Geodesic
On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary
Matematičeskie trudy, Tome 14 (2011) no. 2, pp. 83-126

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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. 
@article{MT_2011_14_2_a4,
     author = {M. O. Korpusov},
     title = {On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary},
     journal = {Matemati\v{c}eskie trudy},
     pages = {83--126},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2011_14_2_a4/}
}
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M. O. Korpusov. On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary. Matematičeskie trudy, Tome 14 (2011) no. 2, pp. 83-126. http://geodesic.mathdoc.fr/item/MT_2011_14_2_a4/