COMPARISON PRINCIPLES FOR SELF-SIMILAR POTENTIAL FLOW
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 we...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2012
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| Summary: | 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. |
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