On the Fourier‐Transformed Boltzmann Equation with Brownian Motion

Yong-Kum Cho and Eunsil Kim

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

Abstract: We establish a global existence theorem, and uniqueness and stability of solutions of the Cauchy problem for the Fourier‐transformed Fokker‐Planck‐Boltzmann equation with singular Maxwellian kernel, which may be viewed as a kinetic model for the stochastic time‐evolution of characteristic functions governed by Brownian motion and collision dynamics.

Date: 2015
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https://doi.org/10.1155/2015/318618

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:318618

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