Vortices and internal waves in a stratified fluid
type: Item
instance of: scholarly article
title: Vortices and internal waves in a stratified fluid
zbMATH Open document ID: 0898.76015
DOI: 10.1016/0021-8928(95)00066-6
author: A. M. Ter-Krikorov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1997-11-04T00:00:00Z
review text: The author considers the motion, in the gravity field, of an inviscid stably stratified fluid filling a half-space, and derives the equations which describe the evolution of potential vortices and internal waves. Approximate solutions to this nonlinear problem are constructed by means of asymptotic series in small parameters. According to the given theory, the potential vortices present in the atmosphere can be exponentially amplified, which leads to the formation of powerful tornado-type vortices. Other mechanisms are also known for the formation of atmosphere vortices related to wind shifts and to the turning an unstable vortex sheet into a vortex ring. Which process plays a fundamental role in the actual occurrence of the vortex in the atmosphere? Further investigations are needed to give an answer to this question.
Mathematics Subject Classification ID: 76B55
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76B60
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 1077423
zbMATH Keywords: gravity field
zbMATH Keywords: inviscid stably stratified fluid
zbMATH Keywords: half-space
zbMATH Keywords: potential vortices
zbMATH Keywords: internal waves
zbMATH Keywords: asymptotic series
zbMATH Keywords: small parameters
zbMATH Keywords: tornado-type vortices
zbMATH Keywords: wind shifts
zbMATH Keywords: vortex sheet
zbMATH Keywords: vortex ring
MaRDI profile type: Publication
full work available at URL: 0021-8928(95)00066-6
OpenAlex ID: W2018294820
cites work: Internal wave—vortical mode interactions in strongly stratified flows
cites work: Q4692276
cites work: Internal wave generation in uniformly stratified fluids. Part 1. Green's function and point sources
description: scientific article; zbMATH DE number 1077423