GEOMETRY OF L2(Ω, g)

Abstract

Roh[1] derived 2D g-Navier-Stokes equations from 3D Navier-Stokes equations. In this paper, we will see the space L2(Ω, g), which is the weighted space of L2(Ω), as natural generalized space of L2(Ω) which is mathematical setting for Navier-Stokes equations. Our future purpose is to use the space L2(Ω, g) as mathematical setting for the g-Navier-Stokes equations.

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