A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis.
Kuiper, Hendrik J. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kuiper, Hendrik J. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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An, Yulian, Ma, Ruyun (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Akdim, Youssef, Bennouna, Jaouad, Mekkour, Mounir (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kolkovska, Ekaterina T.;Lopez-Mimbela, Jose Alfredo, Perez, Aroldo (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Piotr Biler, Tadeusz Nadzieja (1993)
Colloquium Mathematicae
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We consider parabolic equations with nonlocal coefficients obtained from the Vlasov-Fokker-Planck equations with potentials. This class of equations includes the classical Debye system from electrochemistry as well as an evolution model of self-attracting clusters under friction and fluctuations. The local in time existence of solutions to these equations (with no-flux boundary conditions) and properties of stationary solutions are studied.
Khellaf, Hassane (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kozlov, Vladimir (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Laine, Ilpo, Yang, Ronghua (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Huang, Zhi Gang, Sun, Gui Rong (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Chen, Wenjing, Yang, Jianfu (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Pachpatte, Baburao G. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Avramescu, Cezar, Vladimirescu, Cristian (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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