Geodesic
On unique solvability of the system of gravitational-gyroscopic waves in the Boussinesq approximation
Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 2, pp. 16-23

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Initial boundary value problem is studied for the system of gravitational-gyroscopic waves in the Boussinesq approximation, i. e. for the integro-differential system of equations with partial derivatives. The existence of a unique solution is proved for the problem by the methods of the theory of degenerate evolution equations in Banach spaces.
Keywords: system of gravitational-gyroscopic waves, system of internal waves, Boussinesq approximation, initial boundary value problem, degenerate evolution equation, equation with memory. 
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     author = {L. V. Borel' and V. E. Fedorov},
     title = {On unique solvability of the system of gravitational-gyroscopic waves in the {Boussinesq} approximation},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {16--23},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_2_a1/}
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L. V. Borel'; V. E. Fedorov. On unique solvability of the system of gravitational-gyroscopic waves in the Boussinesq approximation. Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 2, pp. 16-23. http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_2_a1/