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成功了,我证到了密度的平方可积性
热度 2 张祖锦 2011-4-14 11:48
真是功夫不负有心人。4月4日开始看稳态可压流体力学方程。终于那密度无条件的向我投降了。 经历了如下的几个阶段: 1.要么加了一个非物理的条件(关于粘性系数的),要么就强制div u属于某个可积空间。 2.猛地一回头,发现了一个错误的结果,错误的得到了密度是2可积的。 &n ...
个人分类: 数学文献|3174 次阅读|4 个评论 热度 2
On stationary sols for 2D viscous isothermal NSE-Improvement
张祖锦 2011-4-12 17:06
J. Frehse, M. Steinhauer, W. Weigant ( http://bbs.sciencenet.cn/home.php?mod=spaceuid=287000do=blogid=429553 http://bbs.sciencenet.cn/home.php?mod=spaceuid=287000do=blogid=430857 ) established the existence of a weak solution to the 2-D stead ...
个人分类: 数学文献|2323 次阅读|没有评论
The Dirichlet problem for viscous CINS in 2D
张祖锦 2011-4-9 17:04
J. Frehse, M. Steinhauer, W. Weigant, The Dirichlet problem for viscous compressible isothermal Navier-Stokes equations in two dimensions, Arch. Rational Mech. 198 (2010), 1-12. Abstract We consider the Navier-Stokes equations for compressible isothermal flow i ...
个人分类: 数学文献|2442 次阅读|没有评论
On stationary sols for 2D viscous isothermal NSE-Revisited
张祖锦 2011-4-8 12:03
On stationary sols for 2D viscous isothermal NSE-Revisited
http://bbs.sciencenet.cn/home.php?mod=spaceuid=287000do=blogid=429553 Last time I read this paper. I do think that I could improve this result, although the authors have improved the regularity of the density to 2 in a later paper published in ARMA. Ter ...
个人分类: 数学文献|2620 次阅读|没有评论
Weak strong uniqueness for the isentropic CNSE
张祖锦 2011-4-6 23:01
Pierre Germain, Weak-strong uniqueness for the isentropic compressible Navier-Stokes system. J. Math. Fluid Mech. 13 (2011), 137-146. Abstract We prove weak-strong uniqueness results for the isentropic compressible Navier-Stokes system on the torus. In other words, we giv ...
个人分类: 数学文献|2495 次阅读|没有评论
On stationary solutions for 2D viscous isothermal NSE
张祖锦 2011-4-4 12:00
By J. Frehse, M. Steinhauer, W. Weigant J. Math. Fluid Mech. 13 (2011), 55-63. Abstract We consider the Navier-Stokes equationsfor compressible isothermal flow in the steady two dimensional case and show the existence of a weak solution in t ...
个人分类: 数学文献|2294 次阅读|没有评论
An estimate for the vorticity of the NSE by Z.M. Qian
张祖锦 2011-3-31 19:41
An estimate for the vorticity of the NSE by Z.M. Qian
C.R. Acad. Sci. Paris. Ser. I 347 (2009) 89-92. Abstract Let be a strong solution of the Navier-Stokes equations on 3-dimensional torus , and be the voricity. In this note we show that is decreasing in t as long as the solution exists, where ...
个人分类: 数学文献|2889 次阅读|没有评论

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