This article is cited 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

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.

UDC: 519.634

Received: 10.04.2008
Revised: 23.03.2009

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:9, 1583–1600

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