Vortex Motion of Fluid in Rotating Channels of Variable Depth

The article considers the wave motion of a perfect fluid in rotating channels of simple geometric shapes. The Euler equations describing the dynamics of the perfect fluid are linearized within the "shallow water" theory. The paper examines the spread of long waves along the perfect fluid surface in an open rotating channel of limited width and finite depth. The task is reduced to a partial differential equation for elevation of perfect fluid free surface. The article suggests the solution as a set of waves running both along and across the channel. The paper shows that there are Kelvin, Poincare waves and low-frequency Rossby waves in rotating channels of variable depth with the presence of at least one boundary

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