Remarks on the Time Dependent Periodic¶Navier–Stokes Flows on a Two-Dimensional Torus |
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| Authors: | Zhi-Min Chen W. Geraint Price |
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| Affiliation: | Department of Mathematics, Tianjin University, Tianjin 300072, P.R. China. E-mail: zhimin@tju.edu.cn, CN
Department of Ship Science, Southampton University, Southampton SO17 1BJ, UK.? E-mail: geraint@ship.soton.ac.uk, UK
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| 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. Received: 4 August 1998 / Accepted: 9 April 1999 |
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