Approximate Inertial Manifolds for Ageostrophic Flows的封面
书籍主题:

Approximate Inertial Manifolds for Ageostrophic Flows

LAP LAMBERT Academic Publishing (2020-09-24 )

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ISBN-13:

978-620-2-81646-5

ISBN-10:
6202816465
EAN:
9786202816465
书籍语言:
英文
作品简介:
We develop mathematical and numerical methods for nonlinear dynamical systems in nature and engineering. Our approach combines applied mathematics, dynamical systems theory and numerical methods to produce algorithms directly applicable to experimental and numerical data sets. Areas of current interest include nonlinear vibrations of multi-degree-of-freedom structures, rigorous model reduction in very high dimensional systems, complicated transport processes in the ocean and the atmosphere. The author elucidates in a concrete way dynamical challenges concerning approximate inertial manifolds (AIMS), i.e., globally invariant, exponentially attracting, finite-dimensional smooth manifolds, for nonlinear dynamical systems on Hilbert spaces. The goal of this theory is to prove the basic theorem of approximation dynamics, wherein it is shown that there is a fundamental connection between the order of the approximating manifold and the well-posedness and long-time dynamics of the rotating Boussinesq and quasigeostrophic equations.
出版社 :
LAP LAMBERT Academic Publishing
网址:
https://www.lap-publishing.com/
由(作者):
Maleafisha Joseph Pekwa Stephen Tladi
页码 :
148
发表日期:
2020-09-24
现货:
备有现货
类别:
数学
价格:
461.08 HK$
关键词:
Wave-Current Interactions, Dynamical Systems and Turbulence, Melnikov Method, Lagrangian and Eulerian Analysis, Lagrangian Coherent Structures, Energy-Phase Method, Geometric Singular Perturbation Theory

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