Stability of solutions to aggregation equation in bounded domains

Abstract

We consider the aggregation equation ut = ∇·(∇u−u∇K(u)) in a bounded domain Ω ⊂ R with supplemented the Neumann boundary condition and with a nonnegative, integrable initial datum. Here, K = K(u) is an integral operator. We study the local and global existence of solutions and we derive conditions which lead us to either the stability or instability of… (More)
DOI: 10.1016/j.amc.2013.11.022

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Cite this paper

@article{Celinski2014StabilityOS, title={Stability of solutions to aggregation equation in bounded domains}, author={Rafal Celinski}, journal={Applied Mathematics and Computation}, year={2014}, volume={228}, pages={49-58} }