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In this talk, we would first introduce the dissipation enhancing flows. We would focus on the dissipation time of mixing flows, shear flows and the planar helical flows. Then we will apply these flows to Kuramoto Sivashinsky equations in 2d or 3d to get global existence of the solution.
S.Chowla Assistant Research Professor at the Department of Mathematics, Pennsylvania State university, mentored by Anna Mazzucato. Research interest lies broadly in applied analysis with emphasis on mixing, dissipation enhancing and the applications to reaction diffusion equation, phase separation, combustion, etc. Besides that, I have worked on some projects on systems with memory, analysis of machine learning algorithms, quarantine strategy based on SIR models.
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