Continuous Dependence on Initial Data for Discontinuous Solutions of the Navier–Stokes Equations for One-Dimensional, Compressible Flow
From MaRDI portal
Publication:4896996
DOI10.1137/0527066zbMath0860.35094OpenAlexW2033221236MaRDI QIDQ4896996
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
interpolationNavier-Stokes equationserror boundsapproximate solutiondiscontinuous solutionsfractional Sobolev normscompressible fluid flow
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)
Related Items
Global solutions of the compressible navier-stokes equations with larger discontinuous initial data ⋮ Exponential stability and universal attractors for the Navier-Stokes equations of compressible fluids between two horizontal parallel plates in \({\mathbb R}^3\) ⋮ Global attractor for a nonlinear viscoelastic model ⋮ Universal attractor in \(H^4\) for the nonlinear one-dimensional compressible Navier-Stokes equations ⋮ Exponential stability for the compressible Navier-Stokes equations with the cylinder symmetry in \(\mathbb R^3\) ⋮ Zero dissipation limit to rarefaction waves for the \(p\)-system
