Absolute flux optimising curves of flows on a surface

作者：Balasuriya Sanjeeva^*; Froyland Gary; Santitissadeekorn Naratip

来源：Journal of Mathematical Analysis and Applications, 2014, 409(1): 119-139.

DOI：10.1016/j.jmaa.2013.06.013

• Minimum flux curves
• Absolute flux
• Weighted flux

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.

• 出版日期2014-1-1