Kyungpook Mathematical Journal

  • 제63권2호
  • /
  • Pages.141-154
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  • 2023
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Numerical Nonlinear Stability of Traveling Waves for a Chemotaxis Model

  • Min-Gi Lee (Department of Mathematics, Kyungpook National University)
  • 투고 : 2023.03.26
  • 심사 : 2023.04.20
  • 발행 : 2023.06.30
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초록

We study the stability of traveling waves of a certain chemotaxis model. The traveling wave solution is a central object of study in a chemotaxis model. Kim et al. [8] introduced a model on a population and nutrient densities based on a nonlinear diffusion law. They proved the existence of traveling waves for the one dimensional Cauchy problem. Existence theory for traveling waves is typically followed by stability analysis because any traveling waves that are not robust against a small perturbation would have little physical significance. We conduct a numerical nonlinear stability for a few relevant instances of traveling waves shown to exist in [8]. Results against absolute additive noises and relative additive noises are presented.

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과제정보

National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2020R1A4A1018190, 2021R1C1C1011867).

참고문헌

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