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Zero-Dissipation Limit for Nonlinear Waves

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.

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