The non-cutoff boltzmann equation with potential force in the whole space |
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Authors: | Yuanjie LEI |
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Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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Abstract: | This paper is concerned with the non-cutoff Boltzmann equation for full-range interactions with potential force in the whole space. We establish the global existence and optimal temporal convergence rates of classical solutions to the Cauchy problem when initial data is a small perturbation of the stationary solution. The analysis is based on the time-weighted energy method building also upon the recent studies of the non-cutoff Boltzmann equation in 1–3, 15] and the non-cutoff Vlasov-Poisson-Boltzmann system 6]. |
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Keywords: | non-cutoff Boltzmann potential force global existence convergence rates |
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