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math-ph2019★ 1 cited
Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes
Animikh Biswas, Joshua Hudson, Jing Tian
In this paper, we study existence times of strong solutions of the three-dimensional Navier-Stokes equations in time-varying analytic Gevrey classes based on Sobolev spaces $H^s, s…
math-ph2015★ 1 cited
On solutions of the 2D Navier-Stokes equations with constant energy and enstrophy
Jing Tian, Bingsheng Zhang
It is not yet known if the global attractor of the space periodic 2D Navier-Stokes equations contains nonstationary solutions such that their energy and enstrophy per unit…