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math.AP2024
Global weak solutions with higher regularity to the compressible Navier-Stokes equations under Dirichlet boundary conditions
Xiangdi Huang, Zhouping Xin, Wei Yan
In this manuscript, we aim to establish global existence of weak solutions with higher regularity to the compressible Navier-Stokes equations under no-slip boundary conditions. Tho…
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 po…