PHRAGMEN-LINDELÖF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (8): 729-739.

PHRAGMEN-LINDELÖF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION

蔡崇喜¹, 林长好²

1. Zhongshan University, Guangzhou 510275, P. R. China;
2. South China Normal University, Guangzhou 510631, P. R. China

收稿日期:1995-05-17 出版日期:1996-08-18 发布日期:1996-08-18
基金资助:
Project supported by the National Natural Science Foundation of China and Zhongshan University Science Foundation

PHRAGMEN-LINDELÖF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION

Cai Chongxi¹, Lin Changhao²

1. Zhongshan University, Guangzhou 510275, P. R. China;
2. South China Normal University, Guangzhou 510631, P. R. China

Received:1995-05-17 Online:1996-08-18 Published:1996-08-18
Supported by:
Project supported by the National Natural Science Foundation of China and Zhongshan University Science Foundation

摘要/Abstract

摘要： In this paper we prove Phragmen-Lindelöf 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.

关键词: Stokes equation, initial boundary problem, phragmen-Lindelöf alternative theorem, estimate of energy dissipation

Abstract: In this paper we prove Phragmen-Lindelöf 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.

Key words: Stokes equation, initial boundary problem, phragmen-Lindelöf alternative theorem, estimate of energy dissipation

蔡崇喜;林长好. PHRAGMEN-LINDELÖF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(8): 729-739.

Cai Chongxi;Lin Changhao. PHRAGMEN-LINDELÖF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(8): 729-739.

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PHRAGMEN-LINDELÖF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION

PHRAGMEN-LINDELÖF ALTERNATIVE RESULTS FOR THE INITIAL BOUNDARY PROBLEM OF STOKES EQUATION

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