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On well-posedness of a velocity-vorticity formulation of the Navier-Stokes equations with no-slip boundary conditions
- Publication Year :
- 2017
-
Abstract
- We study well-posedness of a velocity-vorticity formulation of the Navier--Stokes equations, supplemented with no-slip velocity boundary conditions, a no-penetration vorticity boundary condition, along with a natural vorticity boundary condition depending on a pressure functional. In the stationary case we prove existence and uniqueness of a suitable weak solution to the system under a small data condition. The topic of the paper is driven by recent developments of vorticity based numerical methods for the Navier--Stokes equations.
- Subjects :
- Mathematics - Analysis of PDEs
Mathematical Physics
35Q30, 76D05, 76N10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1708.02241
- Document Type :
- Working Paper