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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 9, Pages 1659–1675 (Mi zvmmf4758)  
This article is cited in 1 scientific paper (total in 1 paper)

Mixed problem for the equation governing inertia-gravity waves in the Boussinesq approximation in a unbounded cylindrical domain

B. A.-G. Iskenderov, D. Yu. Mamedov, S. E. Suleimanov

Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, ul. F. Agaeva 9, Baku, AZ-1141, Azerbaijan
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Abstract: 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.
Key words: equations of inertia-gravity waves, Boussinesq approximation, unique solvability, asymptotic behavior of solutions, Green's function method.
Received: 10.04.2008
Revised: 23.03.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 9, Pages 1583–1600
DOI: https://doi.org/10.1134/S0965542509090139
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: 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”, Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009), 1659–1675; Comput. Math. Math. Phys., 49:9 (2009), 1583–1600
Citation in format AMSBIB
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\paper Mixed problem for the equation governing inertia-gravity waves in the Boussinesq approximation in a~unbounded cylindrical domain
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\pages 1659--1675
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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