Abstract
We prove instability of stationary solutions of the Navier-Stokes equations on the domain [0,2π]×[0,2π] with periodic boundary condition for a class of external forces for large Reynolds number. Moreover, we give a lower bound for the hausdorff dimension of the global attractors.
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Communicated by J. L. Lebowitz
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Liu, V.X. Instability for the Navier-Stokes equations on the 2-dimensional torus and a lower bound for the hausdorff dimension of their global attractors. Commun.Math. Phys. 147, 217–230 (1992). https://doi.org/10.1007/BF02096584
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DOI: https://doi.org/10.1007/BF02096584