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Global existence and decay of solutions for soft potentials to the Fokker–Planck–Boltzmann equation without cut-off

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Abstract This paper is concerned with the large-time behavior of classical solutions near a given global Maxwellian to the Cauchy problem of the Fokker–Planck–Boltzmann equation for non-cutoff soft potentials. Our… Click to show full abstract

Abstract This paper is concerned with the large-time behavior of classical solutions near a given global Maxwellian to the Cauchy problem of the Fokker–Planck–Boltzmann equation for non-cutoff soft potentials. Our analysis is based on the coercivity of the Fokker–Planck operator and elementary weighted energy method.

Keywords: global existence; fokker planck; soft potentials; boltzmann equation; planck boltzmann

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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