Search
Talk

Coarsening rates for the dynamics of slipping droplets

  • Georgy Kitavtsev (MPI MiS, Leipzig)
A3 01 (Sophus-Lie room)

Abstract

In this talk the dynamics of coarsening liquid nanoscopic droplets will be described in the framework of the lubrication approximation for different slip regimes considered at the solid substrate. We start with the introduction of underlying lubrication equations and shortly summarize existence results for them. Next, a sharp interface model for the evolution of droplets is derived in two and three dimensional cases. By that one arrives at the closed set of reduced ODE models, analytical and numerical investigation of which allows for derivation of the coarsening rates dependence on the slip-length. Finally, we discuss a possibility for the rigorous justification of the observed coarsening rates.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher