Dissipation enhancing flows and the applications to the Kuramoto Sivashinsky Equation
Duration: 54 mins 26 secs
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About this item
| Description: |
Yuanyuan Feng (Pennsylvania State University)
10 March 2022 – 16:00 to 17:00 |
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| Created: | 2022-03-11 09:57 |
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| Collection: | Mathematical aspects of turbulence: where do we stand? |
| Publisher: | Isaac Newton Institute |
| Copyright: | Yuanyuan Feng |
| Language: | eng (English) |
| Abstract: | 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. |
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