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On the Fourier-transformed Boltzmann equation with Brownian motion - MaRDI portal

On the Fourier-transformed Boltzmann equation with Brownian motion (Q2520481)

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On the Fourier-transformed Boltzmann equation with Brownian motion
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    On the Fourier-transformed Boltzmann equation with Brownian motion (English)
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    13 December 2016
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    Summary: 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.
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    Fokker-Planck-Boltzmann equation
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    Brownian motion
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    collision dynamics
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