Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 2027-2044 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 27 |
| Issue number | 17 |
| DOIs | |
| Publication status | Published - 25 Nov 2004 |
Research Keywords
- Coupling variational formulation
- Exterior
- Navier-Stokes equations
- Oseen equations
- Well-posedness
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