Rapid time-decay and net force to the obstacles by the Stokes flow in exterior domains |
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Authors: | Hideo Kozono |
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Institution: | (1) Mathematical Institute, Tohoku University, Sendai, 980-8578 Japan (e-mail:kozono@math.tohoku.ac.jp) , JP |
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Abstract: | Consider the nonstationary Stokes equations in exterior domains with the compact boundary . We show first that the solution decays like for all as . This decay rate is optimal in the sense that for some as occurs if and only if the net force exerted by the fluid on is zero.
Received: 15 June 2000 / Published online: 18 June 2001 |
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Keywords: | Mathematics Subject Classification (2000): 35Q10 |
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