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<p>This paper is concerned with the interplay between fluid flow and taxis mechanisms of logarithmic type on global solvability of an initial-boundary value problem associated with a chemotaxis-fluid-type model in a smoothly bounded planar domain. In comparison with a precedent study on an attraction-only counterpart, it is shown that despite taking a logarithmic sensitivity of repulsion into account the initial-boundary value problem remains globally solvable in a generalized sense for arbitrary appropriately regular initial data and the attained solutions still enjoy certain temporally averaged boundedness properties which excludes any occurence of finite-time explosion into persistent Dirac-type measure.</p>

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A two-dimensional attraction-repulsion-Navier–Stokes system with logarithmic sensitivity. I. Global solvability

  • 期刊论文

  • 发表日期：

    2026年7月6日

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  • Ji Liu

摘要

This paper is concerned with the interplay between fluid flow and taxis mechanisms of logarithmic type on global solvability of an initial-boundary value problem associated with a chemotaxis-fluid-type model in a smoothly bounded planar domain. In comparison with a precedent study on an attraction-only counterpart, it is shown that despite taking a logarithmic sensitivity of repulsion into account the initial-boundary value problem remains globally solvable in a generalized sense for arbitrary appropriately regular initial data and the attained solutions still enjoy certain temporally averaged boundedness properties which excludes any occurence of finite-time explosion into persistent Dirac-type measure.