| Title | On the Well-Posedness of Two Boundary-Domain Integral Equation Systems Equivalent to the Dirichlet Problem for the Stokes System with Variable Viscosity |
|---|---|
| Authors | Dagnaw, M. A. , FRESNEDA PORTILLO, CARLOS |
| External publication | No |
| Means | Results Math. |
| Scope | Article |
| Nature | Científica |
| JCR Quartile | 1 |
| SJR Quartile | 2 |
| JCR Impact | 2.2 |
| SJR Impact | 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 |
| Publication date | 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. |
| Keywords | 35J25; 31B10; 45K05; 45A05; 76N20 |
| Universidad Loyola members |