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Approximation of the 2D incompressible electrohydrodynamics system by the artificial compressibility method

GuangmingShao 添加于 2017/7/12 21:53:43  589次阅读 | 0次推荐 | 0个评论

This paper is devoted to the investigation of the 2D incompressible electrohydrodynamics system by the artificial compressibility method. We first introduce a family of perturbed compressible electrohydrodynamics, which approximate the incompressible electrohydrodynamics as the compressibility parameter is sent to zero. Then we prove the unique existence and convergence of solutions for the perturbed compressible electrohydrodynamics system to the solutions of the incompressible electrohydrodynamics system.

作 者:Guangming Shao, Xiaojuan Chai
期刊名称: Boundary Value Problems
期卷页: 2017 第1卷 第14期 1-25页
学科领域:数理科学 » 数学 » 偏微分方程
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