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<p>This paper studies the global existence and decay estimates of smooth solutions to the 3D tropical climate model with linear damping velocity. Under the small initial data assumption, the existence and uniqueness of global smooth solutions to the system are firstly examined. Secondly, the more rapid time decay rates of the solutions in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40840_2025_1936_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(\dot{H}^{m}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mover accent="true"> <mi>H</mi> <mo>˙</mo> </mover> <mi>m</mi> </msup> </math></EquationSource> </InlineEquation> are also investigated.</p>

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Time decay of global solution for the generalized tropical climate model

  • 期刊论文

  • 发表日期：

    2025年8月21日

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  • Yana Guo,
  • Xiao Li,
  • Boqing Dong

摘要

This paper studies the global existence and decay estimates of smooth solutions to the 3D tropical climate model with linear damping velocity. Under the small initial data assumption, the existence and uniqueness of global smooth solutions to the system are firstly examined. Secondly, the more rapid time decay rates of the solutions in \(\dot{H}^{m}\) H ˙ m are also investigated.