Wavefronts and shocks in the vicinity of sonic lines

DOI10.1002/ZAMM.201700064OpenAlexW2790041558MaRDI QIDQ6064430

Manuel A. Nunez

Publication date: 12 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201700064

zbMATH Keywords

shock formationgeometric opticssonic pointswavefront evolution

Mathematics Subject Classification ID

Hyperbolic equations and hyperbolic systems (35Lxx) Incompressible inviscid fluids (76Bxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

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• Geometry of fast magnetosonic rays, wavefronts and shock waves
• Weakly nonlinear high frequency waves
• Quasilinear Hyperbolic Systems, Compressible Flows, and Waves
• Non‐existence of transonic flow past a profile
• Nonlinear wave propagation on an arbitrary steady transonic flow
• Equilibrium of arbitrary steady flows at the transonic points

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