SPIRAL SOLUTION TO THE TWO-DIMENSIONAL TRANSPORT EQUATIONS  

作　　者：王振 张庆玲 

机构地区：[1]Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2010年第6期2110-2128,共19页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China (10871199);one hundred talent project from the Chinese Academy of Sciences

摘　　要：The existence of spiral solution for the two-dimensional transport equations is considered in the present paper. Based on the notion of generalized solutions in the sense of Lebesgue-stieltjes integral, the global weak solution of transport equations which includes δ-shocks and vacuum is constructed for some special initial data.The existence of spiral solution for the two-dimensional transport equations is considered in the present paper. Based on the notion of generalized solutions in the sense of Lebesgue-stieltjes integral, the global weak solution of transport equations which includes δ-shocks and vacuum is constructed for some special initial data.

关 键 词：transport equations generalized solutions δ-shocks 

分 类 号：O175[理学—数学]