三维可压流Stokes近似系统的唯一可解性  

Unique solvability of the stokes approximation equations for three-dimensional compressible flows

作　　者：郭蒙 郭真华[1] 

机构地区：[1]西北大学数学系,西安710127

出　　处：《黑龙江大学自然科学学报》2010年第5期611-618,共8页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10771170)

摘　　要：研究三维有界光滑区域上的Stokes近似系统的唯一可解性问题。首先考虑线性化系统强解的全局存在性,其次通过线性化系统构造迭代逼近系统,并对迭代逼近系统的强解做一致估计;最后得到迭代逼近解序列的收敛性。证明了当初始值满足一个兼容性条件时Stokes近似系统初边值问题局部强解的存在唯一性。The unique solvability of the Stokes approximation equations onto a three-dimensional bounded smooth domain is studied.The global existence of the strong solution to linearized equations is firstly considered.Then the iterative approximation system has been constructed by linearized system and its strong solution has been uniformly estimated.The convergence of the sequence of iterative approximation is concluded.The unique existence of the local strong solution to the initial boundary value problem for the Stokes approximation equations is investigated when the initial date satisfies a natural compatibility condition.

关 键 词：三维可压流Stokes近似系统 局部强解 唯一可解性 

分 类 号：O175.2[理学—数学]