A kinetic chemotaxis model with internal states and temporal sensing

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2021-11-17 DOI:10.3934/krm.2021043

Zhian Wang

引用次数: 0

Abstract

By employing the Fourier transform to derive key a priori estimates for the temporal gradient of the chemical signal, we establish the existence of global solutions and hydrodynamic limit of a chemotactic kinetic model with internal states and temporal gradient in one dimension, which is a system of two transport equations coupled to a parabolic equation proposed in [4].

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具有内部状态和时间感知的动力学趋化模型

通过使用傅里叶变换推导出化学信号时间梯度的关键先验估计，我们建立了一维具有内态和时间梯度的趋化动力学模型的整体解和流体动力极限的存在性，该模型是一个与[4]中提出的抛物方程耦合的两个输运方程系统。

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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来源期刊

Kinetic and Related Models 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling. It includes studies on models arising from physics, engineering, finance, biology, human and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems. A more detailed indication of its scope is given by the subject interests of the members of the Board of Editors. Invited expository articles are also published from time to time.