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20112024
most citedGlobal Strong solution with vacuum to the 2D nonhomogeneous incompressible MHD system

144 citations · 242 across the 5 of their papers we have counts for

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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…

math.AP2023

Global large strong solutions to the radially symmetric compressible Navier-Stokes equations in 2D solid balls

Xiangdi Huang, Mengluan Su, Wei Yan +1

In this paper, we consider the initial-boundary value problems of the compressible isentropic Navier-Stokes equations with density-dependent viscosity on two dimensional solid ball…

math.AP20192 cited

On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum

Xiangdi Huang

We consider the local well-posedness of strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with density containing vacuum initi…

math.AP201382 cited

Global Wellposeness for the 3D inhomogeneous incompressible Navier-Stokes equations

Walter Craig, Xiangdi Huang, Yun Wang

This paper addresses the three-dimensional Navier-Stokes equations for an incompressible fluid whose density is permitted to be inhomogeneous. We establish a theorem of global exis…