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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
On the Attractor for the Semi-Dissipative Boussinesq Equations
Animikh Biswas, Ciprian Foias, Adam Larios
In this article, we study the long time behavior of solutions of a variant of the Boussinesq system in which the equation for the velocity is parabolic while the equation for the t…