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arXiv · 2001.06218

Concentration phenomena in a diffusive aggregation model

Piotr Biler·Alexandre Boritchev·Grzegorz Karch·Philippe Laurençot
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Abstract

We consider the drift-diffusion equation $$ u_t-\varepsilon \Delta u+\nabla\cdot(u\nabla K\star u)=0 $$ in the whole space with global-in-time bounded solutions. Mass concentration phenomena for radially symmetric solutions of this equation with small diffusivity are studied.

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Piotr Biler, Alexandre Boritchev, Grzegorz Karch, Philippe Laurençot. 2020-01-17. Concentration phenomena in a diffusive aggregation model. https://arxiv.org/abs/2001.06218

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