The Lifshitz-Slyozov system with inflow boundary conditions

Speaker:  Juan Calvo - Universidad de Granada
  Thursday, February 6, 2025 at 11:00 AM Sala Verde

The Lifshitz-Slyozov system describes a mixture of monomers and aggregates, where monomers can attach to or detach from already existing clusters. The aggregate distribution solves a transport equation with respect to a size variable, whose transport rates are coupled to the dynamic of monomers in a nonlocal fashion. Recent applications require a nonlinear boundary condition at zero size. We analyze the well-posedness of the resulting model, showing the existence and uniqueness of local-in-time solutions, together with continuation criteria. We also give partial results on global existence and the related long time behavior.


Programme Director
Ramon Oliver Bonafoux

External reference
Publication date
January 31, 2025

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