{
  "abstract": "This is the second part of a two-part work concerning boundary layer solutions to the coupled Chemotaxis-Navier-Stokes system in the two-dimensional half-space. In the present work, we address the convergence of boundary layer solutions to singular chemotaxis-fluid equations under slip boundary conditions with respect to the chemical diffusion-viscosity parameter $\\varepsilon$ in the two-dimensional half-plane. More precisely, we show that the boundary layer for $\\varepsilon>0$ (viscous convection coefficient) converges to the superposition of the outer layer (solution with $\\varepsilon=0$) and the inner layer as $\\varepsilon\\rightarrow0$. The outer and inner profiles are explicitly derived as in the first part\\cite{WWZ}. Furthermore, the well-posedness results of the coupled Chemotaxis-Navier-Stokes system in conormal Sobolev spaces will be presented in Appendix. They answer the question mentioned in the first part of the two-part work. This study could help the understanding of the chemotactic movement of aerobic bacteria to the water-air surface observed experimentally in fluids, and enrich the theoretical results of boundary layer in chemotactic fluid models.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11027",
  "author_total": 2,
  "authors": [
    {
      "name": "Hui Wang"
    },
    {
      "name": "Lingling Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/75sgdrn5dgrrj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11027",
  "fulltext_url": null,
  "id": "75sgdrn5dgrrj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11027",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2611|Mathematical Biology Tumor Growth"
    ]
  ],
  "openalex": "W7212219253",
  "pdf_url": "https://arxiv.org/pdf/2609.11027",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/75sgdrn5dgrrj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2609.11027",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11027"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Boundary layer analysis for the 2D Chemotaxis-Navier-Stokes system with logarithmic sensitivity, Part II. viscous vanishing limit",
  "title_text": "Boundary layer analysis for the 2D Chemotaxis-Navier-Stokes system with logarithmic sensitivity, Part II. viscous vanishing limit",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/75sgdrn5dgrrj",
  "venue": "arXiv",
  "versions": []
}