Stability of contact discontinuity for steady Euler system in infinite duct
SCIE
SCOPUS
- Title
- Stability of contact discontinuity for steady Euler system in infinite duct
- Authors
- Bae, M
- Date Issued
- 2013-08
- Publisher
- Springer
- Abstract
- 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 .
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27449
- DOI
- 10.1007/S00033-012-0271-3
- ISSN
- 0044-2275
- Article Type
- Article
- Citation
- Zeitschrift für angewandte Mathematik und Physik, vol. 64, no. 4, page. 917 - 936, 2013-08
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