Global Existence and Convergence Rates for the Strong Solutions in H2 to the 3D Chemotaxis Model

We are concerned with a 3D chemotaxis model arising from biology, which is a coupled hyperbolic-parabolic system. We prove the global existence of a strong solution when H2-norm of the initial perturbation around a constant state is sufficiently small. Moreover, if additionally, L1-norm of the initi...

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Bibliographic Details
Main Authors: Weijun Xie, Yinghui Zhang, Yuandong Xiao, Wei Wei
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/391056