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Absolute flux optimising curves of flows on a surface

Balasuriya, S, Froyland, G and Santitissadeekorn, N (2014) Absolute flux optimising curves of flows on a surface Journal of Mathematical Analysis and Applications, 409 (1). pp. 119-139.

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Given a flow on a surface, we consider the problem of connecting two distinct trajectories by a curve of extremal (absolute) instantaneous flux. We develop a complete classification of flux optimal curves, accounting for the possibility of the flux having spatially and temporally varying weight. This weight enables modelling the flux of non-equilibrium distributions of tracer particles, pollution concentrations, or active scalar fields such as vorticity. Our results are applicable to all smooth autonomous flows, area preserving or not. © 2013 Elsevier Ltd.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Balasuriya, S
Froyland, G
Date : 1 January 2014
DOI : 10.1016/j.jmaa.2013.06.013
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:20
Last Modified : 10 Jun 2019 13:01

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