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

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

Year:    2022

Author:    Xiaobao Zhu

Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 3 : pp. 199–207

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 3 : pp. 199–207

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Mean field equation equilibrium turbulence Toda system finite graph.

Author Details

Xiaobao Zhu