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arXiv:1109.5217
张祖锦 2011-9-27 22:39
Existence of weak solutions for the generalized Navier-Stokes equations with damping http://arxiv.org/abs/1109.5217 In this work we consider the generalized Navier-Stoke equations with the presence of a damping term in the momentum equation. % The problem studied here derives fr ...
个人分类: 数学文献|2319 次阅读|没有评论
arXiv:1109.5328
张祖锦 2011-9-27 22:36
Global symmetric classical and strong solutions of the full compressible Navier-Stokes equations with vacuum and large initial data http://arxiv.org/abs/1109.5328 In the paper, we prove the global existence of classical and strong solutions of the full compressible Navier-Stokes ...
个人分类: 数学文献|2442 次阅读|没有评论
arXiv:1109.5339
张祖锦 2011-9-27 22:35
Low Mach number limit for the isentropic Euler system with axisymmetric initial data http://arxiv.org/abs/1109.5339 This paper is devoted to the study of the low Mach number limit for the isentropic Euler system with axisymmetric initial data without swirl. In the first part of ...
个人分类: 数学文献|2106 次阅读|没有评论
arXiv:1109.5447
张祖锦 2011-9-27 22:34
Global classical solutions to the compressible Euler-Maxwell equations http://arxiv.org/abs/1109.5447 In this paper, we consider the compressible Euler-Maxwell equations arising in semiconductor physics, which take the form of Euler equations for the conservation laws of mass de ...
个人分类: 数学文献|2393 次阅读|没有评论
一个计算
张祖锦 2011-5-30 06:58
In := Psi = (4/Pi (x + Cos Sin ) - 2 Sin )/Cos ^2 Out = Sec ^2 (-2 Sin + (4 (x + Cos Sin ))/ ) In := Limit , x - Pi/2] Out = 1 In := Limit , x - -Pi/2] Out = -1 In := Simplify - Sin + Sin Cos D , x] - 1/2 Cos ^2 D , x], x]] Out = 0 &n ...
个人分类: 数学文献|2371 次阅读|没有评论
关于非常数有界调和函数存在性的猜测
张祖锦 2011-5-23 23:01
在Yau,Schoen的讲义Page 76 有如下的 猜测: 设M 是单连通的完备 Riemann 流形,截面曲率绝对值 =1, 单射半径 0,第一特征值 0,则 M 上存在非常数的有界调和函数. 而文中加上以条件---M上存在一双曲等距,而获得了 M 上存在非常数的有界调和函数。 现在没 ...
个人分类: 数学文献|2709 次阅读|没有评论
Navier-Stokes的高阶导数估计
热度 1 张祖锦 2011-5-11 12:27
前段时间看到Vasseur的一篇在Ann. I. Poincare的文章,给出了速度的整数阶导数估计。我的天,正想好好回顾下Lions的第一卷,准备做速度的分数阶估计。 昨天在 Arxiv中 Vasseur与其合作者就已经挂了一篇出来,说得到了几乎到三阶导数的L^1_{loc}估计。这位大哥一已经写了62页。我想我不太会去弄了。 ...
个人分类: 数学文献|2694 次阅读|1 个评论 热度 1
3D stationary cii NSE in the thin periodical domain
张祖锦 2011-4-17 22:14
Perhaps it is not possible! Since it involes the 2D stream function.
个人分类: 数学文献|1969 次阅读|没有评论
2D stationary compressible isothermal NSE
张祖锦 2011-4-17 11:47
通过H^p空间与BMO空间之对偶,获得了 但是剩下怎么办? 刚刚这个式子是比较好的。
个人分类: 数学文献|2053 次阅读|没有评论
3D stationary compressible Navier-Stokes
张祖锦 2011-4-17 11:43
It is hard. Even if I assume as in that with p1. I can not get any result. Find other approaches then.
个人分类: 数学文献|2360 次阅读|没有评论

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