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On the Fourier-Transformed Boltzmann Equation with Brownian Motion

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  • Yong-Kum Cho
  • Eunsil Kim

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.

Suggested Citation

  • Yong-Kum Cho & Eunsil Kim, 2015. "On the Fourier-Transformed Boltzmann Equation with Brownian Motion," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-9, April.
    • Handle: RePEc:hin:jnlaaa:318618
    DOI: 10.1155/2015/318618
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