Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
Scale invariant bounds for mixing in the Rayleigh-Taylor instability
We study the 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 following techniques introduced for the Saffman-Taylor instability in [Otto and Menon, Commun.Math.Phys., 2005]. These bounds provide optimal scaling laws and reveal the strong role of dissipation in slowing down mixing.