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dispersive

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Zero-Dissipation Limit for Nonlinear Waves
Jerry L. Bona, Jiahong Wu
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 2 / March 2000

Published online by Cambridge University Press:

15 April 2002, pp. 275-301

Print publication:

March 2000
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Evolution equations featuring nonlinearity, dispersion anddissipation are considered here. For classes of such equationsthat 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.