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

Mathematical Modelling and Analysis

Juan Carlos Munoz Grajales¹ 

[1] Departamento de Matematicas, Universidad del Valle A.A. 25360 Cali, Colombia;

关键词: internal waves;    Cauchy problem;    numerical solution;    error estimates;   

DOI  :  10.3846/13926292.2014.924039

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown