Phragmén-Lindelöf Alternative Results for the Initial Boundary Problem of Stokes Equation

Cai Chongxi; Lin Changhao

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(8): 689-698

Cai Chongxi, Lin Changhao. Phragmén-Lindelöf Alternative Results for the Initial Boundary Problem of Stokes Equation[J]. Applied Mathematics and Mechanics, 1996, 17(8): 689-698.

Citation:

Cai Chongxi, Lin Changhao. Phragmén-Lindelöf Alternative Results for the Initial Boundary Problem of Stokes Equation[J]. Applied Mathematics and Mechanics, 1996, 17(8): 689-698.

Citation:

Cai Chongxi, Lin Changhao. Phragmén-Lindelöf Alternative Results for the Initial Boundary Problem of Stokes Equation[J]. Applied Mathematics and Mechanics, 1996, 17(8): 689-698.

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Phragmén-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 Date: 1995-05-17
Publish Date: 1996-08-15

Abstract

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 solutionof the initial boundary problem must either grow exponentially or decay exponentially wilh 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 and present a method for obtaining explicit bounds for the total energy.
- Stokes equation,
- initial boundary problem,
- phragmen-Lindelöf alternative theorem,
- estimate of energy dissipation

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References(9)

References

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