arXiv Open Access 2023

Bifurcation from a blood flow with variable body force

Yuchao He Yongli Song Yonghui Xia

Lihat Sumber

Abstrak

This paper investigates the existence of periodic solutions in blood flow propagating through vessels with free boundary conditions via the bifurcation theory. It is rigorously proved that a local $C^1$-curve of small-amplitude periodic solutions is bifurcated. In contrast to previous studies on periodic flows that primarily focus on constant vorticity, our work emphasizes the bifurcation analysis of periodic solutions in blood flow with harmonic vorticity and external body forces. To utilize Crandall-Rabinowitz bifurcation theorem, the fundamental challenge lies in reducing a multiple variable-PDE subject to free boundary conditions to a system of one variable-ODE with fixed boundary conditions.

Topik & Kata Kunci

math.AP

Penulis (3)

Yuchao He

Yongli Song

Yonghui Xia

Format Sitasi

APA MLA BibTeX

He, Y., Song, Y., Xia, Y. (2023). Bifurcation from a blood flow with variable body force. https://arxiv.org/abs/2308.07328

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓