Liu, Tai-PingTai-PingLiuYu, Shih-HsienShih-HsienYu2010-10-152018-06-282010-10-152018-06-282004-01http://ntur.lib.ntu.edu.tw//handle/246246/216238en-USBoltzmann equation: micro-macro decompositions and positivity of shock profiles.journal article10.1007/s00220-003-1030-2