In dimensions n ≥ 3, radially symmetric solutions to the parabolic-elliptic Keller-Segel system form a Dirac mass at the origin continuously via a minimal measure-valued solution, with the singular mass θ(t) increasing strictly and absorbing the entire mass asymptotically.
Finite-timeblow-upinthehigher-dimensionalparabolic–parabolickeller–segelsystem.Journal de Mathé- matiques Pures et Appliquées, 100(5):748–767
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Formation and Behavior of Dirac Singularities in the Parabolic-Elliptic Keller-Segel System in Dimensions $n\geq 3$
In dimensions n ≥ 3, radially symmetric solutions to the parabolic-elliptic Keller-Segel system form a Dirac mass at the origin continuously via a minimal measure-valued solution, with the singular mass θ(t) increasing strictly and absorbing the entire mass asymptotically.