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Papers

Global wellposedness of nutrient-taxis systems derived by a food metric

http://10.3934/dcds.2021104

  • AuthorJaewook Ahn,Sun-Ho Choi,유민하
  • JournalDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (1078-0947), 41, 6001 ~ 6022
  • Enrollment typeSCIE
  • publication date 20211201
This paper deals with the nutrient-taxis system derived by a food metric. The system was proposed in [Sun-Ho Choi and Yong-Jung Kim:Chemotactic traveling waves by metric of food, SIAM J. Appl. Math. 75 (2015), 2268{2289] using geometric ideas without gradient sensing, and has a simple form but contains a singular diffusive coefficient on the equation for the organism side.