Dagnaw, M. A. , FRESNEDA PORTILLO, CARLOS

No

Results Math.

Article

Científica

✓

✗

2.2

0.556

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127268224&doi=10.1007%2fs00025-022-01630-7&partnerID=40&md5=2ef00067028be83eaa10e81788e563f9

01/06/2022

000780372900001

2-s2.0-85127268224

10.1007/s00025-022-01630-7

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.

35J25; 31B10; 45K05; 45A05; 76N20