Zero-dispersion limit for integrable equations on the half-line with linearisable data.
Page 1
Fokas, A.S., Kamvissis, S. (2004)
Abstract and Applied Analysis
Jerry L. Bona, Jiahong Wu (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Jerry L. Bona, Jiahong Wu (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Evolution equations featuring nonlinearity, dispersion and dissipation are considered here. For classes of such equations that include the Korteweg-de Vries-Burgers equation and the BBM-Burgers equation, the zero dissipation limit is studied. Uniform bounds independent of the dissipation coefficient are derived and zero dissipation limit results with optimal convergence rates are established.
Page 1