23 citations · 24 across the 5 of their papers we have counts for
7 papers
Time asymptotics, time regularity and separation rates for Navier-Stokes flows in supercritical solution classes
Zachary Bradshaw, Joshua Hudson
This paper extends the weak solution theory for the 3D Navier-Stokes equations of Barker, Seregin and Sverak from a critical setting to a supercritical setting making sure to inclu…
Determining the viscosity of the Navier-Stokes equations from observations of finitely many modes
Animikh Biswas, Joshua Hudson
In this work, we ask and answer the question: when is the viscosity of a fluid uniquely determined from spatially sparse measurements of its velocity field? We pose the question ma…
Dynamically learning the parameters of a chaotic system using partial observations
Elizabeth Carlson, Joshua Hudson, Adam Larios +3
Motivated by recent progress in data assimilation, we develop an algorithm to dynamically learn the parameters of a chaotic system from partial observations. Under reasonable assum…
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…
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…
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),…