학술저널
DERIVATION OF THE g-NAVIER-STOKES EQUATIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 19, No. 3
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2006.091 - 6 (6 pages)
- 0
커버이미지 없음
The 2D g-Navier-Stokes equations are a certain modified Navier-Stokes equations and have the following form, ∂u ∂t − ν∆u + (u · ∇)u + ∇p = f , in Ω with the continuity equation ∇ · (gu) = 0, in Ω, where g is a suitable smooth real valued function. In this paper, we will derive 2D g-Navier-Stokes equations from 3D Navier-Stokes equations. In addition, we will see the relationship between two equations.
1. Introduction
2. Main Theorems
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