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

Xiaobao Zhu

doi:10.4208/jpde.v35.n3.1

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

Authors

Xiaobao Zhu Department of Mathematics, School of Information, Renmin University of China, Beijing 100872, China

DOI:

https://doi.org/10.4208/jpde.v35.n3.1

Keywords:

Mean field equation, equilibrium turbulence, Toda system, finite graph.

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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Published

2022-06-29

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Issue

Vol. 35 No. 3 (2022)

Section

Articles

How to Cite

Mean Field Equations for the Equilibrium Turbulence and Toda Systems on Connected Finite Graphs. (2022). Journal of Partial Differential Equations, 35(3), 199-207. https://doi.org/10.4208/jpde.v35.n3.1