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∞signx-y/x-yuyy(y) dy. We prove the global in-time existence of solutions of IBV problem for nonlinear cap...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/7475061 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841524775357251584 |
|---|---|
| author | B. Juarez Campos Elena Kaikina Hector F. Ruiz Paredes |
| author_facet | B. Juarez Campos Elena Kaikina Hector F. Ruiz Paredes |
| author_sort | B. Juarez Campos |
| collection | DOAJ |
| description | 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∞signx-y/x-yuyy(y) dy. 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. |
| format | Article |
| id | doaj-art-3c86d48080f54997b3e88f2b1ba65c7c |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-3c86d48080f54997b3e88f2b1ba65c7c2025-02-03T05:47:27ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/74750617475061Mixed Initial-Boundary Value Problem for the Capillary Wave EquationB. Juarez Campos0Elena Kaikina1Hector F. Ruiz Paredes2Instituto Tecnologico de Morelia, Avenida Tecnologico No. 1500, Lomas de Santiaguito, 58120 Morelia, MICH, MexicoCentro de Ciencias Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), 58089 Morelia, MICH, MexicoInstituto Tecnologico de Morelia, Avenida Tecnologico No. 1500, Lomas de Santiaguito, 58120 Morelia, MICH, MexicoWe 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∞signx-y/x-yuyy(y) dy. 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.http://dx.doi.org/10.1155/2016/7475061 |
| spellingShingle | B. Juarez Campos Elena Kaikina Hector F. Ruiz Paredes Mixed Initial-Boundary Value Problem for the Capillary Wave Equation Advances in Mathematical Physics |
| title | Mixed Initial-Boundary Value Problem for the Capillary Wave Equation |
| title_full | Mixed Initial-Boundary Value Problem for the Capillary Wave Equation |
| title_fullStr | Mixed Initial-Boundary Value Problem for the Capillary Wave Equation |
| title_full_unstemmed | Mixed Initial-Boundary Value Problem for the Capillary Wave Equation |
| title_short | Mixed Initial-Boundary Value Problem for the Capillary Wave Equation |
| title_sort | mixed initial boundary value problem for the capillary wave equation |
| url | http://dx.doi.org/10.1155/2016/7475061 |
| work_keys_str_mv | AT bjuarezcampos mixedinitialboundaryvalueproblemforthecapillarywaveequation AT elenakaikina mixedinitialboundaryvalueproblemforthecapillarywaveequation AT hectorfruizparedes mixedinitialboundaryvalueproblemforthecapillarywaveequation |