steady flows中的冻结反应前沿：燃烧不变流形透视
Frozen reaction fronts in steady flows: a burning-invariant-manifold perspective
摘要：
在二维流体流动中传播的前沿（例如化学反应前沿）的动力学可以是非常丰富和变化的。对于时不变流，前沿动力学可以简化，稳定到稳定状态，其中反应域是静态的，并且前沿看起来“冻结”。我们的中心结果是，这些冻结的二维流体的前端组成的燃烧不变流形-不变流形的片段-前元素动力学在$xyθ$ -空间，其中$θ$是前端的方向。燃烧不变流形（BIM）以前已被确定为重要的局部障碍，在流体流动中的前传播。冻结战线的BIM的相关性在于他们的能力，在适当的条件下，形成全球性的障碍，分离反应域从nonreacted域的所有时间。本文的第二个主要结果是理解导致从非冻结状态到冻结状态的分叉，以及改变冻结前的拓扑结构的分叉。虽然这项研究的主要结果适用于一般的流体流动，我们的分析集中在一个链的漩涡在一个通道流与施加风。对于这个系统，我们提出了实验和数值研究，支持这里开发的理论分析。
英文摘要：
The dynamics of fronts, such as chemical reaction fronts, propagating in two-dimensional fluid flows can be remarkably rich and varied. For time-invariant flows, the front dynamics may simplify, settling in to a steady state in which the reacted domain is static, and the front appears "frozen". Our central result is that these frozen fronts in the two-dimensional fluid are composed of segments of burning invariant manifolds---invariant manifolds of front-element dynamics in $xyθ$-space, where $θ$ is the front orientation. Burning invariant manifolds (BIMs) have been identified previously as important local barriers to front propagation in fluid flows. The relevance of BIMs for frozen fronts rests in their ability, under appropriate conditions, to form global barriers, separating reacted domains from nonreacted domains for all time. The second main result of this paper is an understanding of bifurcations that lead from a nonfrozen state to a frozen state, as well as bifurcations that change the topological structure of the frozen front. Though the primary results of this study apply to general fluid flows, our analysis focuses on a chain of vortices in a channel flow with an imposed wind. For this system, we present both experimental and numerical studies that support the theoretical analysis developed here.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
