Asymptotic energy concentration in the phase space of the weak solutions to the Navier-Stokes equations |
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Authors: | Takahiro Okabe |
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Affiliation: | Mathematical Institute, Tohoku University, Aoba, Sendai 980-8578, Japan |
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Abstract: | We study the asymptotic behavior of the energy of weak solutions of Navier-Stokes equations as t→∞. We characterize the space of the initial data which causes a concentration of the kinetic energy in the phase space. Moreover, an explicit convergence rate is obtained. |
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Keywords: | 35Q30 76D05 |
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