Steady states with unbounded mass of the Keller-Segel system
Angela Pistoia, Giusi Vaira
TL;DR
This paper investigates the stationary Keller-Segel system in a ball, demonstrating the existence of solutions that concentrate at the boundary, revealing new boundary behavior in chemotaxis models.
Contribution
It establishes the existence of boundary-concentrating solutions for the stationary Keller-Segel system, a novel result in chemotaxis modeling.
Findings
Existence of boundary-concentrating solutions
Solutions with unbounded mass at the boundary
New boundary behavior in chemotaxis models
Abstract
We consider the stationary Keller-Segel system from chemotaxis in a ball and we show the existence of a solution concentrating at the boundary of the ball.
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