B. A. Iskenderov, A. I. Mamedova, “A mixed problem for the equation of internal gravity waves in an infinite cylindrical domain”, Zh. Vychisl. Mat. Mat. Fiz., 2006, Volume 46, Number 8,Pages <nobr>1475

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A mixed problem for the equation of internal gravity waves in an infinite cylindrical domain

B. A. Iskenderov, A. I. Mamedova

National Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, ul. F. Agaeva 9, Baku, 370141, Azerbaijan

Abstract: The existence of a unique classical solution to the mixed problem for the equation describing internal gravity waves in a cylindrical domain is proved. The behavior of the solution is studied at $t\to+\infty$.

Key words: equations of internal gravity waves, mixed problem, theory of existence and uniqueness of solution.

UDC: 519.634

Received: 29.12.2005