Mixed Initial-Boundary Value Problem for the Capillary Wave Equation

Mixed Initial-Boundary Value Problem for the Capillary Wave Equation

We study the mixed initial-boundary value problem for the capillary wave equation: iut+u2u=∂x3/2u,  t>0,  x>0;  u(x,0)=u0(x),  x>0; u(0,t)+βux(0,t)=h(t),  t>0, where ∂x3/2u=(1/2π)∫0∞sign⁡x-y/x-yuyy(y) dy. We prove the global in-time existence of solutions of IBV problem for nonlinear cap...

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Bibliographic Details
Main Authors: B. Juarez Campos, Elena Kaikina, Hector F. Ruiz Paredes
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/7475061
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