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 estimatesHow to Cite
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.