Global Existence and Asymptotic Behavior of Classical Solutions for a 3D Two-Species Keller-Segel-Stokes System with Competitive Kinetics

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  • Global existence and asymptotic behavior of classical solutions for a 3D two‐species chemotaxis‐Stokes system with competitive kinetics
  • Global existence and asymptotic behavior of classical solutions for a 3D two-species chemotaxis-Stokes system with competitive kinetics

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<p>This paper deals with a two-species Keller-Segel-Stokes system with competitive kinetics under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. The main purpose of this paper is to obtain global existence and stabilization of classical solutions to the system in the 3-dimensional case under the smallness conditions for chemotactic interactions. To this end, this paper develops a maximal Sobolev regularity result for Stokes operator involving a time weighted function, which seems new in the existing literature (see Lemma 2.3 in this paper).</p>

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  • Funkcialaj Ekvacioj

    Funkcialaj Ekvacioj 62 (3), 387-408, 2019

    Division of Functional Equations, The Mathematical Society of Japan

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