G. Koch

activity

20072022

most citedBlow-up of critical Besov norms at a potential Navier-Stokes singularity

64 citations · 240 across the 12 of their papers we have counts for

collaborators

Showing 2021 · math.APShow all

2 papers · 2 filters

math.AP2021

Notions of solution and weak-strong uniqueness criteria for the Navier-Stokes equations in Lorentz spaces

Joseph P. Davies, Gabriel S. Koch

For initial data $f \in L^{2} (R^{n})$ ( $n \geq 2$ ), we prove that if $p \in (n, \infty]$ , any solution $u\in L_{t}^{\infty}L_{x}^{2}\cap L_{t}^{2}H_{x}^{1}\cap L_{t}^{\frac{2p}{p…

math.AP2021

Properties of Navier-Stokes mild solutions with initial data in subcritical Lorentz spaces

Joseph P. Davies, Gabriel S. Koch

For initial data $f$ in a subcritical Lorentz space $L^{p, q} (R^{n}) ↪ B ˙_{\infty, \infty}^{- \frac{n}{p}} (R^{n})$ ( $n < p < \infty$ , $1 \leq q \leq \infty$ )…