Singular Limits and Convergence Rates of Compressible Euler and Rotating Shallow Water Equations

DOI10.1137/11085147XzbMath1248.35152MaRDI QIDQ2904737

Bin Cheng

Publication date: 23 August 2012

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

zbMATH Keywords

convergence ratesinitial-boundary value problemsingular limitscompressible Euler equationsill-prepared initial datarotating shallow water equationstime averages

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Initial-boundary value problems for first-order hyperbolic systems (35L50) Euler equations (35Q31)

Related Items (6)

Near-resonance approximation of rotating Navier–Stokes equations ⋮ Asymptotics for singular limits via phase functions ⋮ Rate of convergence from the rotating Euler and shallow water equations to the rotating lake equations ⋮ Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics ⋮ Inviscid, zero Froude number limit of the viscous shallow water system ⋮ Convergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domains

This page was built for publication: Singular Limits and Convergence Rates of Compressible Euler and Rotating Shallow Water Equations