T. Barker

activity

20152026

most citedUniqueness Results for Weak Leray-Hopf Solutions of the Navier-Stokes System with Initial Values in Critical Spaces

28 citations · 131 across the 24 of their papers we have counts for

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Showing 2015 · math.APShow all

4 papers · 2 filters

math.AP2015★ 1 cited

Local boundary regularity for the Navier-Stokes equations in nonendpoint borderline Lorentz spaces

T. Barker

We prove local regularity up to flat part of boundary, for certain classes of distributional solutions that are $L_{\infty} L^{3, q}$ with $q$ finite.

math.AP2015★ 2 cited

On blowup of nonendpoint borderline Lorentz norms for the Navier-Stokes equations

T. Barker, G. Seregin

Assuming $T$ is a potential blow up time for the Navier-Stokes system in $R^{3}$ or $R_{+}^{3}$ , we show that the $L^{3, q}$ Lorentz norm, with $q$ finite, of the veloci…

math.AP2015★ 6 cited

A necessary condition of possible blowup for the Navier-Stokes system in half-space

T. Barker, G. Seregin

Assuming that $T$ is a potential blow up time for the Navier-Stokes system in half-space, we show that $L_{3}$ -norm of the velocity field goes to $\infty$ as time t approaches $T…

math.AP2015★ 15 cited

Ancient Solutions to Navier-Stokes Equations in Half Space

T. Barker, G. Seregin

The goal of the paper is to understand properties of the so-called ancient (backward) solutions to the Navier-Stokes equations. We focus on the case of the half space.