37 citations · 55 across the 11 of their papers we have counts for
4 papers · 2 filters
Blow up and global existence for the periodic Phan-Thein-Tanner model
Yuhui Chen, Wei Luo, Zheng-an Yao
In this paper, we mainly investigate the Cauchy problem for the periodic Phan-Thein-Tanner (PTT) model. This model is derived from network theory for the polymeric fluid. We prove…
Blow-up phenomenon, ill-posedness and peakon solutions for the periodic Euler-Poincaré equations
Wei Luo, Zhaoyang Yin
In this paper we mainly investigate the initial value problem of the periodic Euler-Poincaré equations. We first present a new blow-up result to the system for a special class of s…
Local bifurcation of steady almost periodic water waves with constant vorticity
Wei Luo, Zhaoyang Yin
In this paper we mainly investigate the traveling wave solution of the two dimensional Euler equations with gravity at the free surface over a flat bed. We assume that the free sur…
Global existence and well-posedness for the Doi-Edwards polymer model
Wei Luo, Zhaoyang Yin
In this paper we mainly investigate the Cauchy problem of the Doi-Edwards polymer model with dimension . The model was derived in the late 1970s to describe the dynamics of…