Distributional solutions of the Boltzmann equation with infinite energy

作者:Wei Jinbo; Zhang Xianwen*
来源:Journal of Mathematical Analysis and Applications, 2014, 417(1): 327-335.
DOI:10.1016/j.jmaa.2014.03.023

摘要

We prove an existence theorem of distributional solutions to the Boltzmann equation for soft potentials with angular cut-off and initial data close to the local Maxwellian M-0 = exp(-vertical bar x-xi vertical bar(2)/2). The solutions constructed in this paper have infinite mass and energy since they are located in a neighborhood of the Maxwellian M(t, x, xi) = exp(-vertical bar x-xi(1+t)vertical bar(2)) (t >= 0).

全文