Publication Date:
2016-01-01
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.
Print ISSN:
1687-9120
Electronic ISSN:
1687-9139
Topics:
Mathematics
,
Physics
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