A coarsening model with local interactions

  • Barbara Niethammer (Rheinische Friedrich-Wilhelms-Universität Bonn)
A3 01 (Sophus-Lie room)


We consider particles on an infinite one-dimensional lattice whose evolution is governed by a discretization of a backward nonlinear diffusion equation. Such a system is one of the simplest examples of an infinite coarsening system with local interactions.

In this talk I will show how to prove global existence of solutions under a density assumption on the initial data, give examples of blow-up and non-uniqueness and discuss different coarsening scenarios.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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