Título On the Well-Posedness of Two Boundary-Domain Integral Equation Systems Equivalent to the Dirichlet Problem for the Stokes System with Variable Viscosity
Publicación externa No
Medio Results in Mathematics
Alcance Article
Naturaleza Científica
Cuartil JCR 1
Cuartil SJR 2
Impacto JCR 2.2
Impacto SJR 0.556
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127268224&doi=10.1007%2fs00025-022-01630-7&partnerID=40&md5=2ef00067028be83eaa10e81788e563f9
Fecha de publicacion 01/06/2022
ISI 000780372900001
Scopus Id 2-s2.0-85127268224
DOI 10.1007/s00025-022-01630-7
Abstract We derive two systems of boundary-domain integral equations (BDIEs) equivalent to the Dirichlet problem for the compressible Stokes system using the potential method with an explicit parametrix (Levi function). The BDIEs are given in terms of the surface and volume hydrodynamic potentials. The mapping properties of these integral potential operators are analysed and applied to prove existence and uniqueness of solution of the two systems of BDIEs obtained taking into account the non-trivial kernels of the single layer and hypersingular hydrodynamic surface potentials.
Palabras clave 35J25; 31B10; 45K05; 45A05; 76N20
Miembros de la Universidad Loyola

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