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Global regularity for a
slightly supercritical hyperdissipative Navier–Stokes
system
David Barbato, Francesco Morandin and Marco Romito |
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Vol. 7 (2014), No. 8, 2009–2027
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Abstract |
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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. |
Keywords
Navier–Stokes, dyadic model, global existence, slightly
supercritical Navier–Stokes equations.
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Mathematical Subject Classification 2010
Primary: 76D03, 76D05
Secondary: 35Q30, 35Q35
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Milestones
Received: 24 July 2014
Accepted: 14 December 2014
Published: 5 February 2015
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Authors |
| David Barbato | |
| Dipartimento di Matematica Università di Padova Via Trieste 63 I-35121 Padova Italy |
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| Francesco Morandin | |
| Dipartimento di Matematica e
Informatica Università di Parma Parco Area delle Scienze, 53/A I-43121 Parma Italy |
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| Marco Romito | |
| Dipartimento di Matematica Università di Pisa Largo Bruno Pontecorvo 5 I-56127 Pisa Italy |
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