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Journal article
Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus
Proceedings of the American Mathematical Society
17 Nov 2023
Abstract
Lei and Lin [Comm. Pure Appl. Math. 64 (2011), pp. 1297–1304] have recently given a proof of a global mild solution of the three-dimensional Navier-Stokes equations in function spaces based on the Wiener algebra. An alternative proof of existence of these solutions was then developed by Bae [Proc. Amer. Math. Soc. 143 (2015), pp. 2887–2892], and this new proof allowed for an estimate of the radius of analyticity of the solutions at positive times. We adapt the Bae proof to prove existence of the Lei-Lin solution in the spatially periodic setting, finding an improved bound for the radius of analyticity in this case.
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Details
- Title
- Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus
- Creators
- David Ambrose - Drexel UniversityMilton Lopes FilhoHelena Nussenzveig Lopes
- Publication Details
- Proceedings of the American Mathematical Society
- Publisher
- American Mathematical Society
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001110014500001
- Scopus ID
- 2-s2.0-85181907026
- Other Identifier
- 991021811621304721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied