Finite volume methods for degenerate chemotaxis model
Finite volume methods for degenerate chemotaxis model
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DOI：
10.1016/j.cam.2011.02.023
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发表时间：
2011-05
期刊：
影响因子：
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通讯作者：
B. Andreianov;M. Bendahmane;Mazen Saad
中科院分区：
文献类型：
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作者：
B. Andreianov;M. Bendahmane;Mazen Saad
给出了求解退化趋化性模型的有限体积法，并给出了数值算例。该模型由细胞种群密度的退化抛物型对流扩散偏微分方程和化学引诱剂浓度的抛物型偏微分方程组成。证明了离散解的存在性，并且该格式是收敛的。
A finite volume method for solving the degenerate chemotaxis model is presented, along with numerical examples. This model consists of a degenerate parabolic convection–diffusion PDE for the density of the cell-population coupled to a parabolic PDE for the chemoattractant concentration. It is shown that discrete solutions exist, and the scheme converges.