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COMPARISON PRINCIPLES FOR SELF-SIMILAR POTENTIAL FLOW

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.
Publication status:
Published

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Journal:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume:
140
Issue:
2
Pages:
651-663
Publication date:
2012-02-05
DOI:
EISSN:
1088-6826
ISSN:
0002-9939
URN:
uuid:78b5525d-ff6a-4d3b-b3e8-97495ad0b273
Source identifiers:
216503
Local pid:
pubs:216503

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