Stability of contact discontinuities in three-dimensional compressible steady flows (Q2435323)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of contact discontinuities in three-dimensional compressible steady flows |
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Stability of contact discontinuities in three-dimensional compressible steady flows (English)
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4 February 2014
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The authors study linear stability criteria of both planar and non-planar contact discontinuities in three-dimensional compressible isentropic supersonic steady flows described by the Euler system. Necessary and sufficient conditions of linear weak stability are proven. The Kreiss-Lopatinskii conditions are shown to fail, they hold in the weak form. The energy estimates of solutions to the linearized problem at a planar contact discontinuity are obtained.
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linear weak stability
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Kreiss-Lopatinskii condition
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a priori estimates
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loss of regularity
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