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Viscous Flows in Domains with a Multiply Connected Boundary
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pukhnachev, V. V. |
| Copyright Year | 2009 |
| Abstract | In this paper we consider stationary Navier-Stokes equations in a bounded domain with a boundary, which has several connected components. The velocity vector is given on the boundary, where the fluxes differ from zero on its components. In general case, the solvability of this problem is an open question up to now. We provide a survey of previous results, which deal with partial versions of the problem. We construct an a priori estimate of the Dirichlet integral for velocity vector in the case, when the flow has an axis of symmetry and a plane of symmetry perpendicular to it, moreover this plane intersects each component of the boundary. Having available this estimate, we prove the existence theorem for axially symmetric problem in a domain with a multiply connected boundary. We consider also the problem in a curvilinear ring and formulate a conditional result concerning its solvability. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.mis.mpg.de/preprints/2008/preprint2008_62.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Apache Axis Arabic numeral 0 Axis vertebra Connected component (graph theory) Flow Multiplication Navier–Stokes equations Stationary process Velocity (software development) Version |
| Content Type | Text |
| Resource Type | Article |
