Geodesic
Solving the linear Rossby equation in a finite domain
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 3, pp. 142-149

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We state a generalized formulation for the first and the second initial-boundary value problems for the Rossby equation and prove the unique solvability of these problems. For the first initial-boundary value problem, the approximate solution is constructed. The convergence rate to the generalized solution is studied. The results of the numerical experiments are discussed.
Keywords: Rossby equation, planetary wave equation.
Mots-clés : Sobolev-type equations 
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     author = {A. A. Svidlov},
     title = {Solving the linear {Rossby} equation in a~finite domain},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {142--149},
     publisher = {mathdoc},
     volume = {155},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2013_155_3_a13/}
}
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A. A. Svidlov. Solving the linear Rossby equation in a finite domain. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 3, pp. 142-149. http://geodesic.mathdoc.fr/item/UZKU_2013_155_3_a13/