On a mixed Stokes problem with variable viscosity in the 2D exterior domain (Q6609914)
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scientific article; zbMATH DE number 7917948
| Language | Label | Description | Also known as |
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| English | On a mixed Stokes problem with variable viscosity in the 2D exterior domain |
scientific article; zbMATH DE number 7917948 |
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On a mixed Stokes problem with variable viscosity in the 2D exterior domain (English)
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24 September 2024
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The author gives an overview of boundary-domain integral equations for the mixed boundary value problem for a compressible Stokes system of partial differential equations with variable viscosity in the two-dimensional unbounded simply-connected exterior domain with simply-connected boundary. A parametrix is used to reduce this problem to some direct segregated boundary-domain integral equations. The equivalence of the original and the obtained problems is studied in weighted Sobolev spaces. The ``third Green identities'' are proved. The main theorem states the equivalence of the problems and uniqueness of solutions.\N\NFor the entire collection see [Zbl 1537.35005].
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compressible Stokes equations
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boundary-domain integral equation
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single/double-layer potential
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equivalence theorem
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uniqueness
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parametrix
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weighted Sobolev space
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