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On 2D Euler Equations: III. A Line Model

Yanguang Charles Li
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Abstract

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.

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Yanguang Charles Li. 2002-06-26. On 2D Euler Equations: III. A Line Model. https://arxiv.org/abs/math/0206278

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