Stochastic Transport In Upper Ocean Dynamics Iii
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Stochastic Transport In Upper Ocean Dynamics Iii
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Author : Bertrand Chapron
language : en
Publisher: Springer Nature
Release Date : 2024-11-18
Stochastic Transport In Upper Ocean Dynamics Iii written by Bertrand Chapron and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-18 with Mathematics categories.
This open-access proceedings volume brings selected, peer-reviewed contributions presented at the Fourth Stochastic Transport in Upper Ocean Dynamics (STUOD) 2023 Workshop, held at IFREMER in Plouzané, France, September 25–28, 2023. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA), and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage, and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills, and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large-scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation, and oceanography.
Stochastic Transport In Upper Ocean Dynamics Iii
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Author : Bertrand Chapron
language : en
Publisher:
Release Date : 2025
Stochastic Transport In Upper Ocean Dynamics Iii written by Bertrand Chapron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Dynamics categories.
Generative Modelling of Stochastic Rotating Shallow Water Noise -- Collisions of Burgers Bores with Nonlinear Waves -- Average dissipation for stochastic transport equations with Lévy noise -- General Solution Theory for the Stochastic Navier-Stokes Equations -- Geometric theory of perturbation dynamics around non-equilibrium fluid flows -- On forward-backward SDE approaches to conditional estimation -- Data Assimilation for the Stochastic Camassa-Holm Equation Using Particle Filtering: A Numerical Investigation -- Some properties of a non-hydrostatic stochastic oceanic primitive equations model -- Derivation of stochastic models for coastal waves -- The Effects of Unresolved Scales on Analogue Forecasting Ensembles -- Particle-based algorithm for stochastic optimal control -- Maximum likelihood estimation of subgrid flows from tracer image sequences -- Transport noise defined from wavelet transform for model-based stochastic ocean models -- Stochastic fluids with transport noise: Approximating diffusion from data using SVD and ensemble forecast back-propagation.
Stochastic Transport In Upper Ocean Dynamics Ii
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Author : Bertrand Chapron
language : en
Publisher: Springer Nature
Release Date : 2023-10-03
Stochastic Transport In Upper Ocean Dynamics Ii written by Bertrand Chapron and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-03 with Mathematics categories.
This open access proceedings volume brings selected, peer-reviewed contributions presented at the Third Stochastic Transport in Upper Ocean Dynamics (STUOD) 2022 Workshop, held virtually and in person at the Imperial College London, UK, September 26–29, 2022. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.
Stochastic Transport In Upper Ocean Dynamics
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Author : Bertrand Chapron
language : en
Publisher: Springer Nature
Release Date : 2022-12-13
Stochastic Transport In Upper Ocean Dynamics written by Bertrand Chapron and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-13 with Mathematics categories.
This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20–23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.
Stochastic Calculus In Infinite Dimensions And Spdes
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Author : Daniel Goodair
language : en
Publisher: Springer Nature
Release Date : 2024-08-29
Stochastic Calculus In Infinite Dimensions And Spdes written by Daniel Goodair and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-29 with Mathematics categories.
Introducing a groundbreaking framework for stochastic partial differential equations (SPDEs), this work presents three significant advancements over the traditional variational approach. Firstly, Stratonovich SPDEs are explicitly addressed. Widely used in physics, Stratonovich SPDEs have typically been converted to Ito form for mathematical treatment. While this conversion is understood heuristically, a comprehensive treatment in infinite dimensions has been lacking, primarily due to insufficient rigorous results on martingale properties. Secondly, the framework incorporates differential noise, assuming the noise operator is only bounded from a smaller Hilbert space into a larger one, rather than within the same space. This necessitates additional regularity in the Ito form to solve the original Stratonovich SPDE. This aspect has been largely overlooked, despite the increasing popularity of gradient-dependent Stratonovich noise in fluid dynamics and regularisation by noise studies. Lastly, the framework departs from the explicit duality structure (Gelfand Triple), which is typically expected in the study of analytically strong solutions. This extension builds on the classical variational framework established by Röckner and Pardoux, advancing it in all three key aspects. Explore this innovative approach that not only addresses existing challenges but also opens new avenues for research and application in SPDEs.
Stochastic Transport In Upper Ocean Dynamics Ii
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Author : Bertrand Chapron
language : en
Publisher: Springer
Release Date : 2023-10-29
Stochastic Transport In Upper Ocean Dynamics Ii written by Bertrand Chapron and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-29 with Mathematics categories.
This open access proceedings volume brings selected, peer-reviewed contributions presented at the Third Stochastic Transport in Upper Ocean Dynamics (STUOD) 2022 Workshop, held virtually and in person at the Imperial College London, UK, September 26–29, 2022. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.
Stochastic Partial Differential Equations In Fluid Mechanics
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Author : Franco Flandoli
language : en
Publisher: Springer Nature
Release Date : 2023-06-11
Stochastic Partial Differential Equations In Fluid Mechanics written by Franco Flandoli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-11 with Mathematics categories.
This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequenceson large-scale properties of a fluid.
Lagrangian Analysis And Prediction Of Coastal And Ocean Dynamics
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Author : Annalisa Griffa
language : en
Publisher: Cambridge University Press
Release Date : 2007-05-10
Lagrangian Analysis And Prediction Of Coastal And Ocean Dynamics written by Annalisa Griffa 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 2007-05-10 with Science categories.
Written by a group of international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. This multidisciplinary text presents new results on nonlinear analysis of Lagrangian dynamics, the prediction of particle trajectories, and Lagrangian stochastic models. It includes historical information, up-to-date developments, and speculation on future developments in Lagrangian-based observations, analysis, and modeling of physical and biological systems. Containing contributions from experimentalists, theoreticians, and modelers in the fields of physical oceanography, marine biology, mathematics, and meteorology, this book will be of great interest to researchers and graduate students looking for both practical applications and information on the theory of transport and dispersion in physical systems, biological modeling, and data assimilation.
Stochastic Modelling In Physical Oceanography
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Author : Robert Adler
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-03-28
Stochastic Modelling In Physical Oceanography written by Robert Adler 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 1996-03-28 with Gardening categories.
The study of the ocean is almost as old as the history of mankind itself. When the first seafarers set out in their primitive ships they had to understand, as best they could, tides and currents, eddies and vortices, for lack of understanding often led to loss of live. These primitive oceanographers were, of course, primarily statisticians. They collected what empirical data they could, and passed it down, ini tially by word of mouth, to their descendants. Data collection continued throughout the millenia, and although data bases became larger, more re liable, and better codified, it was not really until surprisingly recently that mankind began to try to understand the physics behind these data, and, shortly afterwards, to attempt to model it. The basic modelling tool of physical oceanography is, today, the partial differential equation. Somehow, we all 'know" that if only we could find the right set of equations, with the right initial and boundary conditions, then we could solve the mysteries of ocean dynamics once and for all.
Understanding And Predicting The Gulf Of Mexico Ocean Dynamics
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Author : Julio Sheinbaum
language : en
Publisher: Frontiers Media SA
Release Date : 2024-04-08
Understanding And Predicting The Gulf Of Mexico Ocean Dynamics written by Julio Sheinbaum and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-08 with Science categories.
For the past several years, a number of research programs have funded significant efforts to advance understanding of and forecasting capabilities for the Gulf of Mexico circulation, including the Loop Current, its associated eddies, and abyssal dynamics. One such program is the National Academies’ Understanding Gulf Ocean Systems initiative, which focuses on improving forecasts of the physical dynamics of the open Gulf of Mexico in space and time scales useful for the reduction of risks to offshore energy exploration and production, as well as for other challenges such as forecasting hurricane intensification and managing fisheries. What has been learned, how can this scientific progress be incorporated into operational models, and what are the remaining gaps in knowledge impeding predictive skill?