Continuous dependence in \(L^ 2\) for discontinuous solutions of the viscous \(p\)-system

DOI10.1016/S0294-1449(16)30190-1zbMath0836.35157OpenAlexW2495974899MaRDI QIDQ1904204

David Hoff, Roger E. Zarnowski

Publication date: 18 December 1995

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1994__11_2_159_0

zbMATH Keywords

finite difference approximationsrates of convergencecontinuous dependencediscontinuous solutions of the Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

Related Items (5)

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

Cites Work

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• A Finite-Difference Scheme for the Navier–Stokes Equations of One-Dimensional, Isentropic, Compressible Flow
• Error Bounds for Glimm Difference Approximations for Scalar Conservation Laws
• Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data
• Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data

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