3 papers
math.AP2024
Global regularity and optimal decay estimates of large solutions to the compressible FENE system
Zhaonan Luo, Zhiying Meng, Zhaoyang Yin
In this paper, we are concerned with the compressible FENE dumbbell model. By virtue of the dissipative structure and the interpolation method, we firstly prove global regularity i…
math.NA2024
On semi-implicit schemes for the incompressible Euler equations via the vanishing viscosity limit
Xinyu Cheng, Zhaonan Luo, Sheng Wang
A new type of systematic approach to study the incompressible Euler equations numerically via the vanishing viscosity limit is proposed in this work. We show the new strategy is un…
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-…