Asymptotics Toward Rarefaction Waves and Vacuum for 1-d Compressible Navier–Stokes Equations

DOI10.1137/08072855XzbMath1211.35189OpenAlexW2059546648MaRDI QIDQ5392378

Mikhail Perepelitsa

Publication date: 8 April 2011

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

Full work available at URL: https://doi.org/10.1137/08072855x

zbMATH Keywords

time asymptoticsRiemann initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Euler equations (35Q31)

Related Items (5)

Vanishing viscosity and Debye-length limit to rarefaction wave with vacuum for the 1D bipolar Navier-Stokes-Poisson equation ⋮ Zero-viscosity–capillarity limit toward rarefaction wave with vacuum for the Navier–Stokes–Korteweg equations of compressible fluids ⋮ Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system ⋮ The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients ⋮ Zero‐viscosity‐capillarity limit to rarefaction waves for the 1D compressible Navier–Stokes–Korteweg equations

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