchy problem for a two-component Degasperis-Procesi system. Firstly, the local well-posedness for this system in the nonhomogeneous Besov spaces…