21 citations · 22 across the 4 of their papers we have counts for
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On formation of singularity for non-isentropic Navier-Stokes equations without heat-conductivity
Xiangdi Huang, Zhouping Xin
It is known that smooth solutions to the non-isentropic Navier-Stokes equations without heat-conductivity may lose their regularities in finite time in the presence of vacuum. Howe…
Existence and uniqueness of weak solutions of the compressible spherically symmetric Navier-Stokes equations
Xiangdi Huang
One of the most influential fundamental tools in harmonic analysis is Riesz transform. It maps functions to functions for any which plays an important…
Global solvability of 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
Xiangdi Huang, Yun Wang
In this paper, we consider the three-dimensional inhomogeneous Navier-Stokes equations with density-dependent viscosity in presence of vacuum over bounded domains. Global-in-time u…
Existence and Blowup Behavior of Global Strong Solutions to the Two-Dimensional Baratropic Compressible Navier-Stokes System with Vacuum and Large Initial Data
Xiangdi Huang, Jing Li
For periodic initial data with initial density allowed to vanish, we establish the global existence of strong and weak solutions for the two-dimensional compressible Navier-Stokes…