The Keller-Segel equations are widely used for describing chemotaxis in biology. Recently, a new fully discrete scheme for this model was proposed in [46], mass conservation, positivity and energy decay were proved for the proposed scheme, which are important properties of the original system. In this paper, we establish the error estimates of this scheme. Then, based on the error estimates, we derive the finite-time blowup of nonradial numerical solutions under some conditions on the mass and the moment of the initial data.
翻译：Keller-Segel 等式被广泛用于描述生物学中的染色体。最近,[46]号文件为该模型提出了一个新的完全独立的新方案,该模型在[46]号文件中提出了一个新的完全独立的方案,为拟议方案证明了质量保护、活性与能量衰减,这些是原始系统的重要特性。在本文中,我们确定了这个方案的错误估计。然后,根据错误估计,我们根据某些条件,在最初数据的质量和时间得出非放射性数字解决方案的有限时间爆炸。
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Arxiv
0+阅读 · 2023年2月16日
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