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 2022 · math.APShow all

3 papers · 2 filters

math.AP2022

Properties of Navier-Stokes mild solutions in sub-critical Besov spaces whose regularity exceeds the critical value by $ε \in (0, 1)$

Joseph P. Davies, Gabriel S. Koch

We consider mild solutions to the Navier-Stokes initial-value problem which belong to certain ranges $Z_{p,q}^{s}(T,n):=\widetilde{L}^{1}(0,T;\dot{B}_{p,q}^{s+2}(\mathbb{R}^{n}))\c…

math.AP2022★ 3 cited

Parabolic fractal dimension of forward-singularities for Navier-Stokes and liquid crystals inequalities

Gabriel S. Koch

In 1985, V. Scheffer discussed partial regularity results for what he called solutions to the "Navier-Stokes inequality". These maps essentially satisfy the incompressibility condi…

math.AP2022★ 1 cited

Navier-Stokes blow-up rates in certain Besov spaces whose regularity exceeds the critical value by $ε \in [1, 2]$

Joseph P. Davies, Gabriel S. Koch

For a solution $u$ to the Navier-Stokes equations in spatial dimension $n \geq 3$ which blows up at a finite time $T > 0$ , we prove the blowup estimate ${\|u(t)\|}_{\dot{B}_{p,q}^{s_{p…

Properties of Navier-Stokes mild solutions in sub-critical Besov spaces whose regularity exceeds the critical value by ε∈(0,1)

Parabolic fractal dimension of forward-singularities for Navier-Stokes and liquid crystals inequalities

Navier-Stokes blow-up rates in certain Besov spaces whose regularity exceeds the critical value by ε∈[1,2]

Properties of Navier-Stokes mild solutions in sub-critical Besov spaces whose regularity exceeds the critical value by $ε \in (0, 1)$

Navier-Stokes blow-up rates in certain Besov spaces whose regularity exceeds the critical value by $ε \in [1, 2]$