Existence and isoperimetric characterization of steady spherical vortex rings in a uniform flow in RN
2004 ◽
Vol 134
(3)
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pp. 449-476
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Keyword(s):
We study a boundary-value problem for a particular semilinear elliptic equation on Rn (n ≥ 2), whose solutions represent generalized stream functions for steady axisymmetric ideal fluid flows. Solutions are shown to exist that generalize those already known in dimensions 2 and 3. An isoperimetric characterization is given for our solutions, which represent generalized spherical vortex-rings. As a corollary, a sharp Sobolev-type inequality is obtained.
2007 ◽
Vol 2
◽
pp. 423-429
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2007 ◽
Vol 38
(3)
◽
pp. 437-454
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Keyword(s):
2017 ◽
Vol 29
(3)
◽
pp. 515-542
◽
2020 ◽
Vol 268
(10)
◽
pp. 5996-6032
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Keyword(s):
Keyword(s):
Keyword(s):
1998 ◽
Vol 145
(2)
◽
pp. 161-195
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Keyword(s):