Mikhailov, Sergey E. , FRESNEDA PORTILLO, CARLOS
No
Commun. Pure Appl. Anal
Article
Científica
1.273
0.792
01/03/2021
000627872700009
2-s2.0-85103798642
Two direct systems of Boundary-Domain Integral Equations, BDIEs, associated with a mixed boundary value problem for the stationary compressible Stokes system with variable viscosity coefficient in an exterior domain of R3 are derived. This is done by employing the Stokes surface and volume potentials based on an appropriate parametrix (Levi function) in the third Green identities for the velocity and pressure. Mapping properties of the potentials in weighted Sobolev spaces are analysed. Finally, the equivalence between the BDIE systems and the BVP is shown and the isomorphism of operators defined by the BDIE systems is proved.
Partial differential equations; Stokes system; compressibility; variable viscosity coefficient; exterior domain; parametrix; Levi function; integral potentials; boundary-domain integral equations; weighted Sobolev spaces; mathematical analysis; equivalence; isomorphism