Lagrangian transport and predictability in geophysical flows, mixing, phase space transport and applications.
Abstract
transport and predictability in geophysical flows, “big data”, phase space transport and applications Prof. Stephen Wiggins, School of Mathematics, University of Bristol, Bristol BS8 1TW, UK Phone: 44 117 928 7979 fax: 44 117 9287999 email: S.Wiggins@Bristol.ac.uk The dynamical systems approach to Lagrangian transport in oceanographic flows has been an area of research pioneered by ONR sponsored investigators for about the last 25 years now. It has influenced fundamental mathematics in a variety of way and provides an excellent example of how advances in fundamental developments in mathematics can have a direct influence on capabilities in oceanographic topics of immediate interest to the DoD. My collaborators and I have been leaders in the development of this approach during this entire period. The proposed research continues this tradition by developing fundamental new areas of mathematics that will not only stimulate fundamental mathematical research but will also develop new capabilities in oceanography, as will as other applications. This latter point is significant as my research program has had numerous “transitions” outside the original areas of research over the years (and these are still continuing). The particular areas and projects that we will pursue are as follows: 1. Development of the Geometric Approach to Transport in Stochastic Dynamical Systems. 2. Lagrangian Transport Associated with the Arctic Ocean. 3. Lagrangian analysis techniques for facilitating technological developments and capabilities in oceanography. 4. Development of analytical techniques for “mining” large oceanographic data sets. 5. Further development of the method of Lagrangian descriptors for high dimensional dynamical systems.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Feb 03, 2017
- Source ID
- N000141712220
Entities
People
- Stephen Wiggins
Organizations
- Office of Naval Research
- United States Navy
- University of Bristol