Continuous Dependence on Initial Data for Discontinuous Solutions of the Navier–Stokes Equations for One-Dimensional, Compressible Flow

DOI10.1137/0527066zbMath0860.35094OpenAlexW2033221236MaRDI QIDQ4896996

David Hoff

Publication date: 27 October 1996

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0527066

zbMATH Keywords

interpolationNavier-Stokes equationserror boundsapproximate solutiondiscontinuous solutionsfractional Sobolev normscompressible fluid flow

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) PDEs with low regular coefficients and/or low regular data (35R05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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