The Riemann Problem for a Two-Dimensional Hyperbolic System of Nonlinear Conservation Laws: Multiplication of Distribution Solutions

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	The Riemann Problem for a Two-Dimensional Hyperbolic System of Nonlinear Conservation Laws: Multiplication of Distribution Solutions
	Hu, Jiaxin
刊名	ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
	1998
卷号	17 期号:3 页码:743-757
关键词	Two-dimensional conservation laws Riemann problems non-classical waves multiplication of distributions
英文摘要	In the papers [6 - 8], the author has constructed the Riemann solutions to a two-dimensional hyperbolic system of nonlinear conservation laws for any piecewise constant initial data having two discontinuity rays with origin as vertex. It has been found that, for some initial data, the Riemann solutions no longer lie in L-loc(infinity) (R-2 x R+), and the non-classical waves (labelled as Dirac-contact waves) have arisen. But it remains open in [6 - 8] to verify that the non-classical solutions constructed satisfy the system considered. In the present paper, we borrow the new mathematical theory of generalized functions, chiefly initiated by J. F. Colombeau and Rosinger, to deal with the diffculty of the multiplication of distribution solutions. The non- classical Riemann solutions we constructed in [6 - 8] satisfy the system in the sense of association. The present paper provides a good example of applications for this new mathematical theory in powerfully handling the product of generalized functions.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
收录类别	SCI
语种	英语
WOS记录号	WOS:000208764200012
公开日期	2015-12-01
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/8331]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	Acad Sinica, Wuhan Inst Phys Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Hu, Jiaxin. The Riemann Problem for a Two-Dimensional Hyperbolic System of Nonlinear Conservation Laws: Multiplication of Distribution Solutions[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN,1998,17(3):743-757.
APA	Hu, Jiaxin.(1998).The Riemann Problem for a Two-Dimensional Hyperbolic System of Nonlinear Conservation Laws: Multiplication of Distribution Solutions.ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN,17(3),743-757.
MLA	Hu, Jiaxin."The Riemann Problem for a Two-Dimensional Hyperbolic System of Nonlinear Conservation Laws: Multiplication of Distribution Solutions".ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 17.3(1998):743-757.