5 papers
On the large-time behavior of strong solutions to the generalized compressible Navier-Stokes-Korteweg system in 2D and 3D for arbitrarily large initial data
Xiangdi Huang, Weili Meng
In this paper, we establish the global existence and large-time behavior of strong solutions for the two- and three-dimensional periodic compressible Navier-Stokes-Korteweg system…
Global-in-time strong solutions for the 2D and 3D generalized compressible Navier-Stokes-Korteweg system with arbitrarily large initial data
Yongteng Gu, Xiangdi Huang, Weili Meng +1
In 1901, Korteweg formulated a constitutive equation for the Cauchy stress tensor to provide a continuum mechanical model for capillarity within fluids. Dunn and Serrin [Arch. Rati…
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}…