Strongly stratified limit for the 3D inviscid Boussinesq equations
type: Item
instance of: scholarly article
title: Strongly stratified limit for the 3D inviscid Boussinesq equations
zbMATH Open document ID: 1447.35278
author: Ryo Takada
published in: Archive for Rational Mechanics and Analysis
publication date: 2019-03-29T00:00:00Z
review text: The Cauchy problem for the three dimensional inviscid Boussinesq system is studied for the initial data close to stratified solution with large temperature gradient. The long time existence of classical solutions for large initial data and the buoyancy frequency large enough is constructed. Moreover, in the singular limit of the strong stratification, solutions of the two dimensional incompressible Euler equations are obtained.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B70
Mathematics Subject Classification ID: 76M45
zbMATH DE Number: 7045538
zbMATH Keywords: inviscid Boussinesq equation
zbMATH Keywords: incompressible Euler system
zbMATH Keywords: stratified solution
zbMATH Keywords: asymptotics
MaRDI profile type: Publication
full work available at URL: s00205-018-01347-4
OpenAlex ID: W2904707917
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Wikidata QID: Q128723509
DOI: 10.1007/S00205-018-01347-4
description: scientific article; zbMATH DE number 7045538