Acta mathematica scientia, Series B >
THE NON-CUTOFF BOLTZMANN EQUATION WITH POTENTIAL FORCE IN THE WHOLE SPACE
Received date: 2013-03-13
Revised date: 2013-05-20
Online published: 2014-09-20
Supported by
This work was supported by the Fundamental Research Funds for the Central Universities.
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].
Key words： non-cutoff Boltzmann; potential force; global existence; convergence rates
LEI Yuan-Jie . THE NON-CUTOFF BOLTZMANN EQUATION WITH POTENTIAL FORCE IN THE WHOLE SPACE[J]. Acta mathematica scientia, Series B, 2014 , 34(5) : 1519 -1539 . DOI: 10.1016/S0252-9602(14)60101-6
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