Attractors for a deconvolution model of turbulence
Roger Lewandowski (IRMAR), Yves Preaux
TL;DR
This paper investigates a deconvolution model for three-dimensional periodic turbulence flows, demonstrating the existence of a global attractor which indicates long-term stability and predictability of the system.
Contribution
The paper proves the existence of a global attractor for a specific deconvolution turbulence model, advancing understanding of its long-term behavior.
Findings
Existence of a global attractor established
Model's long-term stability demonstrated
Provides mathematical foundation for turbulence modeling
Abstract
We consider a deconvolution model for 3D periodic flows. We show the existence of a global attractor for the model.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Fluid Dynamics and Turbulent Flows · Advanced Mathematical Modeling in Engineering