32 citations · 44 across the 10 of their papers we have counts for
11 papers
Stability threshold of the Couette flow in 2D Navier-Stokes Boussinesq equations on and
Nangao Zhang, Gengwei Zhong, Ruizhao Zi
In this paper, we study the transition threshold problem for the 2D Navier-Stokes Boussinesq equations around the Couette flow with a constant background temperature in two domains…
Optimal time-decay estimates for an Oldroyd-B model with zero viscosity
Jinrui Huang, Yinghui Wang, Huanyao Wen +1
In this work, we consider the Cauchy problem for a diffusive Oldroyd-B model in three dimensions. Some optimal time-decay rates of the solutions are derived via analysis of upper a…
Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations
Lan Zeng, Zhifei Zhang, Ruizhao Zi
Consider the linear stability of the three dimensional isentropic compressible Navier-Stokes equations on . We prove the enhanced dissip…
Global solutions to the isentropic compressible Navier-Stokes equations with a class of large initial data
Daoyuan Fang, Ting Zhang, Ruizhao Zi
In this paper, we consider the global well-posedness problem of the isentropic compressible Navier-Stokes equations in the whole space with . In order to better refle…
Global solutions to the Oldroyd-B model with a class of large initial data
Daoyuan Fang, Ruizhao Zi
Consider a global wellposed problem for the incompressible Oldroyd-B model. It is shown that this set of equations admits a unique global solution provided the initial horizontal v…
Global solution to the incompressible Oldroyd-B model in hybrid Besov spaces
Ruizhao Zi
This paper is dedicated to the Cauchy problem of the incompressible Oldroyd-B model with general coupling constant $\om\in (0,1)$. It is shown that this set of equations admits a u…
Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter
Ruizhao Zi
This paper is dedicated to the global well-posedness issue of the compressible Oldroyd-B model in the whole space with . It is shown that this set of equations admits…
Global existence results for Oldroyd-B Fluids in exterior domains: The case of non-small coupling parameters
Daoyuang Fang, Matthias Hieber, Ruizhao Zi
Consider the set of equations describing Oldroyd-B fluids in an exterior domain. It is shown that this set of equations admits a unique, global solution in a certain function space…
A Blow-up Criterion for Two Dimensional Compressible Viscous Heat-Conductive Flows
Daoyuan Fang, Ruizhao Zi, Ting Zhang
We establish a blow-up criterion in terms of the upper bound of the density and temperature for the strong solution to 2D compressible viscous heat-conductive flows. The initial va…
Decay Estimates for Isentropic Compressible Navier-Stokes Equations in Bounded Domain
Daoyuan Fang, Ruizhao Zi, Ting Zhang
In this paper, under the hypothesis that is upper bounded, we construct a Lyapunov functional for the multidimensional isentropic compressible Navier-Stokes equations and show…
Incompressible Limit of the Compressible Nematic Liquid Crystal Flow
Shijin Ding, Jinrui Huang, Huanyao Wen +1
This paper is concerned with the incompressible limit of the compressible hydrodynamic flow of liquid crystals with periodic boundary conditions in R^N(N = 2, 3). It is rigorously…