Localized Enhanced Dissipation: A Hypocoercivity Approach
Siming He
TL;DR
This paper develops a hypocoercivity-based method to analyze enhanced dissipation in passive scalar solutions within shear flows that have critical points, providing detailed estimates of dissipation rates.
Contribution
It introduces a novel hypocoercivity functional tailored for shear flows with critical points to derive streamline-wise enhanced dissipation estimates.
Findings
Established new dissipation estimates for shear flows with critical points.
Demonstrated the effectiveness of hypocoercivity methods in this context.
Provided a framework for future analysis of passive scalar mixing.
Abstract
In this paper, we consider the passive scalar solutions in shear flows with critical points. With a detailed hypocoercivity functional, we develop streamline-wise enhanced dissipation estimates.
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Taxonomy
TopicsNavier-Stokes equation solutions · Fluid Dynamics and Turbulent Flows · Stability and Controllability of Differential Equations