arXiv:math/0206278 Abstract

arXiv:math/0206278 [math.AP]Abstract References Reviews Resources

On 2D Euler Equations: III. A Line Model

Published 2002-06-26Version 1

The spectral theorem of the linear 2D Euler operator in Sobolev spaces is presented as a corollary of the spectral theorem in $\ell_2$ space in [Li,00]. Study on the (dashed) line model introduced in [Li,01] is continued. Specifically, invariant manifolds for the line model is established. The corresponding line model for 2D Navier-Stokes equation is also introduced.

Categories: math.AP, math-ph, math.DS, math.FA, math.MP, math.SP

Keywords: 2d euler equations, spectral theorem, linear 2d euler operator, 2d navier-stokes equation, sobolev spaces

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