On 2D Euler Equations: III. A Line Model
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
Dynamical Systems
Functional Analysis
math.MP
Spectral Theory
Abstract
The spectral theorem of the linear 2D Euler operator in Sobolev spaces is presented as a corollary of the spectral theorem in 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.
Keywords
Cite
@article{arxiv.math/0206278,
title = {On 2D Euler Equations: III. A Line Model},
author = {Yanguang Charles Li},
journal= {arXiv preprint arXiv:math/0206278},
year = {2007}
}