We study the existence of steady states to the Keller–Segel system with linear chemotactical sensitivity function on a smooth bounded domain in RN , N ≥ 3, having rotational symmetry. We find three different types of chemoattractant concentration which concentrate along suitable (N −2)-dimensional minimal submanifolds of the boundary. The corresponding density of the cellular slime molds exhibit in the limit one or more Dirac measures supported on those boundary submanifolds.
Boundary concentration phenomena for the higher-dimensional Keller–Segel system / Agudelo, Oscar; Pistoia, Angela. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 55:6(2016). [10.1007/s00526-016-1083-7]
Boundary concentration phenomena for the higher-dimensional Keller–Segel system
PISTOIA, Angela
2016
Abstract
We study the existence of steady states to the Keller–Segel system with linear chemotactical sensitivity function on a smooth bounded domain in RN , N ≥ 3, having rotational symmetry. We find three different types of chemoattractant concentration which concentrate along suitable (N −2)-dimensional minimal submanifolds of the boundary. The corresponding density of the cellular slime molds exhibit in the limit one or more Dirac measures supported on those boundary submanifolds.| File | Dimensione | Formato | |
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