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math.AP2005★ 3 cited
The ellipticity principle for selfsimilar polytropic potential flow
Volker Elling, Tai-Ping Liu
We consider self-similar potential flow for compressible gas with polytropic pressure law. Self-similar solutions arise as large-time asymptotes of general solutions, and as exact…
math.AP2003
Shock waves
Tai-Ping Liu
Shock wave theory was first studied for gas dynamics, for which shocks appear as compression waves. A shock wave is characterized as a sharp transition, even discontinuity in the f…