BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Long non-linear flexural-gravitational waves in the sea\, covered 
 with Ice - Vitaliy Yakovlev (Academy of Sciences\, Ukraine)
DTSTART:20220927T090000Z
DTEND:20220927T093000Z
UID:TALK178376@talks.cam.ac.uk
DESCRIPTION:Longwave nonlinear dispersion model\, that describes flexural-
 gravitational waves propagating in icy cover on the surface of the sea\, i
 s developed by expanding the original three-dimensional problem of hydroel
 astic oscillations of the system "elastic plate - a layer of an ideal inco
 mpressible fluid of variable depth " in a small parameter. The model takes
  into account effects of non-linear fluid dispersion as well inertia\, ela
 sticity and geometrically nonlinear plate deflection. Proceeding from rece
 ived equations\, there were built an hierarchical sequence of more simple 
 models\, generalizing equations of Peregrine \, Boussinesque and Korteweg-
  de Vries\, known from surface waves theories\, for the case of flexural-g
 ravitational waves . For the special case of generalized Korteweg-de-Vries
  equation analitic solutions\, describing propagation of solitons and cnoi
 dal waves in the sea\, covered with continuous or broken ice\, were built 
 and analyzed. It is shown that flexural-gravitational waves possess some m
 irrored properties as compared to long non-linear water waves. As to solit
 on this means that without changing the form a depression propagates\, not
  a hump\, as in the clean water case\, and speed of it&rsquo\;s propagatio
 n decreases with increasing the amplitude rather than increases . In addit
 ion\, the characteristics of the flexural-gravitational waves are determin
 ed by the wave amplitude and dispersion of plate flexural rigidity\, and d
 o not depend on the water dispersion and inertial properties of the icy co
 ver. There are determined areas of task parameters changing\, where variou
 s types of soliton-like decisions for given equation may exist. In a simil
 ar setting\, the generalized Kadomtsev - Petviashvili type equation\, mode
 ling the propagation of long non-linear two-dimensional flexural-gravitati
 onal waves in the sea covered with continuous ice\, has been derived. Assu
 ming periodicity for transverse coordinate\, the analitic solution for the
  equation received has been built in the form of a wave packet. Relations 
 among character parameters of the task \, which provide the existence of s
 uch a solution\, were defined.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR