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摘要
This paper is the continuation of (Casteras 2015), in which we investigated a gradient flow related to the mean field type equation. First, we show that this flow exists for all time. Next, using the compactness result of Casteras (2015), we prove, under a suitable hypothesis on its energy, the convergence of the flow to a solution of the mean field type equation. We also get a divergence result if the energy of the initial data is largely negative.
- 出版日期2015-8
