Sharp interface limit of a diffuse interface model for tumor-growth
Sharp interface limit of a diffuse interface model for tumor-growth
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DOI：
10.4310/cms.2019.v17.n6.a4
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发表时间：
2017-08
影响因子：
1
通讯作者：
Mingwen Fei;T. Tao;Wei Wang
中科院分区：
文献类型：
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作者：
Mingwen Fei;T. Tao;Wei Wang
我们考虑肿瘤生长的扩散界面模型的渐近极限时的扩散界面的厚度成正比的参数$\varepsilon $趋于零。一个近似的解决方案，显示明确的行为，真正的解决方案，为小$\vareprogens $将构造通过使用匹配展开法。基于能量方法，特别是一个谱条件，我们建立了近似解与真解之差的极小估计。
We consider the asymptotic limit of a diffuse interface model for tumor-growth when a parameter $\varepsilon$ proportional to the thickness of the diffuse interface goes to zero. An approximate solution which shows explicitly the behavior of the true solution for small $\varepsilon$ will be constructed by using matched expansion method. Based on the energy method, a spectral condition in particular, we establish a smallness estimate of the difference between the approximate solution and the true solution.