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带有外力项和真空的可压缩的Navier-Stokes方程的解的正则性 被引量：1

Regularity of the solutions for compressible Navier-Stokes equations with external force and vacuum
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摘要 在压力和和粘性系数是密度的一般函数的情况下,研究了可压缩的Navier-Stokes方程的解在H4空间中的存在性和渐近性,利用Poincare不等式,Holder不等式,Cauchy不等式等一些不等式得到了弱解的先验估计。 In the paper, we discusses the existence and asymptotic behavior of solutions to compressible Navier-Stokes equations in spaceH4 under pressure and viscosity coefficient is generally a function of density. Using the Poincare inequality, Holder inequality, Cauchy inequality to obtain the prior estimate of the weak solutions .
作者 孔春香 姜金平
机构地区 延安大学数学与计算机科学学院
出处 《贵州师范大学学报（自然科学版）》 CAS 2015年第3期49-53,70,共6页 Journal of Guizhou Normal University：Natural Sciences
基金 陕西省教育厅2014年科学研究项目(14JK1841) 陕西省自然科学基础研究计划项目(2014JM2-1003)
关键词 NAVIER-STOKES方程 粘性依赖密度 整体存在性 外力项 Navier-Stokes equation density-dependent viscosity global existence external force
分类号 O175.26 [理学—基础数学]
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参考文献13

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二级参考文献16

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共引文献5

同被引文献10

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贵州师范大学学报（自然科学版）
2015年 第3期

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