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September/October 2011 On the well posedness of a class of PDEs including porous medium and chemotaxis effect
Messoud Efendiev, Takasi Senba
Adv. Differential Equations 16(9/10): 937-954 (September/October 2011).

Abstract

In this article we deal with a class of degenerate parabolic systems which exhibit two phenomena: porous medium effects and chemotaxis ones. Such classes of equations arise in the modelling (on the mesoscale) of biomass spreading mechanisms via chemotaxis. Under certain "balance conditions'' on the order of the porous medium degeneracy and the growth of the chemotactic functions, we prove well posedness.

Citation

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Messoud Efendiev. Takasi Senba. "On the well posedness of a class of PDEs including porous medium and chemotaxis effect." Adv. Differential Equations 16 (9/10) 937 - 954, September/October 2011.

Information

Published: September/October 2011
First available in Project Euclid: 17 December 2012

zbMATH: 1231.35088
MathSciNet: MR2850759

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Rights: Copyright © 2011 Khayyam Publishing, Inc.

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Vol.16 • No. 9/10 • September/October 2011
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