【摘要】 该文主要研究一类描述肿瘤毛细血管芽生长的趋化-对流模型的初边值问题■其中Ω??R^N（N≥1）是具有光滑边界的有界区域,χ₁,χ₂,ξ₁> 0.当χ₁和χ₂充分小时,存在整体有界的经典解.进一步,当ξ₁和χ₂充分小时,解以指数形式收敛到常平衡态（ū₀,ū₀,ū₀）,其中ū₀=1/|Ω|∫_Ωudx.更多还原

【Abstract】 This article mainly investigates the initial boundary value problem of a chemotaxisconvection model pertaining to the growth of capillary sprouts during tumor angiogenesis ■ where Ω??R^N（N≥1） is a smoothly bounded domain with Neumman boundary condition.The parameters χ₁,χ₂ and ξ₁> 0.We demonstrate that this model admits a globally bounded classical solution under the smallness condition on χ₁ and χ₂.Moreover,this solution will converge exponentially to its constant steady state（ū₀,ū₀,ū₀） under the further smallness condition on ξ₁ and ξ₂,where ū₀=1/|Ω|∫_Ωudx.更多还原