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SPIRAL SOLUTION TO THE TWO-DIMENSIONAL TRANSPORT EQUATIONS 被引量:1

SPIRAL SOLUTION TO THE TWO-DIMENSIONAL TRANSPORT EQUATIONS
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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.
作者 王振 张庆玲
出处 《Acta Mathematica Scientia》 SCIE CSCD 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
关键词 transport equations generalized solutions δ-shocks transport equations generalized solutions δ-shocks
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