作为非局部组织生长模型无粘极限的退化交叉扩散方程组
A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model
摘要：
近年来，人们对多相组织生长模型的兴趣激增。根据组织的类型，速度通过斯托克定律、布林克曼定律或达西定律与压力相关联。虽然在文献中已经研究了这些速度-压力关系中的每一个，但是很少强调它们之间的精细关系。在本文中，我们要解决这个缺乏在文献中，提供一个严格的论据，桥梁之间的差距粘弹性肿瘤模型（Brinkman型）和无粘肿瘤模型（达西型）。
英文摘要：
In recent years, there has been a spike in the interest in multi-phase tissue growth models. Depending on the type of tissue, the velocity is linked to the pressure through Stoke's law, Brinkman's law or Darcy's law. While each of these velocity-pressure relations has been studied in the literature, little emphasis has been placed on the fine relationship between them. In this paper, we want to address this dearth in the literature, providing a rigorous argument that bridges the gap between a viscoelastic tumour model (of Brinkman type) and an inviscid tumour model (of Darcy type).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
