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Symmetrization and asymptotic stability in non-homogeneous fluids around stratified shear flows

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arxiv 2309.12738 v1 pith:64EQV377 submitted 2023-09-22 math.AP physics.flu-dyn

Roberta Bianchini , Michele Coti Zelati , Michele Dolce This is my paper · ORCID
classification math.APphysics.flu-dyn
keywords asymptoticflowsfluidsshearstabilitystratifiedacrossadvancements
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Significant advancements have emerged in the theory of asymptotic stability of shear flows in stably stratified fluids. In this comprehensive review, we spotlight these recent developments, with particular emphasis on novel approaches that exhibit robustness and applicability across various contexts.

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  1. Enhanced Dissipation, Taylor Dispersion, and Inviscid Damping of Couette flow in the Boussinesq system on the Plane

    math.AP 2025-01 conditional novelty 7.0 of 10

    A proof that Couette flow in the stably stratified Boussinesq system on R^2 is asymptotically stable for Richardson number R>1/4, with explicit enhanced dissipation, Taylor dispersion, and inviscid damping rates.

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