Mean Field Equations for the Equilibrium Turbulence and Toda Systems on Connected Finite Graphs

Pub Date : 2022-06-01 DOI:10.4208/jpde.v35.n3.1

Xiao-Dan Zhu

引用次数: 5

Abstract

. In this paper, we study existence of solutions of mean ﬁeld equations for the equilibrium turbulence and Toda systems on connected ﬁnite graphs. Our method is based on calculus of variations, which was built on connected ﬁnite graphs by Grigor’yan, Lin and Yang.

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有限连通图上平衡湍流和Toda系统的平均场方程

．本文研究了有限连通图上平衡湍流系统和Toda系统平均场方程解的存在性。我们的方法是基于变分法，它是由Grigor 'yan, Lin和Yang建立在连通有限图上的。

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