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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Received: 4 August 1998 / Accepted: 9 April 1999
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Chen, ZM., Price, W. Remarks on the Time Dependent Periodic¶Navier–Stokes Flows on a Two-Dimensional Torus. Comm Math Phys 207, 81–106 (1999). https://doi.org/10.1007/s002200050719
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DOI: https://doi.org/10.1007/s002200050719