Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation
Piotr Biler (1985)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Convergence of solutions of generalized Korteweg-de Vries-Burgers equations to those of first order equations”
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation
Nonlinear eigenvalue problems
Walter Petry (1973)
Commentationes Mathematicae Universitatis Carolinae
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Zero-Dissipation Limit for Nonlinear Waves
Jerry L. Bona, Jiahong Wu (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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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.