非线性条件下交叉扩散流体的增长/衰减率

数学物理学报 ›› 2026, Vol. 46 ›› Issue (3): 1132-1141.

非线性条件下交叉扩散流体的增长/衰减率

李远飞()

广州华商学院数字化技术与应用研究院广州 511300

收稿日期:2025-04-14 修回日期:2025-06-18 出版日期:2026-06-26 发布日期:2026-06-16
作者简介:李远飞, E-mail:liyuanfei@gdhsc.edu.cn; liqfd@163.com
基金资助:
2025 广州华商学院科研团队项目(2025HSYLTD1)

Growth Decay Rates of Cross Diffusion Fluid Under Nonlinear Conditions

Yuanfei Li()

Institute of Digital Technology and Applications, Guangzhou Huashang College, Guangzhou 511300

Received:2025-04-14 Revised:2025-06-18 Online:2026-06-26 Published:2026-06-16
Supported by:
Guangzhou Huashang College Research Team Project(2025HSYLTD1)

摘要/Abstract

摘要：

考虑非齐次边界条件下的交叉扩散流体, 利用能量分析法, 研究了交叉扩散流体在半无穷柱体上解的空间性质. 当柱体的截面与轴向变量相关时, 得到了解的增长/衰减率. 最后, 作者把主要结果推广到了两种特殊的柱体上.

关键词: 交叉扩散流体, 增长/衰减率, 空间性质.

Abstract:

Considering the cross diffusion fluid under non-homogeneous boundary conditions, the spatial properties of the solution of the cross diffusion fluid on a semi-infinite cylinder are studied, by using energy analysis method. When the cross-section of the cylinder is related to the axial variable, the growth decay rates are obtained. Finally, we extend the main results to two specific types of cylinders.

Key words: cross-diffusion fluid, growth decy rates, spatial properties.

中图分类号:

O175.29

李远飞. 非线性条件下交叉扩散流体的增长/衰减率[J]. 数学物理学报, 2026, 46(3): 1132-1141.

Yuanfei Li. Growth Decay Rates of Cross Diffusion Fluid Under Nonlinear Conditions[J]. Acta mathematica scientia,Series A, 2026, 46(3): 1132-1141.

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