Remarks on time dependent periodic Navier-Stokes flows on a two-dimensional torus
Remarks on time dependent periodic Navier-Stokes flows on a two-dimensional torus
This note is a continuation of the earlier paper [Chen, Z. M., Price, W. G.: Time dependent periodic Navier–Stokes flows on a two-dimensional torus. Commun. Math. Phys. {\bf 179}, 577–597 (1996)], where the evidences of the occurrence for the time dependent periodic Navier–Stokes flows were found based on a combination of analysis and computation. This investigation is now confirmed via rigorous analysis. The existence of the time dependent periodic Navier–Stokes flows on a two-dimensional torus is proved
81-106
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W. Geraint
b7888f47-e3fc-46f4-9fb9-7839052ff17c
November 1999
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W. Geraint
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Chen, Zhi-Min and Price, W. Geraint
(1999)
Remarks on time dependent periodic Navier-Stokes flows on a two-dimensional torus.
Communications in Mathematical Physics, 207 (1), .
(doi:10.1007/s002200050719).
Abstract
This note is a continuation of the earlier paper [Chen, Z. M., Price, W. G.: Time dependent periodic Navier–Stokes flows on a two-dimensional torus. Commun. Math. Phys. {\bf 179}, 577–597 (1996)], where the evidences of the occurrence for the time dependent periodic Navier–Stokes flows were found based on a combination of analysis and computation. This investigation is now confirmed via rigorous analysis. The existence of the time dependent periodic Navier–Stokes flows on a two-dimensional torus is proved
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Published date: November 1999
Organisations:
Fluid Structure Interactions Group
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Local EPrints ID: 204459
URI: http://eprints.soton.ac.uk/id/eprint/204459
ISSN: 0010-3616
PURE UUID: e504e586-446e-41a8-8e3e-f46f41c613fb
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Date deposited: 30 Nov 2011 14:20
Last modified: 02 Jun 2025 17:03
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Zhi-Min Chen
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