Stability of contact discontinuity for steady Euler system in infinite duct

Cited 12 time in webofscience Cited 0 time in scopus
  • Hit : 38
  • Download : 0
In this paper, we prove stability of contact discontinuities for full Euler system. We fix a flat duct of infinite length in with width W (0) and consider two uniform subsonic flow with different horizontal velocity in divided by a flat contact discontinuity . And, we slightly perturb the boundary of so that the width of the perturbed duct converges to for at for some . Then, we prove that if the asymptotic state at left far field is given by , and if the perturbation of boundary of and is sufficiently small, then there exists unique asymptotic state with a flat contact discontinuity at right far field() and unique weak solution of the Euler system so that U consists of two subsonic flow with a contact discontinuity in between, and that U converges to and at and respectively. For that purpose, we establish piecewise C (1) estimate across a contact discontinuity of a weak solution to Euler system depending on the perturbation of and .
Publisher
SPRINGER BASEL AG
Issue Date
2013-08
Language
English
Article Type
Article
Citation

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v.64, no.4, pp.917 - 936

ISSN
0044-2275
DOI
10.1007/s00033-012-0271-3
URI
http://hdl.handle.net/10203/280619
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 12 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0