A non-standard vector problem in R3 arising in the time-integration of velocity-vorticity systems

被引：0

作者：

Vitoriano Ruas

机构：

[1] UPMC URA229-CNRS & Université de Saint-Etienne,Laboratoire de Modélisation en Mécanique

[2] Faculté des Sciences et Techniques,undefined

来源：

Japan Journal of Industrial and Applied Mathematics | 2000年 / 17卷

关键词：

Helmholtz problem; non-standard boundary conditions; three-dimensional; velocity-vorticity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A coupled second order vector problem for the Helmholtz operator in three-dimension space, with a non-standard set of boundary conditions is studied. Its well-posedness is demonstrated, and a solution procedure based on a boundary condition uncoupling is presented. The whole study is directly applicable to the integration in time of the incompressible Navier-Stokes equations in velocity-vorticity representation.

引用

页码：101 / 118

页数：17