Overview
- This book is open access, which means that you have free and unlimited access
- Brings selected, peer-reviewed studies in variability and uncertainty in upper ocean dynamics
- Discusses means of quantifying the effects of local patterns of sea-level rise, heat uptake, carbon storage, and more
Part of the book series: Mathematics of Planet Earth (MPE, volume 10)
Included in the following conference series:
Conference proceedings info: STUOD 2021.
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Table of contents (19 papers)
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Front Matter
Other volumes
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Stochastic Transport in Upper Ocean Dynamics
Keywords
- mathematics of planet earth
- Open Access
- STUOD
- ocean modelling
- ocean observations
- stochastic partial differential equations
- dynamical systems
- data analysis
- data assimilation
- deep learning
- particle filters
- geometric mechanics
- Navier-Stokes equation
- stochastic transport
- stochastic parameterization
- stochastic variational principles
- nonlinear water waves
- free surface fluid dynamics
- Stochastic Advection by Lie Transport
- Stochastic Forcing by Lie Transport
About this book
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 andoceanography.
Editors and Affiliations
About the editors
Dan Crisan is a Professor at the Department of Mathematics of Imperial College London, UK, and Director of the EPSRC Centre for Doctoral Training in the Mathematics of Planet Earth. His current research interests lie in stochastic analysis, fluid dynamics, nonlinear filtering and probabilistic numerical methods.
Darryl Holm is a Professor of Mathematics at Imperial College London, UK, and a Fellow of Los Alamos National Laboratory, USA. His works have applied geometric mechanics in many topics, including geophysical fluid dynamics (GFD) for ocean circulation, stochastic fluid dynamics, turbulence, nonlinear waves, and stochasticoptimal control for shape analysis.
Étienne Mémin is a Director of Research at Inria – National Institute for Research in Digital Science and Technology, France. His research focuses on stochastic modeling of fluid flows and data assimilation, an activity that crosses disciplines such as geophysics, fluid mechanics, and applied mathematics.
Anna Radomska is a Programme Project Manager at Imperial College London, UK.
Bibliographic Information
Book Title: Stochastic Transport in Upper Ocean Dynamics
Book Subtitle: STUOD 2021 Workshop, London, UK, September 20–23
Editors: Bertrand Chapron, Dan Crisan, Darryl Holm, Etienne Mémin, Anna Radomska
Series Title: Mathematics of Planet Earth
DOI: https://doi.org/10.1007/978-3-031-18988-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2023
Hardcover ISBN: 978-3-031-18987-6Published: 14 December 2022
Softcover ISBN: 978-3-031-18990-6Published: 14 December 2022
eBook ISBN: 978-3-031-18988-3Published: 13 December 2022
Series ISSN: 2524-4264
Series E-ISSN: 2524-4272
Edition Number: 1
Number of Pages: XVI, 317
Number of Illustrations: 3 b/w illustrations, 53 illustrations in colour
Topics: Mathematics of Planet Earth, Probability Theory and Stochastic Processes, Analysis, Complexity