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Explore recent theoretical advances in nonlinear inviscid damping through this mathematical physics lecture presented by Nader Masmoudi. Examine the phenomenon of long-time decay of velocity perturbations in ideal fluids without viscosity, drawing parallels to Landau damping in plasma physics. Review foundational results before delving into cutting-edge developments, including extensions to more general shear flows and optimality analysis of regularity spaces through instability constructions. Gain insights into collaborative research findings with J. Bedrossian, Yu Deng, and Weiren Zhao that advance understanding of this fundamental fluid dynamics concept. Learn how mathematical techniques reveal the mechanisms behind energy decay in inviscid systems and discover the theoretical boundaries of these damping phenomena through rigorous mathematical analysis.
