The Kortewegde Vries equation, posed in a quarter plane
Abstract
An initial and boundary value problem for the KortewegdeVries 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.
 Publication:

Technical Summary Report Wisconsin Univ
 Pub Date:
 August 1981
 Bibcode:
 1981wisc.reptQ....B
 Keywords:

 KortewegDevries Equation;
 Partial Differential Equations;
 Wave Propagation;
 Boundary Value Problems;
 Finite Element Method;
 Integral Equations;
 Water Waves;
 Fluid Mechanics and Heat Transfer