Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids

DOI10.1137/S0036141001399350zbMath1038.35035OpenAlexW2023694905WikidataQ57386520 ScholiaQ57386520MaRDI QIDQ4429847

Hai-liang Liu, Gui-Qiang G. Chen

Publication date: 30 September 2003

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

Full work available at URL: https://doi.org/10.1137/s0036141001399350

zbMATH Keywords

Lax-Friedrichs numerical scheme

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Compressibility effects in hydrodynamic stability (76E19)

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