Existence of generalized solutions for Keller-Segel-Navier-Stokes equations with degradation in dimension three

Kyungkeun Kang, Dongkwang Kim

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1 Citation (Scopus)

Abstract

We construct generalized solutions for the Keller-Segel system with a degradation source coupled to Navier Stokes equations in three dimensions, in case that the power of degradation is smaller than quadratic. Furthermore, if the logistic type source is purely damping with no growing effect, we prove that solutions converge to zero in some norms and provide upper bounds of convergence rates in time.

Original languageEnglish
JournalMathematics In Engineering
Volume4
Issue number5
DOIs
Publication statusPublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 the Author(s),

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Mathematical Physics
  • Analysis

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