Scholarlink

<p>We consider the two-dimensional chemotaxis-shallow water system, which is derived by Che et al. (J Differ Equ 261:6758–6789, 2016). By employing a refined Bony decomposition and <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="33_2025_2430_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation> product estimates in Besov spaces, we prove the global well-posedness of strong solutions as well as associated time-decay estimates for the Cauchy problem near an equilibrium state. In contrast to the previous results, a large class of highly oscillating initial data are allowed; moreover, the bacterial density is allowed to vanish here.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Global well-posedness and large-time behavior of solutions to the chemotaxis-shallow water system

  • 期刊论文

  • 发表日期：

    2025年1月28日

查看全文
  • Tao Liang,
  • Yongsheng Li,
  • Xiaoping Zhai

摘要

We consider the two-dimensional chemotaxis-shallow water system, which is derived by Che et al. (J Differ Equ 261:6758–6789, 2016). By employing a refined Bony decomposition and \(L^p\) L p product estimates in Besov spaces, we prove the global well-posedness of strong solutions as well as associated time-decay estimates for the Cauchy problem near an equilibrium state. In contrast to the previous results, a large class of highly oscillating initial data are allowed; moreover, the bacterial density is allowed to vanish here.