Stochastic Geophysical Fluid Dynamics
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Stochastic Geophysical Fluid Dynamics
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Author : Franco Flandoli
language : en
Publisher: Birkhäuser
Release Date : 2025-06-30
Stochastic Geophysical Fluid Dynamics written by Franco Flandoli and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-30 with Mathematics categories.
This book is based on an Oberwolfach Seminar, and it intends to give an introduction and an overview to several directions of the recent research on stochastic geophysical fluid dynamics and to discuss different geophysical stochastic partial differential equations.
Lectures On Geophysical Fluid Dynamics
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Author : Rick Salmon
language : en
Publisher: Oxford University Press
Release Date : 1998-02-26
Lectures On Geophysical Fluid Dynamics written by Rick Salmon and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-26 with Science categories.
Lectures on Geophysical Fluid Dynamics offers an introduction to several topics in geophysical fluid dynamics, including the theory of large-scale ocean circulation, geostrophic turbulence, and Hamiltonian fluid dynamics. Since each chapter is a self-contained introduction to its particular topic, the book will be useful to students and researchers in diverse scientific fields.
Data Driven Stochastic Modeling For Coarsened Computational Geophysical Fluid Dynamics
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Author : Sagy Richard Ephrati
language : en
Publisher:
Release Date : 2023
Data Driven Stochastic Modeling For Coarsened Computational Geophysical Fluid Dynamics written by Sagy Richard Ephrati and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
Information Theory And Stochastics For Multiscale Nonlinear Systems
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Author : Andrew Majda
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Information Theory And Stochastics For Multiscale Nonlinear Systems written by Andrew Majda and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena. After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to information theory with novel applications to statistical mechanics, predictability, and Jupiter's Red Spot for geophysical flows. The second chapter discusses new mathematical issues regarding fluctuation-dissipation theorems for complex nonlinear systems including information flow, various approximations, and illustrates applications to various mathematical models. The third chapter discusses stochastic modeling of complex nonlinear systems. After a general discussion, a new elementary model, motivated by issues in climate dynamics, is utilized to develop a self-contained example of stochastic mode reduction. Based on A. Majda's Aisenstadt lectures at the University of Montreal, the book is appropriate for both pure and applied mathematics graduate students, postdocs and faculty, as well as interested researchers in other scientific disciplines. No background in geophysical flows is required. About the authors: Andrew Majda is a member of the National Academy of Sciences and has received numerous honors and awards, including the National Academy of Science Prize in Applied Mathematics, the John von Neumann Prize of the Society of Industrial and Applied Mathematics, the Gibbs Prize of the American Mathematical Society, and the Medal of the College de France. In the past several years at the Courant Institute, Majda and a multi-disciplinary faculty have created the Center for Atmosphere Ocean Science to promote cross-disciplinary research with modern applied mathematics in climate modeling and prediction. R.V. Abramov is a young researcher; he received his PhD in 2002. M. J. Grote received his Ph.D. under Joseph B. Keller at Stanford University in 1995.
Stochastic Climate Models
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Author : Peter Imkeller
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Stochastic Climate Models written by Peter Imkeller and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The proceedings of the summer 1999 Chorin workshop on stochastic climate models captures well the spirit of enthusiasm of the workshop participants engaged in research in this exciting field. It is amazing that nearly 25 years after the formal theory of natural climate variability generated by quasi-white-noise weather forcing was developed, and almost 35 years after J . M. Mitchell first suggested this mechanism as the origin of sea-surf ace-temperature fluctuations and climate variability, there have arisen so many fresh perspectives and new applications of the theory. The workshop has succeeded admirably in high lighting these new aspects while clarifying the position of stochastic climate modelling within the general framework of climate research and mathematical modelling. The organizers can be congratulated in bringing together leading researchers covering a wide range of scientific expertise, from mathematicians concerned with the derivation of stochastic models from first principles, to app lied climate modellers trying to understand the dynamics of the complex climate system. Following the first burst of stochastic modelling papers in the decade from the mid-seventies to the mid-eighties, in which the viability of the concept was demonstrated using relatively simple conceptual models, there was a lull of work in this field. One awaited the development of more sophisticated climate models with which one could carry out realistic quantitative analyses of the implications of stochastic forcing for the global climate system. Now that these models have become widely available, it is natural that one is witnessing a resurgence of stochastic modelling investigations.
Introduction To Geophysical Fluid Dynamics
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Author : Benoit Cushman-Roisin
language : en
Publisher: Academic Press
Release Date : 2011-08-26
Introduction To Geophysical Fluid Dynamics written by Benoit Cushman-Roisin and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Science categories.
Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. It explores contemporary topics of climate dynamics and equatorial dynamics, including the Greenhouse Effect, global warming, and the El Nino Southern Oscillation. Combines both physical and numerical aspects of geophysical fluid dynamics into a single affordable volume Explores contemporary topics such as the Greenhouse Effect, global warming and the El Nino Southern Oscillation Biographical and historical notes at the ends of chapters trace the intellectual development of the field Recipient of the 2010 Wernaers Prize, awarded each year by the National Fund for Scientific Research of Belgium (FNR-FNRS)
Stochastic Parameterizing Manifolds And Non Markovian Reduced Equations
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Author : Mickaël D. Chekroun
language : en
Publisher: Springer
Release Date : 2014-12-23
Stochastic Parameterizing Manifolds And Non Markovian Reduced Equations written by Mickaël D. Chekroun and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-23 with Mathematics categories.
In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equations (SPDEs). This is accomplished via the concept of parameterizing manifolds (PMs), which are stochastic manifolds that improve, for a given realization of the noise, in mean square error the partial knowledge of the full SPDE solution when compared to its projection onto some resolved modes. Backward-forward systems are designed to give access to such PMs in practice. The key idea consists of representing the modes with high wave numbers as a pullback limit depending on the time-history of the modes with low wave numbers. Non-Markovian stochastic reduced systems are then derived based on such a PM approach. The reduced systems take the form of stochastic differential equations involving random coefficients that convey memory effects. The theory is illustrated on a stochastic Burgers-type equation.
Geophysical Fluid Dynamics
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Author :
language : en
Publisher:
Release Date : 1960
Geophysical Fluid Dynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Geophysics categories.
Particle Laden Flow
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Author : Bernard Geurts
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-20
Particle Laden Flow written by Bernard Geurts and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-20 with Science categories.
This book contains a selection of the papers that were presented at the EUROMECH colloquium on particle-laden flow held at the University of Twente in 2006. The multiscale nature of this challenging field motivated the calling of the colloquium and reflects the central importance that the dispersion of particles in a flow has in various geophysical and environmental problems. The spreading of aerosols and soot in the air, the growth and dispersion of plankton blooms in seas and oceans, or the transport of sediment in rivers, estuaries and coastal regions are striking examples.
Filtering Complex Turbulent Systems
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Author : Andrew J. Majda
language : en
Publisher: Cambridge University Press
Release Date : 2012-02-23
Filtering Complex Turbulent Systems written by Andrew J. Majda and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-23 with Mathematics categories.
The authors develop a systematic applied mathematics perspective on the problems associated with filtering complex turbulent systems. The book contains background material from filtering, turbulence theory and numerical analysis, making it suitable for graduate courses as well as for researchers in a range of disciplines where applied mathematics is required.