Solving the linear Rossby equation in a finite domain

A. A. Svidlov

Kuban State University, Krasnodar, Russia

Abstract: 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, Sobolev-type equations, planetary wave equation.

UDC: 519.63

Received: 08.04.2013