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→+∞.
Key words:
equations of internal gravity waves, mixed problem, theory of existence and uniqueness of solution.
Citation:
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., 46:8 (2006), 1475–1493; Comput. Math. Math. Phys., 46:8 (2006), 1399–1417
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\by B.~A.~Iskenderov, A.~I.~Mamedova
\paper A~mixed problem for the equation of internal gravity waves in an infinite cylindrical domain
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 8
\pages 1475--1493
\mathnet{http://mi.mathnet.ru/zvmmf432}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287364}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 8
\pages 1399--1417
\crossref{https://doi.org/10.1134/S0965542506080112}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748289561}
Linking options:
https://www.mathnet.ru/eng/zvmmf432
https://www.mathnet.ru/eng/zvmmf/v46/i8/p1475
This publication is cited in the following 1 articles:
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”, Comput. Math. Math. Phys., 49:9 (2009), 1583–1600