Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
By D. Barbato, Francesco Morandin, Marco Romito. 2014
73 citations recorded by the source corpus.
We prove global existence of smooth solutions for a slightly supercritical hyperdissipative Navier--Stokes under the optimal condition on the correction to the dissipation. This proves a conjecture formulated by Tao [Tao2009].
Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/10fb700c75f719f3fb31059f6a72b1523e79cceb
How researchers see this paper
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In Applied Mathematics
- Maria Colombo
- Camillo De Lellis
- A. Massaccesi
- Terence Tao
- Sanghyuk Lee
- T. Buckmaster
- Giuseppe Mingione
- Patrick Winkert
In Computational Mechanics
- Maria Colombo
- Camillo De Lellis
- Terence Tao
- E.J. Candes
- Richard Baraniuk
- Martin J. Wainwright
- Justin K. Romberg
- David L. Donoho
In Mathematical Physics
- Maria Colombo
- Camillo De Lellis
- A. Massaccesi
- Terence Tao
- Van H. Vu
- Zihua Guo
- D. Tataru
- Carlos E. Kenig
Citations in the corpus
- The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System (2017, background): “On the periodic torus a simple proof has been given in [15] when α > 5 4 , whereas the recent papers [19] and [1] improve the case α = 5 4 allowing operators with symbols −|ξ| 5 2f(ξ) for suitable logarithmic-like f .”
- Finite time blowup for an averaged three-dimensional Navier-Stokes equation (2014, background): “28Since the initial release of this manuscript, it has been shown in [6] (see also [5]) that blowup, in fact, does not occur in this intermediate regime.”