COMPARISON PRINCIPLES FOR SELF-SIMILAR POTENTIAL FLOW

Journal article

Abstract:: We establish a strong comparison principle, as well as a weak comparison principle and a Hopf-type lemma, for elliptic solutions of the selfsimilar potential flow equation. A major difference from the steady case is that the coefficients of the equation depend on the potential function itself, as well as its gradient. We employ the divergence structure and other features of the equation to derive the results. © 2011 American Mathematical Society.

Journal:: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY More from this journal
Volume:: 140
Issue:: 2
Pages:: 651-663
Publication date:: 2012-02-01
DOI:: 10.1090/S0002-9939-2011-10937-7
EISSN:: 1088-6826
ISSN:: 0002-9939

Language:: English
Keywords:: Hopf-type lemma

Comparison principle

divergence structure

self-similar

velocity potential

potential flow

maximum principle
Pubs id:: pubs:216503
UUID:: uuid:78b5525d-ff6a-4d3b-b3e8-97495ad0b273
Local pid:: pubs:216503
Source identifiers:: 216503
Deposit date:: 2012-12-19

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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