Mathematical principle and fractal analysis of mesoscale eddy

Mathematical principle and fractal analysis of mesoscale eddy / Shu-Tang Liu, Yu-Pin Wang, Zhi-Min Bi, Yin Wang, authors.

This book focuses on universal nonlinear dynamics model of mesoscale eddies. The results of this book are not only the direct-type applications of pure mathematical limit cycle theory and fractal theory in practice but also the classic combination of nonlinear dynamic systems in mathematics and the...

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Bibliographic Details
Main Authors: Liu, Shu-Tang (Author), Wang, Yu-Pin (Author), Bi, Zhi-Min (Author), Wang, Yin (Author)
Format: eBook
Language:English
Published: Singapore : Springer, 2021.
Subjects:
Eddies > Mathematical models.
Eddies > Mathematical models
Vòrtexs.
Models matemàtics.
Llibres electrònics.
Online Access:Click for online access
Table of Contents:
  • Introduction
  • Preliminaries
  • Universal Mathematical Model of Mesoscale Eddy
  • Semi-stable Limit Cycle in Mathematical Model of Mesoscale Eddy
  • Example Verification
  • Spatiotemporal Structure of Mesoscale Eddies: Self-similar Fractal Behavior
  • Mesoscale Eddies: Disk and Columnar Shapes
  • Fractal Analysis and Prediction for Spatiotemporal Complexity of Mesoscale Eddy
  • Nonlinear Characteristics of Universal Mathematical Model of Mesoscale Eddy
  • Same Solution Between Momentum Balance Equations and Mesoscale Eddies
  • Momentum Balance Equation Based on Truncation Function and Mathematical Model of Mesoscale Eddies
  • Interpolation Prediction of Mesoscale Eddies
  • Random Elliptic Curve and Brownian Motion Trajectory of Mesoscale Eddy
  • Mathematical Model for Edge Waves of Mesoscale Eddies and Its Spatio-Temporal Fractal Structures.

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