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Zbl 1113.76079
Kohr, Mirela
Boundary value problems for a compressible Stokes system in bounded domains in $\mathbb R^n$. (English)
[J] J. Comput. Appl. Math. 201, No. 1, 128-145 (2007). ISSN 0377-0427

Summary: Some boundary value problems of Dirichlet and Neumann types associated with compressible Stokes system are studied by the theory of hydrodynamic potentials. Existence and uniqueness results as well as boundary integral representations of classical solutions are given in the case of bounded domains in $\mathbb R^n$ having compact but not connected boundaries of class $C^{1,\alpha }$, $0 < \alpha \leqslant 1$.

MSC 2000:: *76N10 Compressible fluids, general
35Q30 Stokes and Navier-Stokes equations

Keywords: fundamental solution; hydrodynamic potentials; boundary integral representations

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Zentralblatt MATH Berlin [Germany]