Some properties of generalized age-distribution equations in fluid dynamics
type: Item
instance of: scholarly article
zbMATH Open document ID: 0997.76082
DOI: 10.1137/S0036139999363810
author: Jean-Marie Beckers
author: Eric J. M. Delhez
author: Eric Deleersnijder
published in: SIAM Journal on Applied Mathematics
publication date: 2001-03-19T00:00:00Z
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1578739
zbMATH Keywords: generalized age-distribution equations
zbMATH Keywords: asymptotic solution
zbMATH Keywords: symmetry breaking
zbMATH Keywords: uniform velocity field
zbMATH Keywords: advection-diffusion equation
zbMATH Keywords: stationary concentration distribution function
Wikidata QID: Q58493437
MaRDI profile type: Publication
full work available at URL: s0036139999363810
OpenAlex ID: W2030640414
title: Some properties of generalized age-distribution equations in fluid dynamics
review text: From authors' summary: The concept of age in fluid dynamics is analyzed in the case of tracer advection-diffusion equation. From the general solution for a uniform velocity field, it is shown that unexpected symmetry properties arise for the age field. In particular, for a point release, the age field is isotropic, regardless of the direction of the flow and the value of diffusion coefficient. The analysis is then extended to situations with time-varying flows, where the symmetry can be broken under some circumstances. Finally, we present a method by which a time-dependent problem can be used to assess the stationary concentration distribution function, providing details about the propagation of younger and older materials at a given location.
reviewed by: Ning Su
description: scientific article