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math.AP2025
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…
math.AP2025
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}>…