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math.AP2026

Global Well-posedness of Strong Solutions to the Cauchy Problem of 2D Nonhomogeneous Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum

Bing Yuan, Rong Zhang, Peng Zhou

This paper is concerned with the Cauchy problem for the modified two-dimensional (2D) nonhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity. By ful…

math.AP2025

Global strong solution of the 3D compressible liquid crystal flows with density-dependent viscosity and large velocity

Jiaxu Li, Yu Mei, Rong Zhang

This paper concerns the Cauchy problem of three-dimensional compressible liquid crystal flows with density-dependent viscosity. When the viscosity coefficients

math.AP2024

Global strong solution of the 3D inhomogeneous liquid crystal flows with density-dependent viscosity and large velocity

Jiaxu Li, Yu Mei, Rong Zhang

This paper concerns the initial boundary value problem of three-dimensional inhomogeneous incompressible liquid crystal flows with density-dependent viscosity. When the viscosity c…

math.AP2024

Global large strong solutions to the compressible Navier-Stokes equations with density-dependent viscosities, case I: isentropic flows

Xiangdi Huang, Jiaxu Li, Rong Zhang

In this paper, we consider the Cauchy problem for the three-dimensional barotropic compressible Navier-Stokes equations with density-dependent viscosities. By considering the syste…

math.AP2024

Global large strong solution of the 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity

Xiangdi Huang, Jiaxu Li, Rong Zhang

This paper concerns the Dirichlet problem of three-dimensional inhomogeneous Navier-Stokes equations with density-dependent viscosity. When the viscosity coefficient is a…