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

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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Submitted on : Wednesday, March 23, 2016 - 2:27:50 PM
Last modification on : Thursday, July 4, 2019 - 3:10:03 PM
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  • HAL Id : hal-01292611, version 1
  • ARXIV : 1603.07192

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J-A Carrillo, Simona Mancini, M.-B Tran. On the exponential convergence rate for a non-gradient Fokker-Planck equation in Computational Neuroscience. 2016. ⟨hal-01292611⟩

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