On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary
M. O. Korpusov
M. V. Lomonosov Moscow State University, Faculty of Physics, Moscow, Russia
In the article, we consider the equation of internal gravity-gyroscopic waves in an exponentially stratified fluid whose model is the great oceans. We study the case in which a fluid occupies a bounded domain and a boundary condition of the third kind is imposed on the boundary, All sinks and sources localized on the boundary are taken into account. The local solvability of the problem in a weak generalized sense is established and sufficient conditions of finite time blowup of solutions are exposed.
blowup, nonlinear analysis, internal waves, nonlinear hydrodynamics, nonlinear boundary conditions.
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Siberian Advances in Mathematics, 2012, 22:3, 161–191
M. O. Korpusov, “On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary”, Mat. Tr., 14:2 (2011), 83–126; Siberian Adv. Math., 22:3 (2012), 161–191
Citation in format AMSBIB
\paper On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary
\jour Mat. Tr.
\jour Siberian Adv. Math.
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