Asymptotic solutions of a system of gas dynamics with low viscosity that describe smoothed discontinuities

DOI10.1134/S1061920820040019zbMath1462.76152OpenAlexW3114188258MaRDI QIDQ829047

Anna I. Allilueva, Andrej I. Shafarevich

Publication date: 5 May 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920820040019

zbMATH Keywords

tangential discontinuitysmoothed shock wavetransitional layer

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Gas dynamics (general theory) (76N15)

Cites Work

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• Asymptotic solutions of a magnetohydrodynamic system which describe smoothed discontinuities
• Propagation of a shock wave in an isentropic gas with small viscosity
• Stability of Strong Discontinuities in Fluids and MHD
• Global existence of weak discontinuous solutions to the Cauchy problem with small BV initial data for quasilinear hyperbolic systems
• The Navier-Stokes equations: Asymptotic solutions describing tangential discontinuities

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