5 papers
Global regularity of the multi-dimensional compressible Navier-Stokes-Korteweg system with large initial data
Xiangdi Huang, Weili Meng, Xueyao Zhang
In this work, we establish the global existence of strong solutions to the 2D and 3D compressible Navier-Stokes-Korteweg system with arbitrarily large initial data on the torus. Th…
On global classical and weak solutions with arbitrary large initial data to the multi-dimensional viscous Saint-Venant system and compressible Navier-Stokes equations subject to the BD entropy condition under spherical symmetry
Xiangdi Huang, Weili Meng, Xueyao Zhang
In 1871, Saint-Venant introduced the renowned shallow water equations. Since then, for the two-dimensional viscous or inviscid shallow water equations, the global existence of smoo…
Global well-posedness for 2D compressible radially symmetric Navier-Stokes equations with swirl
Xiangdi Huang, Weili Meng
In this paper, we consider the radially symmetric compressible Navier-Stokes equations with swirl in two-dimensional disks, where the shear viscosity coefficient \(μ= \text{const}>…
Free boundary value problem for the radial symmetric compressible isentropic Navier-Stokes equations with density-dependent viscosity
Xiangdi Huang, Weili Meng, Anchun Ni
This paper is devoted to the study of free-boundary-value problem of the compressible Naiver-Stokes system with density-dependent viscosities which was first intr…
Asymptotic mean value properties for the elliptic and parabolic double phase equations
Weili Meng, Chao Zhang
We characterize an asymptotic mean value formula in the viscosity sense for the double phase elliptic equation $$ -{\rm div}(\lvert \nabla u \rvert^{p-2}\nabla u+ a(x)\lvert\nabla…