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pro vyhledávání: '"Barker, T."'
Autor:
Hegedüs, M., Banerjee, R., Hutcheson, A., Barker, T., Mahashabde, S., Danilov, A. V., Kubatkin, S. E., Antonov, V., de Graaf, S. E.
The low temperature physics of structurally amorphous materials is governed by two-level system defects (TLS), the exact origin and nature of which remain elusive despite decades of study. Recent advances towards realising stable high-coherence platf
Externí odkaz:
http://arxiv.org/abs/2408.16660
Publikováno v:
In Foot and Ankle Surgery December 2022 28(8):1177-1182
Autor:
Barker, T.
In 2016, Seregin and \u{S}ver\'ak, conceived a notion of global in time solution (as well as proving existence of them) to the three dimensional Navier-Stokes equation with $L_3$ solenoidal initial data called 'global $L_3$ solutions'. A key feature
Externí odkaz:
http://arxiv.org/abs/1703.06841
Autor:
Barker, T.
The main subject of this paper concerns the establishment of certain classes of initial data, which grant short time uniqueness of the associated weak Leray-Hopf solutions of the three dimensional Navier-Stokes equations. In particular, our main theo
Externí odkaz:
http://arxiv.org/abs/1610.08348
Continuum modelling of granular flow has been plagued with the issue of ill-posed equations for a long time. Equations for incompressible, two-dimensional flow based on the Coulomb friction law are ill-posed regardless of the deformation, whereas the
Externí odkaz:
http://arxiv.org/abs/1610.05135
Autor:
Barker, T., Seregin, G.
This paper addresses a question concerning the behaviour of a sequence of global solutions to the Navier-Stokes equations, with the corresponding sequence of smooth initial data being bounded in the (non-energy class) weak Lebesgue space $L^{3,\infty
Externí odkaz:
http://arxiv.org/abs/1603.03211
Autor:
Barker, T.
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.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/1511.00626
Autor:
Barker, T., Seregin, G.
Assuming $T$ is a potential blow up time for the Navier-Stokes system in $\mathbb{R}^3$ or $\mathbb{R}^3_+$, we show that the $L^{3,q}$ Lorentz norm, with $q$ finite, of the velocity field goes to infinity as time $t$ approaches $T$.
Comment: 15
Comment: 15
Externí odkaz:
http://arxiv.org/abs/1510.09178