Title Analysis of Boundary-Domain Integral Equations to the mixed BVP for a compressible stokes system with variable viscosity.
Authors FRESNEDA PORTILLO, CARLOS, Mikhailov, SE
External publication Si
Means Commun. Pure Appl. Anal.
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 1
JCR Impact 1.10500
SJR Impact 0.99700
Web https://www.aimsciences.org/article/doi/10.3934/cpaa.2019137
Publication date 01/01/2019
ISI 000470782600009
DOI 10.3934/cpaa.2019137
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-Domain 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.
Keywords Compressible Stokes system; variable viscosity; boundary-domain integral equations; parametrix; boundary value problem
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