This paper considers a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis

$ \begin{equation*} \begin{split} \left\{ {\begin{array}{*{20}{l}} {{u_t} = \Delta u - \nabla \cdot (u\nabla v) + \nabla \cdot (u\nabla w),}&{x \in \Omega ,t > 0,} \\ {{v_t} = \Delta v + \nabla \cdot (v\nabla w) - v + u,}&{x \in \Omega ,t > 0,} \\ {0 = \Delta w - w + u,}&{x \in \Omega ,t > 0,} \end{array}} \right. \end{split} \end{equation*} $

中文翻译：

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肿瘤血管生成过程中毛细芽生长趋化模型的全局通用解

本文考虑了肿瘤血管生成过程中毛细萌芽生长的趋化对流模型。

$ \ begin {equation *} \ begin {split} \ left \ {{\ begin {array} {* {20} {l}} {{u_t} = \ Delta u-\ nabla \ cdot（u \ nabla v） + \ nabla \ cdot（u \ nabla w），}＆{x \ in \ Omega，t> 0，} \\ {{v_t} = \ Delta v + \ nabla \ cdot（v \ nabla w）-v + u，}＆{x \ in \ Omega，t> 0，} \\ {0 = \ Delta w-w + u，}＆{x \ in \ Omega，t> 0，} \ end {array}} \正确的。\ end {split} \ end {equation *} $