Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system

Comptes Rendus Mathematique

Volumn 347, Issue 5-6, 2009, Pages 237-242

  Cieślak, Tomasz ^a   Laurençot, Philippe ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 61649113706     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2009.01.016     Document Type: Article

References (7)

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3. T. Cieślak, Ph. Laurençot, Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system, in preparation
4. Cieślak T., and Winkler M. Finite-time blow-up in a quasilinear system of chemotaxis. Nonlinearity 21 (2008) 1057-1076
5. Jäger W., and Luckhaus S. On explosions of solutions to a system of partial differential equations modelling chemotaxis. Trans. Amer. Math. Soc. 329 (1992) 819-824
6. Keller E.F., and Segel L.A. Initiation of slide mold aggregation viewed as an instability. J. Theor. Biol. 26 (1970) 399-415
7. Nagai T. Blow-up of radially symmetric solutions to a chemotaxis system. Adv. Math. Sci. Appl. 5 (1995) 581-601