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Dissipation enhancing flows and the applications to the Kuramoto Sivashinsky Equation

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TURW03 - Modelling and analysis of turbulent transport, mixing and scaling

In this talk, we would study how stirring would help dissipate the energy and the applications to the nonlinear models. We would first introduce the dissipation enhancing flows and study the dissipation time of such flows, where the dissipation time is the time required for the system to dissipate a constant fraction of its initial energy. We study the dissipation time of mixing flows, shear flows and ”planar helical flows”. Then we will apply these flows to the passive flame propagation (Kuramoto-Sivashinsky) models in 2d or 3d to obtain global existence of the solution.

This talk is part of the Isaac Newton Institute Seminar Series series.

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