Propagation of socillations in the Solutions of 1-D Compressible Fluid Equations

DOI10.1080/03605309208820846zbMath0760.35007OpenAlexW1969555210MaRDI QIDQ4008502

E. Weinan

Publication date: 27 September 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820846

zbMATH Keywords

error estimatescompressible Navier-Stokes equationsconvergence theoremhomogenized equationsweak limitsmultiple scale analysisaveraged system coupled with dynamic cell-probleminviscid gas dynamic equations

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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Cites Work

• Discontinuous solutions of the Navier-Stokes equations for compressible flow
• Convergence of approximate solutions to conservation laws
• Propagation des oscillations dans deux classes de systemes hyperboliques (2∗2et3∗3)