Abstract:
The long-wave equations describing three-dimensional shear wave motion of a free-surface ideal fluid are rearranged to a special form and used to describe discontinuous solutions. Relations at the discontinuity front are derived, and stability conditions for the discontinuity are formulated. The problem of determining the flow parameters behind the discontinuity front from known parameters before the front and specified velocity of motion of the front are investigated.
Citation:
V. M. Teshukov, A. K. Khe, “Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008), 206–213; J. Appl. Mech. Tech. Phys., 49:4 (2008), 693–698
\Bibitem{TesKhe08}
\by V.~M.~Teshukov, A.~K.~Khe
\paper Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 4
\pages 206--213
\mathnet{http://mi.mathnet.ru/pmtf1940}
\elib{https://elibrary.ru/item.asp?id=11784363}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 4
\pages 693--698
\crossref{https://doi.org/10.1007/s10808-008-0086-3}
Linking options:
https://www.mathnet.ru/eng/pmtf1940
https://www.mathnet.ru/eng/pmtf/v49/i4/p206
This publication is cited in the following 1 articles:
A. K. Khe, “Strong discontinuities in spatial stationary long-wave flows of an ideal incompressible fluid”, J. Appl. Mech. Tech. Phys., 50:2 (2009), 199–206
Citation in format AMSBIB
Contact us: