5 papers
Stability threshold of the 2D Boussinesq system near Couette flow in an infinite channel
Tao Liang, Jiahong Wu, Xiaoping Zhai
In this paper, we study the stability threshold of the two-dimensional Boussinesq equations around the Couette flow in an infinite channel under no-slip…
Improved stability threshold for 2D Navier-Stokes Couette flow in an infinite channel
Tao Liang, Jiahong Wu, Xiaoping Zhai
We study the nonlinear stability of the two-dimensional Navier-Stokes equations around the Couette shear flow in the channel domain subject to Navier slip…
Large global solutions to the Oldroyd-B model with dissipation
Tao Liang, Yongsheng Li, Xiaoping Zhai
In the first part of this work, we investigate the Cauchy problem for the -dimensional incompressible Oldroyd-B model with dissipation in the stress tensor equation. By developi…
Stability threshold for two-dimensional Boussinesq systems near-Couette shear flow in a finite channel
Tao Liang, Yongsheng Li, Xiaoping Zhai
In this paper, we investigate the stability threshold problem of the two-dimensional Navier-Stokes Boussinesq(NSB) equations in a finite channel $ \T \times [-1,1]$, focusing on th…
Global well-posedness and large time behavior of solutions to the compressible Oldroyd-B model without stress diffusion
Yajuan Zhao, Yongsheng Li, Tao Liang +1
We consider the Cauchy problem () and the initial boundary values problem ()associated to the compressible Oldroyd-B model which is first…