Effect of initial conditions on a one-dimensional model of small-amplitude wave propagation in shallow water. II: Blowup for nonsmooth conditions

• Published in: International journal of numerical methods for heat & fluid flow Vol. 34; no. 3; pp. 1189 - 1226
• Main Authors: Ramos, J.I., García López, Carmen María
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Publishing Limited 27.02.2024; Emerald Group Publishing Limited
• Subjects: Acoustics; Amplitude; Amplitudes; Attenuation; Coefficients; Conduction heating; Drift; Finite difference method; Heat transfer; Initial conditions; Mathematical models; Nerves; Nonlinear waves; Nonlinearity; Numerical analysis; One dimensional models; Propagation; Relaxation time; Shallow water; Smoothness; Viscoelasticity; Viscosity; Viscosity coefficient; Viscosity coefficients; Wave propagation; Width; Viscosity and viscous attenuation; Relaxation; Bidirectional wave equation; Implicit finite-difference method; One-dimensional; Gaussian; Triangular and rectagular initial conditions; Blowup

Purpose The purpose of this paper is to analyze numerically the blowup in finite time of the solutions to a one-dimensional, bidirectional, nonlinear wave model equation for the propagation of small-amplitude waves in shallow water, as a function of the relaxation time, linear and nonlinear drift, p...