On Stationary Solutions of the 2D Doi-Onsager Model
Analysis of PDEs
2015-03-06 v1
Abstract
We study the 2D Doi--Onsager models with general potential kernel, with special emphasis on the classical Onsager kernel. Through application of topological methods from nonlinear functional analysis, in particular the Leray--Schauder degree theory, we obtain the uniqueness of the trivial solution for low temperatures as well as the local bifurcation structure of the solutions.
Keywords
Cite
@article{arxiv.1503.01477,
title = {On Stationary Solutions of the 2D Doi-Onsager Model},
author = {Mohammad Ali Niksirat and Xinwei Yu},
journal= {arXiv preprint arXiv:1503.01477},
year = {2015}
}
Comments
15 pages