Một số bài toán mở đăng trên tạp chí Nonlinearity

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

OPEN PROBLEMS

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

AbstractReferencesCiting articles Full text:  Acrobat PDF (644 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

AbstractReferencesCiting articles Full text:  Acrobat PDF (83.3 KB)
Three quantum obsessions
M V Berry
Nonlinearity 21 No 2 (February 2008) T19-T26

AbstractReferencesCiting articles Full text:  Acrobat PDF (105 KB)
Convergence, nonconvergence and adiabatic transitions in fully coupled averaging
Yuri Kifer
Nonlinearity 21 No 3 (March 2008) T27-T32

AbstractReferencesCiting articles Full text:  Acrobat PDF (99.7 KB)
Orbits with historic behaviour, or non-existence of averages
Floris Takens
Nonlinearity 21 No 3 (March 2008) T33-T36

AbstractReferences Full text:  Acrobat PDF (69.3 KB)
Open questions leading to a global perspective in dynamics
J Palis
Nonlinearity 21 No 4 (April 2008) T37-T43

AbstractReferences Full text:  Acrobat PDF (96.1 KB)
Spatially localized structures in dissipative systems: open problems
E Knobloch
Nonlinearity 21 No 4 (April 2008) T45-T60

AbstractReferencesCiting articles Full text:  Acrobat PDF (659 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

AbstractReferencesCiting articles Full text:  Acrobat PDF (363 KB)
Linear response despite critical points
Viviane Baladi
Nonlinearity 21 No 6 (June 2008) T81-T90

AbstractReferencesCiting articles Full text:  Acrobat PDF (169 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

AbstractReferencesCiting articles Full text:  Acrobat PDF (727 KB)
Some open problems in real and complex dynamical systems
Yu Ilyashenko
Nonlinearity 21 No 7 (July 2008) T101-T107

AbstractReferences Full text:  Acrobat PDF (94.4 KB)
Orbits’ statistics in chaotic dynamical systems
V Arnold
Nonlinearity 21 No 7 (July 2008) T109-T112

AbstractReferencesCiting articles Full text:  Acrobat PDF (61.9 KB)
Some open questions in ‘wave chaos’
Stéphane Nonnenmacher
Nonlinearity 21 No 8 (August 2008) T113-T121

AbstractReferences Full text:  Acrobat PDF (123 KB)
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

AbstractReferencesCiting articles Full text:  Acrobat PDF (117 KB)
Some nonlinear challenges in biology
Francesco Mosconi, Thomas Julou, Nicolas Desprat, Deepak Kumar Sinha, Jean-François Allemand, Vincent Croquette and David Bensimon
Nonlinearity 21 No 8 (August 2008) T131-T147

AbstractReferences Full text:  Acrobat PDF (844 KB)
Several problems on dynamical systems and mechanics
V V Kozlov
Nonlinearity 21 No 9 (September 2008) T149-T155

AbstractReferences Full text:  Acrobat PDF (81.5 KB)
Some problems in differential geometry and topology
S K Donaldson
Nonlinearity 21 No 9 (September 2008) T157-T164

AbstractReferences Full text:  Acrobat PDF (92.3 KB)
Molecular simulation and related topics: some open mathematical problems
Eric Cancès, C Le Bris and P-L Lions
Nonlinearity 21 No 9 (September 2008) T165-T176

AbstractReferences Full text:  Acrobat PDF (372 KB)
KAM tori: persistence and smoothness
Mikhail B Sevryuk
Nonlinearity 21 No 10 (October 2008) T177-T185

AbstractReferences Full text:  Acrobat PDF (152 KB)
Some challenges in the theory of (semi)-dispersing billiards
Domokos Szász
Nonlinearity 21 No 10 (October 2008) T187-T193

AbstractReferences Full text:  Acrobat PDF (104 KB)
Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations
J L Bona and A S Fokas
Nonlinearity 21 No 10 (October 2008) T195-T203

AbstractReferences Full text:  Acrobat PDF (123 KB)
Geometric function theory: a modern view of a classical subject
Darren Crowdy
Nonlinearity 21 No 10 (October 2008) T205-T219

AbstractReferencesCiting articles Full text:  Acrobat PDF (595 KB)
Solitons as elementary particles: a paradigm scrutinized
Nicholas S Manton
Nonlinearity 21 No 11 (November 2008) T221-T232

AbstractReferences Full text:  Acrobat PDF (128 KB)
Some simple questions related to the Cr stability conjecture
Enrique R Pujals
Nonlinearity 21 No 11 (November 2008) T233-T237

AbstractReferences Full text:  Acrobat PDF (74.5 KB)
Partial differential equation problems from simple to complex fluids
Peter Constantin
Nonlinearity 21 No 11 (November 2008) T239-T244

AbstractReferences Full text:  Acrobat PDF (83.4 KB)
Chaotic phenomena in three settings: large, noisy and out of equilibrium
Lai-Sang Young
Nonlinearity 21 No 11 (November 2008) T245-T252

AbstractReferences Full text:  Acrobat PDF (99.4 KB)
Two limit theorems
Ya G Sinai
Nonlinearity 21 No 12 (December 2008) T253-T254

AbstractReferences Full text:  Acrobat PDF (44.8 KB)
A miscellany of basic issues on incompressible fluid equations
Koji Ohkitani
Nonlinearity 21 No 12 (December 2008) T255-T271

AbstractReferences Full text:  Acrobat PDF (212 KB)
Nonlinearity in complexity science
R S MacKay
Nonlinearity 21 No 12 (December 2008) T273-T281

AbstractReferences Full text:  Acrobat PDF (106 KB)
Partial differential equations and non-diffusive structures
A Stevens and J J L Velázquez
Nonlinearity 21 No 12 (December 2008) T283-T289

AbstractReferences Full text:  Acrobat PDF (100 KB)

Some problems

Thông tin do anh L. L. Triều gửi.

There is a list of (open) problems in Function Theory which were proposed in the Problem Section in the recent workshop in Operator Theory and Function Theory at the Fields Institute last week. Those problems were suggested by mathematicians researching on Function Theory and I am not so sure if they are really important or interesting. Those interested in can access the list at http://www.fields.utoronto.ca/audio/07-08/advances/lacey/ .

“Bibles” in Applied Math

Awhile ago, I and other VNQF members posted some of the most famous books in Quantitative Finance and related fields (including Partial Differential Equations, Numerical Methods, Optimization, Parallel Computing). Recently, I’ve posted a few classic books in Applied Math, based on the request of a member in the VEF’s VietnamBookDrive project. Even more recently, anh Ngo Quang Hung (and “đồng bọn”) have created a list of great textbooks in Computer Science.Here, I merely recompose the list of some bible books in Applied Math that I already did, but maybe more in depth and not limited to the scope of VEF. By Applied Math, I mean a wide spectrum from extremely mathematical topics (they’re essentially subsets of “Pure Math”) such as Partial Differential Equations to Computations (Numerical Analysis, Multiscale Modeling,…) to Probabilistic/Statistical Sciences to Computer Science and to a wide range of Applications (Physics, Chemistry, Biology, Engineering, Finance, Economics, Business, Medicines, etc.). Due to the breath and depth of this giant discipline, the list is by no mean complete and will be updated here continuously (possibly until I die).
Update: I’ll update this list on my blog so please check out that page instead.

Luận văn

Cả nhà ai rãnh đọc chơi nhé. Chương cuối có mấy cái bất đẳng thức vui vui.

https://gvietmathnet.files.wordpress.com/2007/06/thesenguyen.pdf

Tài liệu toán và tiếng Anh

Được gửi bởi Tuấn Anh – Minh Anh. Xin cám ơn sự đóng góp của hai bạn.

“Ở trang http://gigapedia.org có ra nhiều tài liệu toán, tiếng Anh, và nhiều thứ khác nữa.
Muốn tải thì phải đăng ký account của nó. Dùng gmail thì đăng ký bình thường, không rõ không phải gmail thì có đăng ký được không. Sau đó phải active account rồi mới truy cập được.
Khi login xong, vào http://gigapedia.org/browse.html sẽ thấy rất nhiều chủ đề. Sách toán nhiều lắm, chắc mọi người sẽ kiếm được cái gì hay ho.
Tuấn Anh.”

Một số bài giảng từ NCGOA 2007

Đây là một số bài giảng từ NCGOA 2007 do một bạn mới gửi cho Tuấn.

2619_001.pdf

2620_001.pdf

2621_001.pdf

2622_001.pdf

Mọi người có thể vào http://www.math.vanderbilt.edu/ncgoa07/ để down load thêm một số lecture notes khác.

Connes-Marcolli Lectures: “Noncommutative geometry: from Quantum Physics to Motives”