1.

Record Nr.

UNINA9910488714703321

Autore

Liu Shu-Tang

Titolo

Mathematical Principle and Fractal Analysis of Mesoscale Eddy / / by Shu-Tang Liu, Yu-Pin Wang, Zhi-Min Bi, Yin Wang

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021

ISBN

981-16-1839-9

Edizione

[1st ed. 2021.]

Descrizione fisica

1 online resource (260 pages)

Collana

Intelligent Technologies and Robotics Series

Disciplina

620.1064015118

Soggetti

Automatic control

Engineering mathematics

Control and Systems Theory

Engineering Mathematics

Vòrtexs

Models matemàtics

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Introduction -- Preliminaries -- Universal Mathematical Model of Mesoscale Eddy -- Semi-stable Limit Cycle in Mathematical Model of Mesoscale Eddy -- Semi-stable Limit Cycles and Mesoscale Eddies -- Example Verification -- Spatiotemporal Structure of Mesoscale Eddies: Self-similar Fractal Behavior -- Mesoscale Eddies: Disc and Columnar Shapes -- Fractal Analysis and Prediction of Mesoscale Eddy Spatiotemporal Complexity -- 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.

Sommario/riassunto

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 physical oceanography. The universal model and experimental verification not only verify the relevant results that are obtained by Euler's form but also, more importantly, are consistent with observational numerical statistics. Due to the universality of the model, the consequences of the system are richer and more complete. The comprehensive and systematic mathematical modeling of mesoscale eddies is one of the major features of the book, which is particularly suited for readers who are interested to learn fractal analysis and prediction in physical oceanography. The book benefits researchers, engineers, and graduate students in the fields of mesoscale eddies, fractal, chaos, and other applications, etc.