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THE RIEMANN PROBLEM FOR A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS WITH NON-CLASSICAL WEAK SOLUTIONS:SOME ONE-J AND NON-R INITIAL DATA
作者姓名:胡家信
作者单位:Young Scientists Laboratory of Mathematical Physics,Wuhan Institute of Physics and Mathematics.Academia Sinica. Wuhan 450071,China
摘    要:1IntroductionWeareconcernedwiththefollowing2x2nonstrictly11yperbolicsystemofconservationlawswithinitialdatawhere(m,yi),i=1,2,3,areconstantstates.Wecall(1.1),(1.2)aRiemanll-typeproblelll,.Byaweaksolutionto(1.1),(1.2)wemeanapairofgeneralizedfullctions('IL.l,)(x,y.t)satisfyinglffeceivedFeb.17,1995;revisedApr.23,1996.SuPPortedbyNSFC(YOuth).foreacllof(T,y,f)6C:(R'xR )alld(u,U)(:r,;(/,f)~(it..())(x,y.0)ast-- 0 forallllostevery(x,if/,t)ERZxR .111(1.3).wealwaysassulllethat('(ti))(T,y.f)isals…

关 键 词:Riemann  problem    conservation  laws  δ-shock  wave

THE RIEMANN PROBLEM FOR A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS WITH NON-CLASSICAL WEAK SOLUTIONS:SOME ONE-J AND NON-R INITIAL DATA
Hu Jiaxin.THE RIEMANN PROBLEM FOR A TWO-DIMENSIONAL HYPERBOLIC SYSTEM OF CONSERVATION LAWS WITH NON-CLASSICAL WEAK SOLUTIONS:SOME ONE-J AND NON-R INITIAL DATA[J].Acta Mathematica Scientia,1997(4).
Authors:Hu Jiaxin
Abstract:
Keywords:
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