| Title | Mapping Properties of Potential Operators Related to the 2D Compressible Stokes System in Weighted Sobolev Spaces |
|---|---|
| Authors | Dagnaw M.A. , FRESNEDA PORTILLO, CARLOS |
| External publication | No |
| Means | Integral Methods in Science and Engineering |
| Scope | Capítulo de un Libro |
| Nature | Científica |
| Area | International |
| Publication date | 01/01/2022 |
| DOI | 10.1007/978-3-031-07171-3_5 |
| Abstract | We derive a boundary-domain integral equation system equivalent to the Dirichlet boundary value problem for the stationary compressible Stokes equations with variable viscosity coefficient in an exterior 2D domain. To obtain the system of integral equations, we obtain integral representation of the solution using a parametrix. The solution is thus written in terms of domain and surface potential operators whose mapping properties are analysed in weighted Sobolev spaces. The main results relate to the equivalence between the integral equation system obtained and the original Stokes problem. © The Editor(s) (ifapplicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022. |
| Universidad Loyola members |