대한수학회지 (Journal of the Korean Mathematical Society)

  • 제57권1호
  • /
  • Pages.215-247
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  • 2020
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR IN A THREE-DIMENSIONAL TWO-SPECIES CHEMOTAXIS-STOKES SYSTEM WITH TENSOR-VALUED SENSITIVITY

  • Liu, Bin (School of Mathematics and Statistics Huazhong University of Science and Technology) ;
  • Ren, Guoqiang (School of Mathematics and Statistics Huazhong University of Science and Technology)
  • 투고 : 2019.01.09
  • 심사 : 2019.08.14
  • 발행 : 2019.12.30
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초록

In this paper, we deal with a two-species chemotaxis-Stokes system with Lotka-Volterra competitive kinetics under homogeneous Neumann boundary conditions in a general three-dimensional bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by some Lp-estimate techniques, we show that the system possesses at least one global and bounded weak solution, in addition to discussing the asymptotic behavior of the solutions. Our results generalizes and improves partial previously known ones.

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과제정보

연구 과제 주관 기관 : NNSF of China

The authors express their gratitude to the anonymous reviewers and editors for their valuable comments and suggestions which led to the improvement of the original manuscript.

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