The effects of generalized dispersion on dissipative dynamical systems
type: Item
instance of: scholarly article
title: The effects of generalized dispersion on dissipative dynamical systems
zbMATH Open document ID: 0989.37072
DOI: 10.1016/S0893-9659(98)00109-8
author: D. T. Papageorgiou
author: Y.-S. Smyrlis
published in: Applied Mathematics Letters
publication date: 2002-08-05T00:00:00Z
review text: The authors are interested in an evolution equation arising in the nonlinear stability of the interface separating two immiscible fluids flowing in circular pipe, the so-called core-annular flow, which can be written as \[ u_t+ uu_x+u_{xx}+ \nu u_{xxxx}+ \tfrac{\beta}{\nu} Lu=0, \qquad u\bigl|_{t=0}= u_0(x), \quad u(x+2\pi,t)= u(x,t), \tag{1} \] where \(L\) is the linear dispersion operator. The authors ask and answer to the following question: what is the effect of using a local approximation of \(L\) in (1) as opposed to computing with the full dispersion. They provide the paper by numerical examples.
Mathematics Subject Classification ID: 37K45
Mathematics Subject Classification ID: 37L50
zbMATH DE Number: 1369484
zbMATH Keywords: nonlinear stability
zbMATH Keywords: immiscible fluids
zbMATH Keywords: dispersion operator
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: s0893-9659(98)00109-8
OpenAlex ID: W1973960339
description: scientific article; zbMATH DE number 1369484