To the question on stability of shock waves (Q2713925)
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scientific article; zbMATH DE number 1603188
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | To the question on stability of shock waves |
scientific article; zbMATH DE number 1603188 |
Statements
10 June 2001
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shock wave
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surface of strong discontinuity
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Navier-Stokes equation
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piecewise solution
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linearized problem
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Lyapunov's instability
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To the question on stability of shock waves (English)
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The authors continue the study of stability of shock waves [see \textit{A. M. Blokhin} and \textit{A. A. Shirnen}, Sib. Zh. Ind. Mat. 3, No. 1(5), 33-46 (2000; Zbl 0962.76042)]. The question regarding shock waves in the context of the surface of strong discontinuity is still open. Considering a linearized problem with respect to a piecewise solution for the equations of moving nonstationary viscous gas (Navier--Stokes equation) and strong discontinuity, the authors prove Lyapunov's instability for the shock solver (which resolves jumps discontinuities in terms of the surface of strong discontinuity) using a numerical approach.
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