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

Abstract: 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.

Key words: blowup, nonlinear analysis, internal waves, nonlinear hydrodynamics, nonlinear boundary conditions.

UDC: 517.957

Received: 18.02.2011

 English version: Siberian Advances in Mathematics, 2012, 22:3, 161–191

Bibliographic databases:

•