期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 188, 期 1-2, 页码 1-39出版社
ELSEVIER
DOI: 10.1016/S0167-2789(03)00287-2
关键词
diffusive mixing; strange eigenmodes; intertial manifolds
We prove the existence of asymptotic spatial patterns for diffusive tracers advected by unsteady velocity fields. The asymptotic patterns arise from convergence to a time-dependent inertial manifold in the underlying advection-diffusion equation. For time-periodic velocity fields, we find that the inertial manifold is spanned by a finite number of Floquet solutions, the strange eigenmodes, observed first numerically by Pierrehumbert. These strange eigenmodes only admit a regular asymptotic expansion in the diffusivity if the velocity field is completely integrable. (C) 2003 Elsevier B.V. All rights reserved.
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