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On Convergence of Arbitrary D-Solution of Steady Navier–Stokes System in 2D Exterior Domains.
- Source :
-
Archive for Rational Mechanics & Analysis . Jul2019, Vol. 233 Issue 1, p385-407. 23p. - Publication Year :
- 2019
-
Abstract
- We study solutions to stationary Navier–Stokes system in a two dimensional exterior domain. We prove that any such solution with a finite Dirichlet integral converges to a constant vector at infinity uniformly. No additional conditions (on symmetry or smallness, etc.) are assumed. In the proofs we develop the ideas of the classical papers of Gilbarg and Weinberger (Ann Sc Norm Pisa (4) 5:381–404, 1978) and Amick (Acta Math 161:71–130, 1988). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00039527
- Volume :
- 233
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Archive for Rational Mechanics & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 135892024
- Full Text :
- https://doi.org/10.1007/s00205-019-01359-8