Well-Posed Boundary Conditions for the Navier--Stokes Equations | Zendy

Jan Nordström | Zendy; Magnus Svärd | Zendy

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Well-Posed Boundary Conditions for the Navier--Stokes Equations

Author(s) -

Jan Nordström,

Magnus Svärd

Publication year - 2005

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/040604972

Subject(s) - mathematics , boundary value problem , mathematical analysis , navier–stokes equations , partial differential equation , domain (mathematical analysis) , mixed boundary condition , robin boundary condition , space (punctuation) , compressibility , physics , mechanics , linguistics , philosophy

In this article we propose a general procedure that allows us to determine both the number and type of boundary conditions for time dependent partial differential equations. With those, well-posedness can be proven for a general initial-boundary value problem. The procedure is exemplified on the linearized Navier--Stokes equations in two and three space dimensions on a general domain.

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