不可压缩粘弹性流体的整体解
偏微分方程分析
2009-11-13 v1
摘要
我们证明了在近平衡初值条件下，Oldroyd-B型不可压缩粘弹性系统在全空间中的柯西问题和n维环面上的周期问题存在局部和整体光滑解。该结果在二维和三维空间中均成立。本文提出的结果和方法也适用于广泛的弹性复杂流体，例如磁流体动力学、液晶和混合问题。
引用
@article{arxiv.0901.3658,
title = {Global Solutions for Incompressible Viscoelastic Fluids},
author = {Zhen Lei and Chun Liu and Yi Zhou},
journal= {arXiv preprint arXiv:0901.3658},
year = {2009}
}
备注
We prove the existence of global smooth solutions to the Cauchy problem for the incompressible viscoelastic system of Oldroyd-B type in the case of near equilibrium initial data