mixed initial-boundary value problem for the capillary wave equation
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2016
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Abstract
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.
| Reference Key |
campos2016advancesmixed
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|---|---|
| Authors | ;B. Juarez Campos;Elena Kaikina;Hector F. Ruiz Paredes |
| Journal | theater |
| Year | 2016 |
| DOI |
10.1155/2016/7475061
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| URL | |
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