Moderately Fast Three-Scale Singular Limits

DOI10.1137/19M1287109zbMath1444.35018OpenAlexW3045950898MaRDI QIDQ3300872

Xin Xu, Steven Schochet

Publication date: 30 July 2020

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

Full work available at URL: https://doi.org/10.1137/19m1287109

zbMATH Keywords

resonancefiltering schemesingular limittwo small parameters

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

The soundproof model of an acoustic-internal waves system with low stratification ⋮ Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations ⋮ Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit ⋮ Toward uniform existence and convergence theorems for three-scale systems of hyperbolic PDEs with general initial data

Cites Work

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• Fast singular limits of hyperbolic PDEs
• Oscillatory perturbations of the Navier-Stokes equations
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Compressible and incompressible fluids
• The mathematical theory of low Mach number flows

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