Seminar Analysis and Mathematical Physics: Bian Wu (MPI Leipzig)

Scale invariant bounds for mixing in the Rayleigh-Taylor instability

I will talk about Rayleigh-Taylor instability for two miscible, incompressible, inviscid fluids. Scale-invariant estimates for the size of the mixing zone and coarsening of internal structures in the fully nonlinear regime are established. These bounds provide optimal scaling laws and reveal the strong role of dissipation in slowing down mixing. This is a joint work with Konstantin Kalinin, Govind Menon.

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