The Korteweg–de Vries Equation, Posed in a Quarter-Plane
- 1 November 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 14 (6) , 1056-1106
- https://doi.org/10.1137/0514085
Abstract
An initial- and boundary-value problem for the Korteweg–de Vries equation is shown to be well-posed. The considered problem may serve as a model for unidirectional propagation of plane waves generated by a wavemaker in a uniform medium. Such models apply in regimes in which nonlinear and dispersive effects are of comparable small order.Keywords
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