%0 Journal Article %T Nonlinear Transformation and Non selfsimilar Solution of Conservation Laws
非线性变换和守恒律方程的非自相似解 %A YANG Xiao-Zhou %A
杨小舟 %J 数学物理学报(A辑) %D 2005 %I %X The author proposes a kind of nonlinear transformation, under which the n dimensional scalar conservation laws and its initial value are transformed into one dimensional situation at the same time. The non-selfsimilar global solution and the expression of elementary wave are obtained. The author also discovers the essential difference and connection between non-selfsimilar and self-similar solutions. %K Non-selfsimilar solution %K Multi-dimensional conservation laws %K Shock wave %K Rarefaction wave
非自相似解 %K 高维守恒律方程 %K 激波 %K 稀疏波 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=434A156A27FEE39C&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=E158A972A605785F&sid=E04FC1B5BC47587B&eid=106103EB0EA31435&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=12