GLOBAL WEAK SOLUTIONS OF THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM IN TWO DIMENSIONS
In this paper we consider the system of classical particles coupled with a Klein-Gordon field in two dimensions. We establish a-priori-bounds on the solutions of this system with initial data satisfying a size restriction derived from conservation of energy. This result, together with the smoothing of velocity averaging, yields the existence of global weak solutions to the corresponding restricted initial value problem. The size restriction is necessary since energy of the system is indefinite. Finally, we show that the weak solutions preserve the total mass.
global weak solutions Vlasov equation Klein-Gordon equation
Wei Mingjun Zhu Wanzhen
School of Science, Zhejiang University of Science and Technology, Hangzhou 310023
国际会议
广州
英文
511-518
2007-12-09（万方平台首次上网日期，不代表论文的发表时间）