On the Well-Posedness of Two Boundary-Domain Integral Equation Systems Equivalent to the Dirichlet Problem for the Stokes System with Variable Viscosity

被引：1

作者：

Dagnaw, M. A. ^{[1
]}

Fresneda-Portillo, C. ^{[2
]}

机构：

[1] Injibara Univ, Dept Math, Injibara, Ethiopia

[2] Univ Loyola Andalucia, Dept Quantitat Methods, Campus Sevilla, Seville 41404, Spain

来源：

RESULTS IN MATHEMATICS | 2022年 / 77卷 / 03期

关键词：

35J25; 31B10; 45K05; 45A05; 76N20; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL-SOLUTION; ELEMENT METHOD; MIXED BVP; COEFFICIENT;

D O I：

10.1007/s00025-022-01630-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive two systems of boundary-domain integral equations (BDIEs) equivalent to the Dirichlet problem for the compressible Stokes system using the potential method with an explicit parametrix (Levi function). The BDIEs are given in terms of the surface and volume hydrodynamic potentials. The mapping properties of these integral potential operators are analysed and applied to prove existence and uniqueness of solution of the two systems of BDIEs obtained taking into account the non-trivial kernels of the single layer and hypersingular hydrodynamic surface potentials.

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页数：25

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