| PHRAGMEN－LINDELOF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION |
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| 引用本文： | 蔡崇喜,林长好.PHRAGMEN－LINDELOF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION[J].应用数学和力学(英文版),1996(8). |
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| 作者姓名： | 蔡崇喜 林长好 |
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| 作者单位： | Cai Chongxi; Lin Changhao(Zhongshan University，Guangzhou 510275，P. R. China)(South China Normal University，Guangzhou 510631，P. R China) |
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| 摘 要： | ＰＨＲＡＧＭＥＮ－ＬＩＮＤＥＬＯＦＡＬＴＥＲＮＡＴＩＶＥＲＥＳＵＬＴＳＦＯＲＴＨＥＩＮＩＴＩＡＬＢＯＵＮＤＡＲＹＰＲＯＢＬＥＭＯＦＳＴＯＫＥＳＥＱＵＡＴＩＯＮＣａｉＣｈｏｎｇｘｉ（蔡崇喜）ＬｉｎＣｈａｎｇｈａｏ（林长好）（ＺｈｏｎｇｓｈａｎＵｎｉｖｅ...
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PHRAGMEN-LINDELOF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION |
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| Cai Chongxi, Lin Changhao.PHRAGMEN-LINDELOF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION[J].Applied Mathematics and Mechanics(English Edition),1996(8). |
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| Authors: | Cai Chongxi Lin Changhao |
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| Abstract: | In this paper we prove Phragmen-Lindelof type alternative.for foe initial boundaryproblem of Stokes equation, i. e. we show that the energy expression for the solutionof the initial boundary problem must either grow exponentially or decay exponentiallywilh axial distance from the end of a semi-infinite strip. For the case of decay, we alsoestablish the pointwise estimate for the maximum module of the Stokes .flow andpresent a method for obtaining explicit bounds for the total energy. |
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| Keywords: | Stokes equation initial boundary problem phragmen-Lindelofalternative theorem estimate of energy dissipation |
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