Mixed Initial‐Boundary Value Problem for the Capillary Wave Equation

B. Juarez Campos, Elena Kaikina and Hector F. Ruiz Paredes

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: We study the mixed initial‐boundary value problem for the capillary wave equation: iut+u2u=∂x3/2u, t>0000000, x>; u(x,)=u0(x), x>; u(,t)+βux(,t)=h(t), t>, 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 capillary equation with inhomogeneous Robin boundary conditions. Also we are interested in the study of the asymptotic behavior of solutions.

Date: 2016
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https://doi.org/10.1155/2016/7475061

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:7475061

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