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Crystallographic groups and homogeneous statistical solutions of navier-stokes equations

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Abstract

In this paper, we investigate the connection between crystallographic groups and homogeneous statistical solutions of Navier-Stokes equations. Several results of Foias and Temam are extended. Fluid flows invariant under crystallographic groups are studied. This idea may be of interest to the understanding of bifurcation and turbulence.

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Chen, S.S. Crystallographic groups and homogeneous statistical solutions of navier-stokes equations. J Stat Phys 29, 579–589 (1982). https://doi.org/10.1007/BF01342188

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