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作者:B. Juarez Campos , Elena Kaikina , Hector F. Ruiz Paredes
来源:[J].Advances in Mathematical Physics(IF 0.459), 2016, Vol.2016DOAJ
摘要: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∞sign⁡x-y/x-yuyy(y) dy. We prove the global in-time existence of solutions of IBV problem...
作者:B. Juarez Campos , E. Kaikina , Hector F. Ruiz Paredes
来源:[J].Nonlinear Analysis(IF 1.64), 2017, Vol.160, pp.108-134Elsevier
摘要:Abstract(#br)We study the initial–boundary value problem IBV problem for the cubic capillary wave equation i u t + | u | 2 u = | ∂ x | 3 2 u , t > 0 , x > 0 ; u ( x , 0 ) = u 0 ( x ) , ...
作者:... Elena Kaikina , Hector F. Ruiz Paredes , Pavel Kurasov
来源:[J].Advances in Mathematical Physics(IF 0.459), 2016, Vol.2016Hindawi
摘要:We study the mixed initial-boundary value problem for the capillary wave equation: i u t + u 2 u = ∂ x 3 / 2 u , t > 0 , x > 0 ; u ( x , 0 ) = u 0 ( x ) , x > 0 ; u ( 0 , t ) + β u x ( 0 , t ) = h ( t ) , t > 0 , where ∂ x 3 / 2 u = ( 1 / 2 π ) ∫ 0 ∞ ...
作者:Nakao Hayashi , Elena I. Kaikina , Hector F. Ruiz Paredes
来源:[J].Journal of Evolution Equations(IF 0.788), 2001, Vol.2 (3), pp.319-347Springer
摘要:$ \omega\in(\frac{1}{2},\frac{3}{2}) $]]> , then there exists a unique solution of the initial-boundary value problem (\ref{KdV}). Moreover if the initial data are such that ...

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