1 citations · 1 across the 2 of their papers we have counts for
3 papers
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.AP2018
Parameter Recovery and Sensitivity Analysis for the 2D Navier-Stokes Equations Via Continuous Data Assimilation
Elizabeth Carlson, Joshua Hudson, Adam Larios
We study a continuous data assimilation algorithm proposed by Azouani, Olson, and Titi (AOT) in the context of an unknown Reynolds number. We determine the large-time error between…
math.AP2017
Space and time analyticity for inviscid equations of fluid dynamics
Animikh Biswas, Joshua Hudson
We show that solutions to a large class of inviscid equations, in Eulerian variables, extend as holomorphic functions of time, with values in a Gevrey class (thus space-analytic),…