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
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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.
@article{ZVMMF_2009_49_9_a12,
author = {B. A.-G. Iskenderov and D. Yu. Mamedov and S. E. Suleimanov},
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},
pages = {1659--1675},
publisher = {mathdoc},
volume = {49},
number = {9},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a12/}
}
TY - JOUR AU - B. A.-G. Iskenderov AU - D. Yu. Mamedov AU - S. E. Suleimanov TI - Mixed problem for the equation governing inertia-gravity waves in the Boussinesq approximation in a unbounded cylindrical domain JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 1659 EP - 1675 VL - 49 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a12/ LA - ru ID - ZVMMF_2009_49_9_a12 ER -
%0 Journal Article %A B. A.-G. Iskenderov %A D. Yu. Mamedov %A S. E. Suleimanov %T Mixed problem for the equation governing inertia-gravity waves in the Boussinesq approximation in a unbounded cylindrical domain %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 1659-1675 %V 49 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a12/ %G ru %F ZVMMF_2009_49_9_a12
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/