Titlebook: KdV ’95; Proceedings of the I Michiel Hazewinkel,Hans W. Capel,Eduard M. Jager Conference proceedings 1995 Springer Science+Business Media

只看該作者 · 發(fā)表于 2025-4-1 02:21:33

On the Background of Limit Pass for Korteweg—de Vries Equation as the Dispersion Vanishesean one for conservation laws. The applications to the Cauchy problem to KdV equation, when dispersion tends to zero are considered. Also the Galerkin method for a periodic problem for the KdV equation is considered.

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只看該作者 · 發(fā)表于 2025-4-1 10:44:04

The KPI Equation with Unconstrained Initial Data= 0 and . = 0. It is shown in particular that the solution .(.,.,.) has a time derivative discontinuous at . = 0 and that at any . ≠ 0 it does not belong to the Schwartz space no matter how small in norm and rapidly decaying at large distances the initial data are chosen.

只看該作者 · 發(fā)表于 2025-4-1 18:04:46

只看該作者 · 發(fā)表于 2025-4-1 19:05:56

Applications of KdVkthroughs in the development of modern nonlinear mathematical science. Of all the completely integrable systems discovered since 1967, KdV certainly remains the most fully understood and arguably the most important for applications to macroscopic phenomena and processes.

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