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References (5)
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David Wagner (1983)
The Riemann Problem in Two Space Dimensions for a Single Conservation LawSiam Journal on Mathematical Analysis, 14
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Tong Zhang, Yuxi Zheng (1989)
Two-dimensional Riemann problem for a single conservation lawTransactions of the American Mathematical Society, 312
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Peng Zhang, Tong Zhang (1999)
Generalized Characteristic Analysis and Guckenheimer StructureJournal of Differential Equations, 152
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Gui-Qiang Chen, Dening Li, D. Tan (1996)
Structure of Riemann Solutions for 2-Dimensional Scalar Conservation LawsJournal of Differential Equations, 127
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Xiaozhou Yang (1999)
MULTI-DIMENSIONAL RIEMANN PROBLEM OF SCALAR CONSERVATION LAWActa Mathematica Scientia, 19
- Publisher
- Springer Journals
- Copyright
- Copyright © 2005 by Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-005-0259-2
- Publisher site
- See Article on Publisher Site
Abstract
We investigate the singular structure for n dimensional non-selfsimilar global solutions and interaction of non-selfsimilar elementary wave of n dimensional Burgers equation, where the initial discontinuity is a n dimensional smooth surface and initial data just contain two different constant states, global solutions and some new phenomena are discovered. An elegant technique is proposed to construct n dimensional shock wave without dimensional reduction or coordinate transformation.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jan 1, 2005