Suppressing Chemotactic Blow-Up Through a Fast Splitting Scenario on the Plane

We revisit the question of global regularity for the Patlak–Keller–Segel (PKS) chemotaxis model. The classical 2D parabolic-elliptic model blows up for initial mass M > 8 π . We consider a more realistic scenario which takes into account the flow of the ambient environment induced by harmonic pot...

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Veröffentlicht in:	Archive for rational mechanics and analysis 2019-05, Vol.232 (2), p.951-986
Hauptverfasser:	He, Siming, Tadmor, Eitan
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical Mechanics Complex Systems Fields (mathematics) Fluid- and Aerodynamics Mathematical and Computational Physics Physics Physics and Astronomy Splitting Theoretical Two dimensional models
Online-Zugang:	Volltext
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