Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation

DOI10.1016/0168-9274(92)90049-JzbMath0757.65123OpenAlexW1993384302MaRDI QIDQ1195370

William R. McKinney, Vassilios A. Dougalis, Ohannes A. Karakashian, Jerry L. Bona

Publication date: 25 October 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90049-j

zbMATH Keywords

dissipationnumerical experimentsdispersionnonlinearitylocal well-posednessgeneralized Korteweg-de Vries-Burgers equationimplicit Runge-KuttaGalerkin finite elementsperiodic initial-value problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications to the sciences (65Z05)

Related Items

Spectral approach to Korteweg-de Vries equations on the compactified real line, Fourier splitting and dissipation of nonlinear dispersive waves, Boundary control of the generalized Korteweg-de Vries-Burgers equation, Numerical study of the generalized Korteweg-de Vries equations with oscillating nonlinearities and boundary conditions, A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation, Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations, Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation, A qualitative study and numerical simulations for a time-delayed dispersive equation, The effect of dissipation on solutions of the generalized Korteweg-de Vries equation, Blowup in diffusion equations: A survey, Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up, Boundary linear stabilization of the modified generalized Korteweg-de Vries-Burgers equation, Numerical study of blow-up and dispersive shocks in solutions to generalized Korteweg-de Vries equations, Stabilization of the Korteweg-de Vries-Burgers equation with non-periodic boundary feedbacks

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