Comparison Principles for Self - Similar Potential Flow by Gui - Qiang
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چکیده
We establish a strong comparison principle, as well as a weak comparison principle and a Hopf-type lemma, for elliptic solutions of the self-similar potential flow equation. A major difference from the steady case is that the coefficients of the equation depend on the potential function itself, besides its gradient. We employ the divergence structure and other features of the equation to derive the results.
منابع مشابه
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 self-similar potential flow equation. A major difference from the steady case is that the coefficients of the equation depend on the potential function itself, besides its gradient. We employ the divergence structure and other features of the equation to derive...
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تاریخ انتشار 2011