On well-posedness of a dispersive system of the Whitham-Boussinesq type
On well-posedness of a dispersive system of the Whitham-Boussinesq type
复制标题
Whitham-Boussinesq 型色散系统的适定性
DOI：
10.1016/j.aml.2018.08.005
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
E. Dinvay
中科院分区：
文献类型：
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作者：
E. Dinvay
一个特定的双向Whitham系统模拟表面水波的初始值问题正在考虑中。该系统最近在Dinvay（2018）中引入。数值结果表明，它是稳定的，是一个很好的近似不可压缩的欧拉方程。在这里，我们证明当地的时间适定性。我们的证明依赖于能量方法和紧性参数。此外，一些数值实验，支持系统的有效性作为一个渐近模型的水波，进行了。
The initial-value problem for a particular bidirectional Whitham system modelling surface water waves is under consideration. This system was recently introduced in Dinvay (2018). It is numerically shown to be stable and a good approximation to the incompressible Euler equations. Here we prove local in time well-posedness. Our proof relies on an energy method and a compactness argument. In addition some numerical experiments, supporting the validity of the system as an asymptotic model for water waves, are carried out.