Existence and Numerical Approximation of Solutions of an Improved Internal Wave Model

Abstract

In this paper we establish local existence of solutions for a new model to describe the propagation of an internal wave propagating at the interface of two immiscible fluids with constant densities, contained at rest in a long channel with a horizontal rigid top and bottom. We also introduce a spectral-type numerical scheme to approximate the solutions of the corresponding Cauchy problem and perform a complete error analysis of the semidiscrete scheme.

Keywords:

internal waves, Cauchy problem, numerical solution, error estimates

How to Cite

Grajales, J. C. M. (2014). Existence and Numerical Approximation of Solutions of an Improved Internal Wave Model. Mathematical Modelling and Analysis, 19(3), 309-333. https://doi.org/10.3846/13926292.2014.924039

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June 1, 2014
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2014-06-01

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How to Cite

Grajales, J. C. M. (2014). Existence and Numerical Approximation of Solutions of an Improved Internal Wave Model. Mathematical Modelling and Analysis, 19(3), 309-333. https://doi.org/10.3846/13926292.2014.924039

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