Loss of hyperbolicity changes the number of wave groups in Riemann problems

• Type: Article in International Scientific Journal
• Date: 2016-06-01

Authors

Vítor Matos (Author) FEP; Julio D. Silva (Author) Other; Dan Marchesin (Author) Other

Journal

Title: Bulletin of the Brazilian Mathematical Society

Serial No. New Series Vol. 47 No. 2

Pages: 545-559

ISSN: 1678-7544

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 3 Citations

ISI Web of Science

Scopus - 3 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics > Mathematical analysis > Differential equations

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00K-JCY

DOI: 10.1007/s00574-016-0168-4

Abstract (EN): Themain goal of ourwork is to showthat there exists a class of 2x2 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15