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2013 Global Existence and Convergence Rates for the Strong Solutions in H2 to the 3D Chemotaxis Model
Weijun Xie, Yinghui Zhang, Yuandong Xiao, Wei Wei
J. Appl. Math. 2013: 1-9 (2013). DOI: 10.1155/2013/391056

Abstract

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 initial perturbation is bounded; the optimal convergence rates are also obtained for such a solution. The proofs are obtained by combining spectral analysis with energy methods.

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Weijun Xie. Yinghui Zhang. Yuandong Xiao. Wei Wei. "Global Existence and Convergence Rates for the Strong Solutions in H2 to the 3D Chemotaxis Model." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/391056

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950646
MathSciNet: MR3142581
Digital Object Identifier: 10.1155/2013/391056

Rights: Copyright © 2013 Hindawi

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