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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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Abstract

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
Authors :
NameEmailORCID
Balasuriya, SUNSPECIFIEDUNSPECIFIED
Froyland, GUNSPECIFIEDUNSPECIFIED
Santitissadeekorn, Nn.santitissadeekorn@surrey.ac.ukUNSPECIFIED
Date : 1 January 2014
Identification Number : 10.1016/j.jmaa.2013.06.013
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:20
Last Modified : 17 May 2017 15:10
URI: http://epubs.surrey.ac.uk/id/eprint/838842

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