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Normal Modes for a Stratified Viscous fluid Layer

Published

Author(s)

Katharine F. Gurski, R L. Pego

Abstract

We consider internal gravity waves in a stratified fluid layer with rigid horizontal boundaries and periodic boundary conditions on the sides at constant temperature with a small constant viscosity, modeled using the incompressible Navier-Stokes equations. Using operator-theoretic methods to study the damping rates of internal waves, we prove there are non-oscillatory wave modes with arbitrarily small damping rates. We provide an asymptotic approximation for these non-oscillatory modes. Additionally we find that the eigenvalues for damped oscillations are in an explicitly describable half ring.
Citation
Royal Society of Edinburgh

Keywords

incompressible, internal waves, normal modes, stratified viscous

Citation

Gurski, K. and Pego, R. (2001), Normal Modes for a Stratified Viscous fluid Layer, Royal Society of Edinburgh (Accessed April 14, 2024)
Created February 2, 2001, Updated June 2, 2021