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SUMMARY:Small-amplitude steady water waves  on flows with counter-currents
 . - Vladimir Kozlov (Linköpings Universitet)
DTSTART:20170809T123000Z
DTEND:20170809T133000Z
UID:TALK75141@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:  The two-dimensional free-boundary problem describing steady&
 nbsp\; gravity waves with vorticity is considered for water of finite dept
 h.  It is known that the whole set of small-amplitude waves on unidirectio
 nal rotational flows is exhausted by Stokes and solitary waves. In the cas
 e of flows with counter-currents\, there occur other patterns of behaviour
 . Two results of this kind will be discussed. The first one concerns the e
 xistence of N-modal steady waves\, whereas the second result deals with th
 e following fact.&nbsp\;&nbsp\;&nbsp\; If the number of roots of the dispe
 rsion equation is greater than one\, then the major part of the plethora o
 f small-amplitude waves is represented by non-symmetric ones.  This is a j
 oint work with E. Lokharu\, Lund University.
LOCATION:Seminar Room 1\, Newton Institute
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