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An Indefinite Convection-Diffusion Operator

Published online by Cambridge University Press:  01 February 2010

E.B. Davies
E.B. Davies*
Affiliation:
Department of Mathematics, King's College, Strand, London WC2R 2LS, United Kingdom, E.Brian.Davies@kcl.ac.uk, http://www.mth.kcl.ac.uk/staff/eb_davies.html

Abstract

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We give a mathematically rigorous analysis which confirms the surprising results in a recent paper of Benilov, O‘Brien and Sazonov [J. Fluid Mech. 497 (2003) 201-224] about the spectrum of a highly singular non-self-adjoint operator that arises in a problem in fluid mechanics. We also show that the set of eigenvectors does not form a basis for the operator.

Information

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 10 , 2007, pp. 288 - 306
Copyright
Copyright © London Mathematical Society 2007

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