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arXiv · 1603.07192

On the exponential convergence rate for a non-gradient Fokker-Planck equation in Computational Neuroscience

J-A Carrillo·Simona Mancini·M. -B Tran
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Abstract

This paper concerns the proof of the exponential rate of convergence of the solution of a Fokker-Planck equation, with a drift term not being the gradient of a potential function and endowed by Robin type boundary conditions. This kind of problem arises, for example, in the study of interacting neurons populations. Previous studies have numerically shown that, after a small period of time, the solution of the evolution problem exponentially converges to the stable state of the equation.

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J-A Carrillo, Simona Mancini, M. -B Tran. 2016-03-23. On the exponential convergence rate for a non-gradient Fokker-Planck equation in Computational Neuroscience. https://arxiv.org/abs/1603.07192

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