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- Title
ON THE ROBIN PROBLEM FOR STOKES AND NAVIER–STOKES SYSTEMS.
- Authors
Russo, Remigio; Tartaglione, Alfonsina
- Abstract
The Robin problem for Stokes and Navier–Stokes systems is considered in a Lipschitz domain with a compact boundary. By making use of the boundary layer potentials approach, it is proved that for Stokes system this problem admits a very weak solution under suitable assumptions on the boundary datum. A similar result is proved for the Navier–Stokes system, provided that the datum is "sufficiently small".
- Subjects
STOKES equations; ATMOSPHERIC boundary layer; LIPSCHITZ spaces; ENGINEERING meteorology; PARTIAL differential equations; METEOROLOGY
- Publication
Mathematical Models & Methods in Applied Sciences, 2006, Vol 16, Issue 5, p701
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202506001327