BDIE System in the Mixed BVP for the Stokes Equations with Variable Viscosity

S. E. Mikhailov () and C. F. Portillo ()
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S. E. Mikhailov: Brunel University London
C. F. Portillo: Brunel University London

Chapter Chapter 34 in Integral Methods in Science and Engineering, 2015, pp 401-412 from Springer

Abstract: Abstract The mixed (Dirichlet-Neumann) boundary value problem mixed boundary conditions for the steady-state Stokes system of PDEs for an incompressible viscous fluid incompressible viscous fluid with variable viscosity coefficient variable viscosity coefficient is reduced to a system of direct segregated Boundary-Domain Integral Equations (BDIEs). Mapping properties of the potential-type integral operators potential operators appearing in these equations are presented in appropriate Sobolev spaces. We also prove the equivalence between the original BVP and the corresponding BDIE system.

Keywords: Partial differential equations; Variable coefficients; Stokes boundary value problem; Localized parametrix; Localized boundary-domain integral equations (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16727-5_34

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DOI: 10.1007/978-3-319-16727-5_34

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