Analysis of Boundary-Domain Integral Equations to the mixed BVP for a compressible stokes system with variable viscosity

,School Of Engineering, Computing And Mathematics, Wheatley Campus, Oxford Brookes University, Ox33 1Hx, Wheatley, Uk ,Carlos Fresneda-Portillo,,Department Of Mathematics, Brunel University London, Ub8 3Ph, Uxbridge, Uk ,Sergey E Mikhailov

doi:10.3934/cpaa.2019137

Analysis of Boundary-Domain Integral Equations to the mixed BVP for a compressible stokes system with variable viscosity

,School Of Engineering, Computing And Mathematics, Wheatley Campus, Oxford Brookes University, Ox33 1Hx, Wheatley, Uk , Carlos Fresneda-Portillo + Show 2 more

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https://doi.org/10.3934/cpaa.2019137

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Journal: Communications on Pure and Applied Analysis	Publication Date: Jan 1, 2019
Citations: 22	License type: cc-by

#System Of Partial Differential Equations #Boundary Integral Equations + Show 8 more

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Abstract

The mixed boundary value problem for a compressible Stokes system of partial differential equations in a bounded domain is reduced to two different systems of segregated direct Boundary Integral Equations (BDIEs) expressed in terms of surface and volume parametrix-based potential type operators. Equivalence of the BDIE systems to the mixed BVP and invertibility of the matrix operators associated with the BDIE systems are proved in appropriate Sobolev spaces.

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