具有非局部项的趋化-aptotaxis模型解的有界性

Nonlinear Differential Equations and Applications (NoDEA) Pub Date : 2024-01-06 DOI:10.1007/s00030-023-00908-1

Guoqiang Ren

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引用次数: 0

摘要

在本文中，我们考虑了在具有光滑边界的有界域中，在 Neumann 边界条件下两种不同类型（抛物-椭圆、全抛物）的带有非局部项的趋化-aptotaxis 模型。我们证明，该系统在不同情况下具有唯一的全局经典解。我们的结果概括并改进了之前已知的部分结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Boundedness of solutions to a chemotaxis–haptotaxis model with nonlocal terms

In this paper, we consider the chemotaxis–haptotaxis model of two different types (parabolic–elliptic, fully parabolic) with nonlocal terms under Neumann boundary conditions in a bounded domain with smooth boundary. We show that the system possesses a unique global classical solution in different cases. Our results generalize and improve partial previously known ones.

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Nonlinear Differential Equations and Applications (NoDEA)

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