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math.AP2026
Global existence of classical solutions for the multi-dimensional compressible Navier-Stokes-Poisson equations on solid balls for arbitrary spherically symmetric large initial data
Jie Fan, Xiangdi Huang, Muxi Lei
Whether the 3D compressible Navier-Stokes-Poisson equations admit global classical solutions for general large initial data has long been a challenging open problem. In this paper,…
math.AP2025
Global strong solutions and asymptotic behavior for arbitrarily large initial data of the 2D compressible Navier-Stokes equations with transport entropy
Jie Fan, Xiangdi Huang
In 1995, Kazhikhov and Vaigant introduced a particular class of isentropic compressible Navier-Stokes equations with variable viscosity coefficients and, for the first time, establ…
math.AP2025
Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities
Jie Fan, Xiangdi Huang, Anchun Ni
This paper is devoted to studying the Cauchy problem for the three-dimensional isentropic compressible Navier-Stokes equations with density-dependent viscosities given by $μ=ρ^α,λ=…