Zero-dissipation limit for nonlinear waves

Authors
Bona, JL Wu, J
Citation
Jl. Bona et J. Wu, Zero-dissipation limit for nonlinear waves, ESAIM-M MOD, 34(2), 2000, pp. 275-301
Citations number
32
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
34
Issue
2
Year of publication
2000
Pages
275 - 301
Database
ISI
SICI code
0764-583X(200003/04)34:2<275:ZLFNW>2.0.ZU;2-B
Abstract
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 ra tes are established.