On the Fourier-Transformed Boltzmann Equation with Brownian Motion. (16th April 2015)

• Record Type: Journal Article
• Authors: Cho, Yong-Kum; Kim, Eunsil
• Other Names: Yang Xiao-Jun Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2015(2015)
• Publication Date: 2015-04-16
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2015/318618
• Languages: English
• ISSNs: 1085-3375

Abstract

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.