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Oseen coupling method for the exterior flow. Part II: Well‐posedness analysis
Author(s) -
He Yinnian,
Li Kaitai,
Liu KamMoon
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.536
Subject(s) - mathematics , coupling (piping) , domain (mathematical analysis) , mathematical analysis , boundary (topology) , infinity , flow (mathematics) , boundary value problem , integral equation , homogeneous , geometry , mechanical engineering , combinatorics , engineering
In this paper, we recall the Oseen coupling method for solving the exterior unsteady Navier–Stokes equations with the non‐homogeneous boundary conditions. Moreover, we derive the coupling variational formulation of the Oseen coupling problem by using of the integral representations of the solution of the Oseen equations at an infinity domain. Finally, we provide some properties of the integral operators over the artificial boundary and the well‐posedness of the coupling variational formulation. Copyright © 2004 John Wiley & Sons, Ltd.

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