Geodesic
Mixed problem for the equation governing inertia-gravity waves in the Boussinesq approximation in a unbounded cylindrical domain
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1659-1675 Cet article a éte moissonné depuis la source Math-Net.Ru

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The unique solvability of an initial-boundary value problem for the equation governing inertia-gravity waves in the Boussinesq approximation in an unbounded multidimensional cylindrical domain is studied. The existence and uniqueness of a weak solution is proved, and its asymptotic behavior at long times is analyzed. The proofs are based on the Green's function constructed in explicit form for the corresponding stationary problem. 
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     title = {Mixed problem for the equation governing inertia-gravity waves in the {Boussinesq} approximation in a~unbounded cylindrical domain},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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B. A.-G. Iskenderov; D. Yu. Mamedov; S. E. Suleimanov. Mixed problem for the equation governing inertia-gravity waves in the Boussinesq approximation in a unbounded cylindrical domain. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1659-1675. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a12/

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