Global existence and boundedness of solutions of a chemotaxis system with logistic source
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O175.29

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    Abstract:

    The properties of solutions of a class of chemotaxis system with logistic source are considered. By using prior estimates and the decay properties of Neumann heat semigroup, it is proved that there exists a unique global classical solution for the homogenous Neumann initial value problem in three-dimensional bounded domain with smooth boundary if the quadratic coefficient of the logistic source is sufficiently large.

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Cite this article as: LIN Jing-Qiu, HE Pu, HOU Zhi-Bo. Global existence and boundedness of solutions of a chemotaxis system with logistic source [J]. J Sichuan Univ: Nat Sci Ed, 2018, 55: 897.

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History
  • Received:March 21,2018
  • Revised:May 08,2018
  • Adopted:May 10,2018
  • Online: October 08,2018
  • Published: