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https://hdl.handle.net/2440/140705
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Type: | Conference paper |
Title: | Stochastic approaches to Lagrangian coherent structures |
Author: | Balasuriya, S. |
Citation: | Proceedings of the Mathematical Society of Japan, Seasonal Institute Symposia and Workshops - The Role of Metrics in the Theory of Partial Differential Equations, as published in Advanced Studies in Pure Mathematics, 2020, vol.85, pp.95-104 |
Publisher: | Mathematical Society of Japan |
Issue Date: | 2020 |
Series/Report no.: | Advanced Studies in Pure Mathematics; 85 |
ISSN: | 0920-1971 2433-8915 |
Conference Name: | Mathematical Society of Japan, Seasonal Institute Symposia and Workshops (2 Jul 2018 - 13 Jul 2018 : Hokkaido University, Sapporo) |
Statement of Responsibility: | Sanjeeva Balasuriya |
Abstract: | This Note discusses a connection between deterministic Lagrangian coherent structures (robust fluid parcels which move coherently in unsteady fluid flows according to a deterministic ordinary differential equation), and the incorporation of noise or stochasticity which leads to the Fokker–Planck equation (a partial differential equation governing a probability density function). The link between these is via a stochastic ordinary differential equation. It is argued that a closer investigation of the stochastic differential equation offers additional insights to both the other approaches, and in particular to uncertainty quantification in Lagrangian coherent structures. |
Rights: | © 2020 Mathematical Society of Japan |
DOI: | 10.2969/aspm/08510095 |
Grant ID: | http://purl.org/au-research/grants/arc/DP200101764 http://purl.org/au-research/grants/arc/FT130100484 |
Published version: | https://projecteuclid.org/Proceedings/advanced-studies-in-pure-mathematics/the-role-of-metrics-in-the-theory-of-partial-differential/toc/10.2969/aspm/08510000 |
Appears in Collections: | Research Outputs |
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