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Advances in Mathematical Physics
Volume 2016, Article ID 7475061, 21 pages
http://dx.doi.org/10.1155/2016/7475061
Research Article

Mixed Initial-Boundary Value Problem for the Capillary Wave Equation

1Instituto Tecnologico de Morelia, Avenida Tecnologico No. 1500, Lomas de Santiaguito, 58120 Morelia, MICH, Mexico
2Centro de Ciencias Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), 58089 Morelia, MICH, Mexico

Received 3 November 2015; Accepted 18 April 2016

Academic Editor: Pavel Kurasov

Copyright © 2016 B. Juarez Campos et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the mixed initial-boundary value problem for the capillary wave equation: , where . We prove the global in-time existence of solutions of IBV problem for nonlinear capillary equation with inhomogeneous Robin boundary conditions. Also we are interested in the study of the asymptotic behavior of solutions.