3 papers
math.AP2026
Global solutions of compressible Navier-Stokes equations with small viscosity
Lv Cai, Ning-An Lai, Zexian Zhang +1
In this paper, we study the Cauchy problem for the compressible Navier-Stokes system in . Suppose that the viscosity coefficients satisfy , and…
math.AP2026
On Global-in-time Solutions of Incompressible MHD Equations with Small Alfvén Numbers
Fei Jiang, Xiao Ren, Yi Zhou
In 1965 Kraichnan pointed out that a sufficiently strong background magnetic field, i.e. the case of small Alfvén number, will reduce the nonlinear interaction and inhibit the form…
math.AP2024
Self-dual solution of 3D incompressible Navier-Stokes equations
Ning-An Lai, Yi Zhou
Whether the 3D incompressible Navier-Stokes equations will have a global smooth solution for all smooth, finite energy initial data is a Millennium Prize problem. One of the main d…