A one-dimensional Keller–Segel equation with a drift issued from the boundary
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A one-dimensional Keller-Segel equation with a drift issued from the boundary
We investigate in this note the dynamics of a one-dimensional Keller-Segel type model on the half-line. On the contrary to the classical configuration, the chemical production term is located on the boundary. We prove, under suitable assumptions, the following dichotomy which is reminiscent of the two-dimensional Keller-Segel system. Solutions are global if the mass is below the critical mass, ...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2010
ISSN: 1631-073X
DOI: 10.1016/j.crma.2010.04.009