非线性研究中的一些Open Problems

无水1324

如题，在期刊主业上看到一些关于非线性的Open Problems。特转于此,希望能够给大家的学习和科研提供一些参考

Open Problems are short, commissioned articles presenting personal selections of interesting and/or important problems and challenges, large and small, from leaders in the field.
Our hope is that these articles will contribute to setting the agenda for the next 20 years, and beyond. We took great pleasure in inviting these articles and hope that readers of Nonlinearity will find them interesting, stimulating and, in some cases, even provocative

The three-dimensional Euler equations: singular or non-singular?
J D Gibbon, M Bustamante and R M Kerr
Nonlinearity 21 No 8 (August 2008) T123-T129

Abstract  |  References

Full text:  Acrobat PDF (117 KB)

Some open questions in 'wave chaos' Stéphane Nonnenmacher Nonlinearity 21 No 8 (August 2008) T113-T121 Abstract  |  References Full text:  Acrobat PDF (123 KB)

Orbits' statistics in chaotic dynamical systems V Arnold Nonlinearity 21 No 7 (July 2008) T109-T112 Abstract  |  References Full text:  Acrobat PDF (61.9 KB)

Some open problems in real and complex dynamical systems Yu Ilyashenko Nonlinearity 21 No 7 (July 2008) T101-T107 Abstract  |  References Full text:  Acrobat PDF (94.4 KB)

Modelling DNA at the mesoscale: a challenge for nonlinear science? Michel Peyrard, Santiago Cuesta-López and Guillaume James Nonlinearity 21 No 6 (June 2008) T91-T100 Abstract  |  References Full text:  Acrobat PDF (727 KB)

Linear response despite critical points Viviane Baladi Nonlinearity 21 No 6 (June 2008) T81-T90 Abstract  |  References Full text:  Acrobat PDF (169 KB)

Wave-breaking and generic singularities of nonlinear hyperbolic equations Yves Pomeau, Martine Le Berre, Philippe Guyenne and Stephan Grilli Nonlinearity 21 No 5 (May 2008) T61-T79 Abstract  |  References Full text:  Acrobat PDF (363 KB)

Spatially localized structures in dissipative systems: open problems E Knobloch Nonlinearity 21 No 4 (April 2008) T45-T60 Abstract  |  References  |  Citing articles Full text:  Acrobat PDF (659 KB)

Open questions leading to a global perspective in dynamics J Palis Nonlinearity 21 No 4 (April 2008) T37-T43 Abstract  |  References Full text:  Acrobat PDF (96.1 KB)

Orbits with historic behaviour, or non-existence of averages Floris Takens Nonlinearity 21 No 3 (March 2008) T33-T36 Abstract  |  References Full text:  Acrobat PDF (69.3 KB)

Convergence, nonconvergence and adiabatic transitions in fully coupled averaging Yuri Kifer Nonlinearity 21 No 3 (March 2008) T27-T32 Abstract  |  References  |  Citing articles Full text:  Acrobat PDF (99.7 KB)

Three quantum obsessions M V Berry Nonlinearity 21 No 2 (February 2008) T19-T26 Abstract  |  References Full text:  Acrobat PDF (105 KB)

Relative volume of Kolmogorov–Arnold–Moser tori and uniform distribution, stickiness and nonstickiness in Hamiltonian systems Leonid A Bunimovich Nonlinearity 21 No 2 (February 2008) T13-T17 Abstract  |  References Full text:  Acrobat PDF (83.3 KB)

Turbulence transition in pipe flow: some open questions Bruno Eckhardt Nonlinearity 21 No 1 (January 2008) T1-T11

网站链接：http://www.iop.org/EJ/journal/-page=extra.1/0951-7715

[ 本帖最后由 无水1324 于 2008-6-24 13:40 编辑 ]

luran312

谢谢分享！作为长远目标。:@)

tigerlun

附件里面是什么啊？怎么下不了呢？

无水1324

下载不了，请直接到网站主页下载：
http://www.iop.org/EJ/journal/-page=extra.1/0951-7715

period

可以下，看那篇直接点一下就行了

period

我看那一篇，历史轨道有没有统计规律，好像说没有吧:lol

无水1324

就是不确定，才成了一个open problem。
不知道这个open problem该怎么翻译比较好？

xmwhit

open problem在国内有人直接翻译成公开问题，觉得翻译得有些生硬！
如果problem是open的，一般都是未解决的难题，很有挑战性。搞科研要是想弄出点名堂，相关领域的open problems是非常好的指导方向，相当于简短的非常有针对性的关于某个问题的综述。网上可以查到很多关于这种公开问题的介绍，有期刊文章提到的，也有专门编成书籍的。普林斯顿大学就出了一本《Unsolved Problems in Mathematical Systems and Control Theory》，分门别类地介绍了很多open problems，有兴趣可以下载来看看。

另外，谁能帮我把楼主发的第一个问题分享一下，我很感兴趣，可惜我们的网络现在上国外的网站很费劲！多谢！我的邮箱xmwhit@126.com

无水1324

下载之后将后缀改为pdf就可以看了。

[ 本帖最后由 无水1324 于 2008-6-25 09:24 编辑 ]

period

Orbits with historic behaviour, or non-existence of averages
轨道有历史行为，就没有平均数

无水1324

period是不是做这方面的研究？

period

不是的，刚学习。想找些现成的研究套用一下。

pmsl

问题很明确，很有挑战性，解决一个就可以当教授了，加油

21172485

每一个接触过,太前沿了,没一个有任何想法:lol