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<p>In this paper, we investigate an initial-boundary-value problem of a hyperbolic–parabolic–parabolic model for vasculogenesis in dimension one. We prove the existence and uniqueness of global classical solution, the existence of weak solutions and the existence of unique strong solution for initial data <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="33_2025_2454_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\rho _0\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ρ</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation> without vacuum states.</p>

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Global solutions to a viscous vasculogenesis model in one-dimension space

  • 期刊论文

  • 发表日期：

    2025年3月19日

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  • Senming Chen,
  • Qingqing Liu

摘要

In this paper, we investigate an initial-boundary-value problem of a hyperbolic–parabolic–parabolic model for vasculogenesis in dimension one. We prove the existence and uniqueness of global classical solution, the existence of weak solutions and the existence of unique strong solution for initial data \(\rho _0\) ρ 0 without vacuum states.