SYMMETRY-BREAKING COMBINED LATITUDE-LONGITUDE BIFURCATIONS FOR A FREE BOUNDARY PROBLEM MODELING SMALL PLAQUES

被引：0

作者：

Huang, Yaodan ^{[1
]}

Hu, Bei ^{[2
]}

机构：

[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China

[2] Univ Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Free boundary problem; Atherosclerosis; Stationary solution; Bifurcation; MATHEMATICAL-MODEL;

D O I：

10.3934/dcdsb.2024037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In [3] a mathematical model of the initiation and development of atherosclerosis involving LDL and HDL cholesterol, macrophages, and foam cells was introduced. The model is a highly nonlinear and coupled system of PDEs with a free boundary - the interface between the plaque and the blood flow. We establish infinite branches of symmetry-breaking stationary solutions that bifurcate from the stationary annular solution in the combined longitudelatitude direction. After establishing various estimates for our PDE system, the Crandall-Rabinowitz theorem is applied to prove our main bifurcation theorem.

引用

页码：4120 / 4149

页数：30