Null-field approach to boundary-value problems for the Stokes equation

被引:0
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作者
Olsson, Peter [1 ]
Wilde, Peter [1 ]
机构
[1] Chalmers Univ of Technology, Goeteborg, Sweden
关键词
Elasticity - Theory - Hydrodynamics - Mathematical Techniques - Boundary Value Problems - Rubber - Elasticity;
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摘要
A number of boundary-value problems for the Stokes equation are considered. The problems are solved by means of a method employing integral representation theorems. The approach is an extension of the null-field approach to problems of creeping motion and rubber elasticity. Existence and uniqueness of a solution are proved for various boundary conditions, corresponding to a number of physical problems. The L2 completeness of a certain set of functions, used for surface-field approximations, is also established.
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页码:69 / 90
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