Structural Stability of Shock Solutions of Hyperbolic Systems in Nonconservation Form via Kinetic Relations

B. Audebert () and F. Coquel ()
Additional contact information
B. Audebert: Office National d'Etudes et Recherches Aérospatiales
F. Coquel: Université Pierre et Marie Curie, CNRS et Laboratoire Jacques Louis Lions

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 397-405 from Springer

Abstract: We introduce stability conditions for shock solutions of hyperbolic systems in nonconservation form. The recently proposed framework of kinetic relations for defining shock solutions is shown to yield a natural extension of the structural stability conditions due to Majda in the conservative setting: besides the mandatory geometric Lax conditions, a direct extension of the Majda determinant must not vanish. We study these conditions for validity within the frame of PDE systems for modelling shock-turbulence interactions. We prove that a mostly neglected nonconservative correction to the PDEs plays a major role in the stability.

Keywords: Mach Number; Hyperbolic System; Travel Wave Solution; Riemann Problem; Kinetic Relation (search for similar items in EconPapers)
Date: 2008
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_36

Ordering information: This item can be ordered from
http://www.springer.com/9783540757122

DOI: 10.1007/978-3-540-75712-2_36

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().