Infinite Dimensional Dynamical Systems In Atmospheric And Oceanic Science

Infinite Dimensional Dynamical Systems In Atmospheric And Oceanic Science Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Infinite Dimensional Dynamical Systems In Atmospheric And Oceanic Science book. This book definitely worth reading, it is an incredibly well-written.

Infinite-dimensional Dynamical Systems In Atmospheric And Oceanic Science

Boling Guo,Daiwen Huang
Infinite dimensional Dynamical Systems In Atmospheric And Oceanic Science Book PDF

Author : Boling Guo,Daiwen Huang
Publisher : World Scientific
Page : 328 pages
File Size : 46,9 Mb
Release : 2014-04-17
Category : Mathematics
ISBN : 9789814590396

Get Book

Infinite-dimensional Dynamical Systems In Atmospheric And Oceanic Science by Boling Guo,Daiwen Huang Pdf

The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given.

Phase Transition Dynamics

Tian Ma,Shouhong Wang
Phase Transition Dynamics Book PDF

Author : Tian Ma,Shouhong Wang
Publisher : Springer Science & Business Media
Page : 575 pages
File Size : 51,9 Mb
Release : 2013-11-09
Category : Mathematics
ISBN : 9781461489634

Get Book

Phase Transition Dynamics by Tian Ma,Shouhong Wang Pdf

This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.

Encyclopedia of Nonlinear Science

Alwyn Scott
Encyclopedia of Nonlinear Science Book PDF

Author : Alwyn Scott
Publisher : Routledge
Page : 2881 pages
File Size : 49,6 Mb
Release : 2006-05-17
Category : Reference
ISBN : 9781135455576

Get Book

Encyclopedia of Nonlinear Science by Alwyn Scott Pdf

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Introduction to Turbulent Dynamical Systems in Complex Systems

Andrew J. Majda
Introduction to Turbulent Dynamical Systems in Complex Systems Book PDF

Author : Andrew J. Majda
Publisher : Springer
Page : 91 pages
File Size : 41,5 Mb
Release : 2016-09-14
Category : Mathematics
ISBN : 9783319322179

Get Book

Introduction to Turbulent Dynamical Systems in Complex Systems by Andrew J. Majda Pdf

This volume is a research expository article on the applied mathematics of turbulent dynamical systems through the paradigm of modern applied mathematics. It involves the blending of rigorous mathematical theory, qualitative and quantitative modeling, and novel numerical procedures driven by the goal of understanding physical phenomena which are of central importance to the field. The contents cover general framework, concrete examples, and instructive qualitative models. Accessible open problems are mentioned throughout. Topics covered include: · Geophysical flows with rotation, topography, deterministic and random forcing · New statistical energy principles for general turbulent dynamical systems, with applications · Linear statistical response theory combined with information theory to cope with model errors · Reduced low order models · Recent mathematical strategies for online data assimilation of turbulent dynamical systems as well as rigorous results for finite ensemble Kalman filters The volume will appeal to graduate students and researchers working mathematics, physics and engineering and particularly those in the climate, atmospheric and ocean sciences interested in turbulent dynamical as well as other complex systems.

Computer Modelling in Atmospheric and Oceanic Sciences

Peter K. Müller
Computer Modelling in Atmospheric and Oceanic Sciences Book PDF

Author : Peter K. Müller
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 42,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662063811

Get Book

Computer Modelling in Atmospheric and Oceanic Sciences by Peter K. Müller Pdf

The book describes what these models are, what they are based on, how they function, and then, most innovatively, how they can be used to generate new useful knowledge about the environmental system. Discusses this generation of knowledge by computer models from an epistemological perspective and illustrates it by numerous examples from applied and fundamental research. Includes ample technical appendices and is a valuable source of information for graduate students and scientists alike working in the field of environmental sciences.

Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. II)

Seon Ki Park,Liang Xu
Data Assimilation for Atmospheric Oceanic and Hydrologic Applications Vol II Book PDF

Author : Seon Ki Park,Liang Xu
Publisher : Springer Science & Business Media
Page : 736 pages
File Size : 49,6 Mb
Release : 2013-05-22
Category : Science
ISBN : 9783642350887

Get Book

Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. II) by Seon Ki Park,Liang Xu Pdf

This book contains the most recent progress in data assimilation in meteorology, oceanography and hydrology including land surface. It spans both theoretical and applicative aspects with various methodologies such as variational, Kalman filter, ensemble, Monte Carlo and artificial intelligence methods. Besides data assimilation, other important topics are also covered including targeting observation, sensitivity analysis, and parameter estimation. The book will be useful to individual researchers as well as graduate students for a reference in the field of data assimilation.

The Connection between Infinite Dimensional and Finite Dimensional Dynamical Systems

Basil Nicolaenko,Ciprian Foiaş
The Connection between Infinite Dimensional and Finite Dimensional Dynamical Systems Book PDF

Author : Basil Nicolaenko,Ciprian Foiaş
Publisher : American Mathematical Soc.
Page : 357 pages
File Size : 44,9 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821851050

Get Book

The Connection between Infinite Dimensional and Finite Dimensional Dynamical Systems by Basil Nicolaenko,Ciprian Foiaş Pdf

The last few years have seen a number of major developments demonstrating that the long-term behavior of solutions of a very large class of partial differential equations possesses a striking resemblance to the behavior of solutions of finite dimensional dynamical systems, or ordinary differential equations. The first of these advances was the discovery that a dissipative PDE has a compact, global attractor with finite Hausdorff and fractal dimensions. More recently, it was shown that some of these PDEs possess a finite dimensional inertial manifold-that is, an invariant manifold containing the attractor and exponentially attractive trajectories. With the improved understanding of the exact connection between finite dimensional dynamical systems and various classes of dissipative PDEs, it is now realistic to hope that the wealth of studies of such topics as bifurcations of finite vector fields and ``strange'' fractal attractors can be brought to bear on various mathematical models, including continuum flows. Surprisingly, a number of distributed systems from continuum mechanics have been found to exhibit the same nontrivial dynamic behavior as observed in low-dimensional dynamical systems. As a natural consequence of these observations, a new direction of research has arisen: detection and analysis of finite dimensional dynamical characteristics of infinite-dimensional systems. This book represents the proceedings of an AMS-IMS-SIAM Summer Research Conference, held in July, 1987 at the University of Colorado at Boulder. Bringing together mathematicians and physicists, the conference provided a forum for presentations on the latest developments in the field and fostered lively interactions on open questions and future directions. With contributions from some of the top experts, these proceedings will provide readers with an overview of this vital area of research.

Nonlinear Phenomena in Atmospheric and Oceanic Sciences

George F. Carnevale,Raymond T. Pierrehumbert
Nonlinear Phenomena in Atmospheric and Oceanic Sciences Book PDF

Author : George F. Carnevale,Raymond T. Pierrehumbert
Publisher : Springer
Page : 0 pages
File Size : 54,6 Mb
Release : 2014-05-14
Category : Science
ISBN : 1475702507

Get Book

Nonlinear Phenomena in Atmospheric and Oceanic Sciences by George F. Carnevale,Raymond T. Pierrehumbert Pdf

This IMA Volume in Mathematics and its Applications NONLINEAR PHENOMENA IN ATMOSPHERIC AND OCEANIC SCIENCES is based on the proceedings of a workshop which was an integral part of the 1989-90 IMA program on "Dynamical Systems and their Applications". The aim of this workshop was to promote cross-fertilization of ideas between investigators who are using nonlinear dynamical systems and numerical simulations to study the earth's atmosphere and oceans. We thank George F. Carnevale, Shui-Nee Chow, Martin Golubitsky, Richard McGehee, Raymond Pierrehumbert and George R. Sell for organizing the meeting. We especially thank George F. Carnevale and Raymond Pierrehumbert for editing the proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, the Minnesota Supercom puter Institute, the National Science Foundation, and the Office of Naval Research. A vner Friedman Willard Miller, Jr. PREFACE When we took on this project, we did not realize we were organizing a workshop on two-dimensional fluid dynamics. The participants who were invited had been working on a broad range of mathematically challenging problems related to atmo spheric and oceanic phenomena, and they were given carte blanche to talk about their current interests. With few exceptions, the favored subject involved one or another aspect of fluid flow in two dimensions.

Peyresq Lectures on Nonlinear Phenomena

Freddy Bouchet
Peyresq Lectures on Nonlinear Phenomena Book PDF

Author : Freddy Bouchet
Publisher : World Scientific
Page : 386 pages
File Size : 47,5 Mb
Release : 2013
Category : Mathematics
ISBN : 9789814440592

Get Book

Peyresq Lectures on Nonlinear Phenomena by Freddy Bouchet Pdf

This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France). These lectures cover nonlinear physics in a broad sense. They were given over the period 2004 to 2008. The summer schools were organized by the Institut Non Lin(r)aire de Nice (Nice, France), the Laboratoire de Physique Statistique (ENS Paris, France) and the Institut de Recherche de Physique Hors Equilibre (Marseilles, France). The goal of the book is to provide a high-quality overview on the state of the art in nonlinear sciences, and to promote the transfer of knowledge between the various domains in physics dealing with nonlinear phenomen

Peyresq Lectures on Nonlinear Phenomena

Freddy Bouchet,Basile Audoly,Jacques Alexandre Sepulchre
Peyresq Lectures on Nonlinear Phenomena Book PDF

Author : Freddy Bouchet,Basile Audoly,Jacques Alexandre Sepulchre
Publisher : World Scientific
Page : 388 pages
File Size : 45,9 Mb
Release : 2012-11-09
Category : Science
ISBN : 9789814440608

Get Book

Peyresq Lectures on Nonlinear Phenomena by Freddy Bouchet,Basile Audoly,Jacques Alexandre Sepulchre Pdf

This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France). These lectures cover nonlinear physics in a broad sense. They were given over the period 2004 to 2008. The summer schools were organized by the Institut Non Linéaire de Nice (Nice, France), the Laboratoire de Physique Statistique (ENS Paris, France) and the Institut de Recherche de Physique Hors Equilibre (Marseilles, France). The goal of the book is to provide a high-quality overview on the state of the art in nonlinear sciences, and to promote the transfer of knowledge between the various domains in physics dealing with nonlinear phenomena. Contents:Some Examples of Animal Locomotion in Fluids (M Argentina)Applications of Equilibrium Statistical Mechanics to Atmospheres and Oceans (F Bouchet and A Venaille)Stochastic Perturbations of Nonlinear Dispersive Waves (A De Bouard)On Different Aspects of Granular Physics (C Josserand, P-Y Lagrée and D Lhuillier)Relativité générale (General relativity) (M Le Bellac)Bioadhesion (E Perez and F Pincet)Interfacial Growth Phenomena (A Pocheau) Readership: Physicists, mathematicians and biologists. Graduate students, post-docs, lecturers and researchers in nonlinear science. Keywords:Bose–Einstein Condensates;Fluid Dynamics;Complex Fluids;Mixing;Dynamo Effect

Computational Methods for the Atmosphere and the Oceans

Roger Temam,Joe Tribbia
Computational Methods for the Atmosphere and the Oceans Book PDF

Author : Roger Temam,Joe Tribbia
Publisher : Elsevier
Page : 797 pages
File Size : 54,7 Mb
Release : 2009-06-16
Category : Computers
ISBN : 9780080931036

Get Book

Computational Methods for the Atmosphere and the Oceans by Roger Temam,Joe Tribbia Pdf

This book provides a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. The details of the current practices in global atmospheric and ocean models, the assimilation of observational data into such models and the numerical techniques used in theoretical analysis of the atmosphere and ocean are among the topics covered. • Truly interdisciplinary: scientific interactions between specialties of atmospheric and ocean sciences and applied and computational mathematics • Uses the approach of computational mathematicians, applied and numerical analysts and the tools appropriate for unsolved problems in the atmospheric and oceanic sciences• Contributions uniquely address central problems and provide a survey of the frontier of research

Mechanics of Fluids

Joseph M. Powers
Mechanics of Fluids Book PDF

Author : Joseph M. Powers
Publisher : Cambridge University Press
Page : 721 pages
File Size : 55,6 Mb
Release : 2023-06-29
Category : Science
ISBN : 9781316515693

Get Book

Mechanics of Fluids by Joseph M. Powers Pdf

An accessible, rigorous introduction to fluid mechanics, with a robust emphasis on theoretical foundations and mathematical exposition.

Nonlinear Physical Oceanography

Henk A. Dijkstra
Nonlinear Physical Oceanography Book PDF

Author : Henk A. Dijkstra
Publisher : Springer
Page : 458 pages
File Size : 43,5 Mb
Release : 2014-03-14
Category : Science
ISBN : 9401594511

Get Book

Nonlinear Physical Oceanography by Henk A. Dijkstra Pdf

In this book, the methodology of dynamical systems theory is applied to investigate the physics of the global ocean circulation. Topics include the dynamics of the Gulf Stream in the Atlantic Ocean, the stability of the thermohaline circulation and the El Niño/Southern Oscillation phenomenon in the Tropical Pacific. On the other hand, the book also deals with the numerical methods for applying bifurcation analysis on large dimensional dynamical systems, with thousands or more degrees of freedom, which arise through discretization of ocean models. The novel approach in understanding the phenomena of climate variability is through a systematic analysis within a hierarchy of models using these techniques. In this way, a nice overview is obtained of the relations between the results of the different models within the hierarchy. Mechanistic description of the physics of the results is provided and, where possible, links with results of state-of-the-art models and observations are sought. The reader is expected to have a background in basic incompressible fluid dynamics and applied mathematics, although the level of the text is mixed and sometimes quite introductory. Each chapter is rather self-contained and many details of derivations are provided. The book is aimed at graduate students and researchers in meteorology, oceanography, and related fields who are interested in tackling fundamental problems in dynamical oceanography and climate dynamics.

Mathematical and Computational Modeling

Roderick Melnik
Mathematical and Computational Modeling Book PDF

Author : Roderick Melnik
Publisher : John Wiley & Sons
Page : 321 pages
File Size : 41,6 Mb
Release : 2015-05-18
Category : Mathematics
ISBN : 9781118853986

Get Book

Mathematical and Computational Modeling by Roderick Melnik Pdf

Mathematical and Computational Modeling Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-theart achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. The book also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, and industrial and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.

Applied Nonautonomous and Random Dynamical Systems

Tomás Caraballo,Xiaoying Han
Applied Nonautonomous and Random Dynamical Systems Book PDF

Author : Tomás Caraballo,Xiaoying Han
Publisher : Springer
Page : 108 pages
File Size : 49,9 Mb
Release : 2017-01-31
Category : Mathematics
ISBN : 9783319492476

Get Book

Applied Nonautonomous and Random Dynamical Systems by Tomás Caraballo,Xiaoying Han Pdf

This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.