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Global Dynamics of a Coupled Chemotaxis-Fluid Model on Bounded Domains

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Abstract

This paper is concerned with the long-time behavior of large amplitude classical solutions to an initial-boundary value problem of a coupled chemotaxis-fluid model which describes the so-called “chemotactic Boycott effect” arising from the interplay of chemotaxis and diffusion of nutrients or signaling chemicals in bacterial suspensions. The result is proved via energy method.

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, People’s Republic of China

    Jishan Fan

  2. Department of Mathematics, Tulane University, New Orleans, LA, 70118, USA

    Kun Zhao

Authors
  1. Jishan Fan
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  2. Kun Zhao
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Corresponding author

Correspondence to Kun Zhao.

Additional information

Communicated by S. Friedlander

J. Fan was supported by National Science Foundation of China (No. 11171154). K. Zhao gratefully acknowledges a start-up funding from the Department of Mathematics at Tulane University.

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Fan, J., Zhao, K. Global Dynamics of a Coupled Chemotaxis-Fluid Model on Bounded Domains. J. Math. Fluid Mech. 16, 351–364 (2014). https://doi.org/10.1007/s00021-013-0162-1

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  • DOI: https://doi.org/10.1007/s00021-013-0162-1

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