Farwig, Reinhard ; Kanamaru, Ryo (2021):
Optimality of Serrin type extension criteria to the Navier-Stokes equations. (Publisher's Version)
In: Advances in Nonlinear Analysis, 10 (1), pp. 1071-1085. De Gruyter, ISSN 2191-9496,
DOI: 10.26083/tuprints-00019237,
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Item Type: | Article |
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Origin: | Secondary publication via sponsored Golden Open Access |
Status: | Publisher's Version |
Title: | Optimality of Serrin type extension criteria to the Navier-Stokes equations |
Language: | English |
Abstract: | We prove that a strong solution u to the Navier-Stokes equations on (0, T) can be extended if either u ∈ L θ (0, T; U˙ −α ∞,1/θ,∞) for 2/θ + α = 1, 0 < α < 1 or u ∈ L 2 (0, T; V˙ 0 ∞,∞,2 ) , where U˙ s p,β,σ and V˙ s p,q,θ are Banach spaces that may be larger than the homogeneous Besov space B˙ s p,q. Our method is based on a bilinear estimate and a logarithmic interpolation inequality. |
Journal or Publication Title: | Advances in Nonlinear Analysis |
Volume of the journal: | 10 |
Issue Number: | 1 |
Publisher: | De Gruyter |
Classification DDC: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
Divisions: | 04 Department of Mathematics > Analysis |
Date Deposited: | 30 Jul 2021 08:07 |
Last Modified: | 30 Jul 2021 08:07 |
DOI: | 10.26083/tuprints-00019237 |
Corresponding Links: | |
URN: | urn:nbn:de:tuda-tuprints-192377 |
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/19237 |
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