4 papers · 1 filter
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…
Sharp lifespan estimate for the compressible Euler system with critical time-dependent damping in
Lv Cai, Ning-An Lai, Wen-Ze Su
This paper concerns the long time existence to the smooth solutions of the compressible Euler system with critical time dependent damping in . We establish the sharp lifespan…
Formation of Finite Time Singularity for Axially Symmetric Magnetohydrodynamic Waves in 3-D
Lv Cai, Ning-An Lai
In this paper we study the compressible magnetohydrodynamics equations in three dimensions, which offer a good model for plasmas. Formation of singularity for C1-solution in finite…
Global existence of critical nonlinear wave equation with time dependent variable coefficients
Yi Zhou, Ning-An Lai
In this paper, we establish global existence of smooth solutions for the Cauchy problem of the critical nonlinear wave equation with time dependent variable coefficients in three s…