On bounds and non-existence in the problem of steady waves with vorticity
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AbstractFor the problem describing steady gravity waves with vorticity on a two-dimensional unidirectional flow of finite depth the following results are obtained. (i) Bounds are found for the free-surface profile and for Bernoulli’s constant. (ii) If only one parallel shear flow exists for a given value of Bernoulli’s constant, then there are no wave solutions provided the vorticity distribution is subject to a certain condition.
1970 ◽
Vol 41
(3)
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pp. 509-521
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2017 ◽
Vol 376
(2111)
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pp. 20170220
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2015 ◽
Vol 12
(5)
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pp. 863-867
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1995 ◽
Vol 121
(7)
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pp. 533-539
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