摘要
采用DiPerna和Lions为非相对论Boltzmann方程给出的方法,证明带有包括某些硬碰撞的相对论散射截面的假设和满足有限的质量,惯性,能量和熵的初值的相对论Boltzmann方程柯西问题存在一个整体温和解.
By using the DiPerna and Lions techniques for the nonrelativistic Boltzmann equation, it is shown that there exists a global mild solution to the Cauchy problem for the relativistic Boltzmann equation with the assumptions of the relativistic scattering cross section including some relativistic hard interactions and the initial data satifying finite mass, "inertia", energy and entropy.
出处
《数学年刊(A辑)》
CSCD
北大核心
2008年第1期27-38,共12页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10271121)
中俄合作基金(中方No.10511120278/10611120371
俄方No.04-02-39026)
留学回国人员基金资助的项目