Phragmen-Lindelöf alternative results for the initial boundary problem of stokes equation |
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Authors: | Cai Chongxi Lin Changhao |
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Institution: | (1) Zhongshan University, 510275 Guangzhou, P. R. China;(2) South China Normal University, 510631 Guangzhou, P. R. China |
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Abstract: | In this paper we prove Phragmén-Lindelöf type alternative for the initial boundary problem of Stokes equation, i. e. we show that the energy expression for the solution of the initial boundary problem must either grow exponentially or decay exponentially with axial distance from the end of a semi-infinite strip. For the case of decay, we also establish the pointwise estimate for the maximum module of the Stokes flow and present a method for obtaining explicit bounds for the total energy.Project supported by the National Natural Science Foundation of China and Zhongshan University Science Foundation |
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Keywords: | Stokes equation initial boundary problem phragmé n-Lindelö f alternative theorem estimate of energy dissipation |
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