학술저널
GEOMETRY OF L 2 (Ω, g)
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 19, No. 3
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2006.091 - 7 (7 pages)
- 0
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. Roh[1] derived 2D g-Navier-Stokes equations from 3D Navier-Stokes equations. In this paper, we will see the space L 2 (Ω, g), which is the weighted space of L 2 (Ω), as natural generalized space of L 2 (Ω) which is mathematical setting for Navier-Stokes equations. Our future purpose is to use the space L 2 (Ω, g) as mathematical setting for the g-Navier-Stokes equations. In addition, we will see Helmoltz-Leray projection on L 2p er (Ω, g) and compare with the one on L 2p er (Ω).RP
1. Introduction
2. Main Theorems
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