- Abstract:
-
We are concerned with geometric properties of transonic shocks as free boundaries in two-dimensional self-similar coordinates for compressible fluid flows, which are not only important for the understanding of geometric structure and stability of fluid motions in continuum mechanics, but are also fundamental in the mathematical theory of multidimensional conservation laws. A transonic shock for the Euler equations for self-similar potential flow separates elliptic (subsonic) and hyperbolic (s...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Publisher copy:
- 10.1007/s00205-020-01528-0
-
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- Publisher:
- Springer Publisher's website
- Journal:
- Archive for Rational Mechanics and Analysis Journal website
- Volume:
- 238
- Issue:
- 1
- Pages:
- 47–124
- Publication date:
- 2020-06-12
- Acceptance date:
- 2020-04-08
- DOI:
- EISSN:
-
1432-0673
- ISSN:
-
0003-9527
- Pubs id:
-
1109780
- Local pid:
- pubs:1109780
- Language:
- English
- Keywords:
- Copyright holder:
- Springer-Verlag GmbH Germany
- Copyright date:
- 2020
- Rights statement:
- © Springer-Verlag GmbH Germany, part of Springer Nature (2020)
Journal article
Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow
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