On a singular limit for stratified compressible fluids

DOI10.1016/j.nonrwa.2018.05.004zbMath1406.35243arXiv1802.10340OpenAlexW2962691178WikidataQ129738254 ScholiaQ129738254MaRDI QIDQ1994860

Eduard Feireisl, Gabriele Bruell

Publication date: 2 November 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.10340

zbMATH Keywords

shallow water equationmeasure-valued solutionanelastic limitcomplete Euler system

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Meteorology and atmospheric physics (86A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)

Related Items (5)

Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits ⋮ Strongly stratified limit for the 3D inviscid Boussinesq equations ⋮ Low stratification of the complete Euler system ⋮ Low Mach and thin domain limit for the compressible Euler system ⋮ Multiple scales and singular limits of perfect fluids

Cites Work

• Classical solutions for a generalized Euler equation in two dimensions
• On singular limits arising in the scale analysis of stratified fluid flows
• Scale-Dependent Models for Atmospheric Flows
• Measure-valued Solutions of the Euler Equations for Ideal Compressible Polytropic Fluids
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