Serre方程周期初值问题Galerkin半离散化的适定性
On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations
摘要：
本文研究水波理论中Serre方程的周期初值问题及其在光滑周期多项式样条空间中的半离散逼近。我们证明了半离散问题是适定的，局部的时间，并满足离散的水深正属性。
英文摘要：
We consider the periodic initial-value problem for the Serre equations of water-wave theory and its semidiscrete approximation in the space of smooth periodic polynomial splines. We prove that the semidiscrete problem is well posed, locally in time, and satisfies a discrete positivity property for the water depth.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
