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Loss of hyperbolicity changes the number of wave groups in Riemann problems.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Jun2016, Vol. 47 Issue 2, p545-559. 15p. - Publication Year :
- 2016
-
Abstract
- Themain goal of ourwork is to showthat there exists a class of 2×2 Riemann problems for which the solution comprises a singlewave group for an open set of initial conditions. This wave group comprises a 1-rarefaction joined to a 2-rarefaction, not by an intermediate state, but by a doubly characteristic shock, 1-left and 2-right characteristic. In order to ensure that perturbations of initial conditions do not destroy the adjacency of the waves, local transversality between a composite curve foliation and a rarefaction curve foliation is necessary. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 47
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 116284889
- Full Text :
- https://doi.org/10.1007/s00574-016-0168-4