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arXiv · 1212.1854

Equivariant mean field flow

Jean-Baptiste Castéras
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Abstract

We consider a gradient flow associated to the mean field equation on $(M,g)$ a compact riemanniann surface without boundary. We prove that this flow exists for all time. Moreover, letting $G$ be a group of isometry acting on $(M,g)$, we obtain the convergence of the flow to a solution of the mean field equation under suitable hypothesis on the orbits of points of $M$ under the action of $G$.

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Jean-Baptiste Castéras. 2012-12-09. Equivariant mean field flow. https://doi.org/10.1016/j.geomphys.2013.08.011

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