10 citations · 15 across the 8 of their papers we have counts for
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Linear stability of the Couette flow for the non-isentropic compressible fluid
Xiaoping Zhai
We are concerned with the linear stability of the Couette flow for the non-isentropic compressible Navier-Stokes equations with vanished shear viscosity in a domain $\mathbb{T}\tim…
Global well-posedness and inviscid limits of the generalized Oldroyd type models
Xiaoping Zhai, Yuanyuan Dan, Yongsheng Li
We obtain the global small solutions to the generalized Oldroyd-B model without damping on the stress tensor in . Our result give positive answers partially to the qu…
Global small solutions to the inviscid Hall-MHD system
Xiaoping Zhai, Yongsheng Li, Yajuan Zhao
The local existence of smooth solutions to the inviscid Hall-MHD system has been obtained since Chae, Degond and Liu [Ann. Inst. H. Poincaré Anal. Non Linéaire, {31} (2014), 555--5…
Linear stability analysis of the Couette flow for the two dimensional non-isentropic compressible Euler equations
Xiaoping Zhai
This note is devoted to the linear stability of the Couette flow for the non-isentropic compressible Euler equations in a domain . Exploiting the sever…
Long-time behavior for three dimensional compressible viscous and heat-conductive gases
Xiaoping Zhai, Zhi-Min Chen
We study the large-time behavior of solutions to the compressible Navier-Stokes equations for a viscous and heat-conductive gases in . More precisely, under a suitabl…
Optimal decay for the -dimensional incompressible Oldroyd-B model without damping mechanism
Xiaoping Zhai
By a new energy approach involved in the high frequencies and low frequencies decomposition in the Besov spaces, we obtain the optimal decay for the incompressible Oldroyd-B model…