| ON THE CAUCHY PROBLEM OF TRANSPORTATION EQUATIONS |
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| 作者姓名： | 王振 黄飞敏 丁夏畦 |
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| 作者单位： | WANG ZHEN(Wuhan Institute of Mathematical Physics，the Chinese Academy of Sciences，Wuhan 430071，China and Institute of Mathematics，Shantou University，Shantou，515063，China |
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| 摘 要： | 1.IntroductionInthepreselltpaper,weconsiderthetransportationsystemwithinitialdatawherepanduaredensityandvelocityrespectively.Thesystemofconservationlaws(1.1)describesthefluidmechanicswithconstalltpressuxe,whichisusedinplasmaphysicswherepressureisassumedtobeaconstant.Thissystemisnon--strictlyhyperbolicwithadoubleeigenvalueAl~AZ=albothAl,AZbeinglinearlydegenerate.AndtheCauchyproblemforthissystemisnotwell-posedintheclassofmeasurableandboundedfunctions(see3]).Inthepresentpaper,weintroduceanew…
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ON THE CAUCHY PROBLEM OF TRANSPORTAION EQUATIONS |
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| WANG ZHEN.ON THE CAUCHY PROBLEM OF TRANSPORTATION EQUATIONS[J].Acta Mathematicae Applicatae Sinica,1997(2). |
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| Authors: | WANG ZHEN |
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| Abstract: | In this paper, we prove the global existence of generalized solutions of Cauchy problem for transportation equations; moreover, we construct the solution by generalized potential. |
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| Keywords: | Hyperbolic system generalized solution Lebesgue-Stieltjes integral generalized potential |
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