Instability for the Navier-Stokes equations on the 2-dimensional torus and a lower bound for the hausdorff dimension of their global attractors |
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| Authors: | Vincent Xiaosong Liu |
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| Institution: | (1) Department of Mathematics, University of Southern California, 90089-1113 Los Angeles, CA, USA |
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| Abstract: | We prove instability of stationary solutions of the Navier-Stokes equations on the domain 0,2 ]×0,2] 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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