Mathematical principle and fractal analysis of mesoscale eddy / Shu-Tang Liu, Yu-Pin Wang, Zhi-Min Bi, Yin Wang, authors.
Liu, Shu-Tang, author.; Wang, Yu-Pin, author.; Bi, Zhi-Min, author.; Wang, Yin, author.
2021
TA357.5.T87 L58 2021eb
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Title Mathematical principle and fractal analysis of mesoscale eddy / Shu-Tang Liu, Yu-Pin Wang, Zhi-Min Bi, Yin Wang, authors.
Author Liu, Shu-Tang, author.
ISBN 9789811618390 (electronic bk.)
9811618399 (electronic bk.)
9811618380
9789811618383
DOI https://doi.org/10.1007/978-981-16-1839-0
Published Singapore : Springer, 2021.
Copyright ©2021
Language English
Description 1 online resource (xiii, 258 pages)
Item Number 10.1007/978-981-16-1839-0 doi
Call Number TA357.5.T87 L58 2021eb
Dewey Decimal Classification 551.46/2015118
Summary 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.
Access Note Access limited to authorized users.
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Added Author Wang, Yu-Pin, author.
Bi, Zhi-Min, author.
Wang, Yin, author.
Available in Other Form Mathematical principle and fractal analysis of mesoscale eddy.
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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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