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<p>This paper investigates the global existence and uniqueness of classical solutions to a four-component chemotaxis-Navier–Stokes system with logarithmic sensitivity in a smooth bounded domain <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Omega \subset \mathbb {R}^2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Ω</mi> <mo>⊂</mo> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mn>2</mn> </msup> </mrow> </math></EquationSource> </InlineEquation>. By employing Fourier localisation techniques, the Besov space framework, and detailed energy estimates, we have established a global classical solution for the two-dimensional incompressible four-component chemotaxis-Navier–Stokes equations under appropriate boundary conditions and sufficiently regular initial conditions.</p>

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Global classical solutions for a two-dimensional four-component chemotaxis-Navier–Stokes system with logarithmic sensitivity

  • 期刊论文

  • 发表日期：

    2026年6月23日

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  • Yang Yang,
  • Qian Zhang

摘要

This paper investigates the global existence and uniqueness of classical solutions to a four-component chemotaxis-Navier–Stokes system with logarithmic sensitivity in a smooth bounded domain \(\Omega \subset \mathbb {R}^2\) Ω ⊂ R 2 . By employing Fourier localisation techniques, the Besov space framework, and detailed energy estimates, we have established a global classical solution for the two-dimensional incompressible four-component chemotaxis-Navier–Stokes equations under appropriate boundary conditions and sufficiently regular initial conditions.