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arXiv · 1503.01477

On Stationary Solutions of the 2D Doi-Onsager Model

Mohammad Ali Niksirat·Xinwei Yu
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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.

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Mohammad Ali Niksirat, Xinwei Yu. 2015-03-04. On Stationary Solutions of the 2D Doi-Onsager Model. https://arxiv.org/abs/1503.01477

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