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| Recent theoretical and experimental investigations have highlighted
the role of invariant manifolds, termed burning invariant manifolds
(BIMs), as one-way barriers to reaction fronts propagating within
flowing media. In its original context, BIM theory was restricted to
time-independent or time-periodic flows. The present work extends
these ideas to flows with general time-dependence, thereby
constructing coherent structures that organize and constrain the
propagation of fronts through general flows. This permits a much
broader and physically realistic class of problems to be addressed.
Our approach follows the recent work of Haller, Beron-Vera, and
Farazmand, in which Lagrangian coherent structures (LCSs), relevant to
purely advective transport, are characterized as curves of minimal
Lagrangian shear. |
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