The hyperbolic nature of the zero dispersion Kdv limit
type: Item
instance of: scholarly article
title: The hyperbolic nature of the zero dispersion Kdv limit
zbMATH Open document ID: 0678.35081
DOI: 10.1080/03605308808820550
author: C. David Levermore
published in: Communications in Partial Differential Equations
publication date: 1988-01-01T00:00:00Z
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4111214
zbMATH Keywords: Korteweg de Vries equation
zbMATH Keywords: zero dispersion
zbMATH Keywords: weak limit
zbMATH Keywords: initial values
zbMATH Keywords: Riemann invariant form
zbMATH Keywords: characteristic speeds
zbMATH Keywords: strictly hyperbolic
zbMATH Keywords: evolution
zbMATH Keywords: Riccati equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/03605308808820550
OpenAlex ID: W2025784082
cites work: Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
cites work: Q3213564
cites work: The zero dispersion limit for the Korteweg-deVries KdV equation
cites work: Application of a Nonlinear WKB Method to the Korteweg–DeVries Equation
cites work: The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient
cites work: Q4151274
description: scientific article