Date: Thu, 25 Feb 10 01:00:22 GMT Subject: math-ph daily 2 new + 2 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Tue 23 Feb 10 21:00:02 GMT to Wed 24 Feb 10 21:00:01 GMT ------------------------------------------------------------------------------ \\ arXiv:1002.4425 Date: Tue, 23 Feb 2010 21:42:53 GMT (497kb) Title: Typhoon eye trajectory based on a mathematical model: comparing with observational data Authors: Olga S. Rozanova, Jui-Ling Yu, Chin-Kun Hu Categories: math-ph math.MP nlin.AO Comments: 23 pages, 19 figures Journal-ref: Nonlinear Analysis: Real World Applications, 2009 \\ We propose a model based on the primitive system of the Navier-Stokes equations in a bidimensional framework as the $l$ - plane approximation, which allows us to explain the variety of tracks of tropical cyclones (typhoons). Our idea is to construct special analytical solutions with a linear velocity profile for the Navier-Stokes systems. The evidence of the structure of linear velocity near the center of vortex can be proven by the observational data. We study solutions with the linear-velocity property for both barotropic and baroclinic cases and show that they follow the same equations in describing the trajectories of the typhoon eye at the equilibrium state (that relates to the conservative phase of the typhoon dynamics). Moreover, at the equilibrium state, the trajectories can be viewed as a superposition of two circular motions: one has period $2\pi/l,$ the other one has period $2\pi/b_0,$ where $l$ is the Coriolis parameter and $b_0$ is the height-averaged vorticity at the center of cyclone. Also, we compare our theoretical trajectories based on initial conditions from the flow with tracks obtained from the observational database. It is worth to mention that under certain conditions our results are still compatible with observational data although we did not truly consider the influence of steering effect. %Note that the %motion of the typhoon eye can not be totally determinated by initial %conditions due to the effect of ambient pressure field ("steering" %effect). Finally, we propose the parameter-adopting method so that one could correct the weather prediction in real time. Examples of our analysis and the use of parameter-adopting method for the historic trajectories are provided. \\ ( http://arxiv.org/abs/1002.4425 , 497kb) ------------------------------------------------------------------------------ \\ arXiv:1002.4559 Date: Wed, 24 Feb 2010 17:29:42 GMT (19kb) Title: Transformations of Heun's equation and its integral relations Authors: L\'ea Jaccoud El-Jaick and Bartolomeu D. B. Figueiredo Categories: math-ph math.MP \\ For each variable transformation which preserves the form of Heun's equation we find a transformation which leaves invariant the form of the equation for the kernels of integral relations among solutions of the former equation. This enables us to generate new kernels for the Heun equation, given by single hypergeometric functions (Lambe-Ward-type kernels) and by products of two hypergeometric functions (Erd\'elyi-type). Such kernels, by a limiting process, afford new kernels for the confluent Heun equation as well. \\ ( http://arxiv.org/abs/1002.4559 , 19kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1002.4427 (*cross-listing*) Date: Tue, 23 Feb 2010 21:57:02 GMT (75kb) Title: The solution of the $A_r$ T-system for arbitrary boundary Authors: P. Di Francesco Categories: math.CO math-ph math.MP Comments: 42 pages, 33 figures \\ We present an explicit solution of the $A_r$ $T$-system for arbitrary boundary conditions. For each boundary, this is done by constructing a network, i.e. a graph with positively weighted edges, and the solution is expressed as the partition function for a family of non-intersecting paths on the network. This proves in particular the positive Laurent property, namely that the solutions are all Laurent polynomials of the initial data with non-negative integer coefficients. \\ ( http://arxiv.org/abs/1002.4427 , 75kb) ------------------------------------------------------------------------------ \\ arXiv:1002.4457 (*cross-listing*) Date: Wed, 24 Feb 2010 02:52:04 GMT (9kb) Title: A note on the enclosure method for an inverse obstacle scattering problem with a single point source Authors: Masaru Ikehata Categories: math.AP math-ph math.MP Comments: submitted 24 February 2010, 9 pages MSC-class: 35R30 \\ This paper gives a note on an application of the enclosure method to an inverse obstacle scattering problem governed by the Helmholtz equation in two dimensions. It is shown that one can uniquely determine the convex hull of an unknown sound-hard polygonal obstacle from the trace of the total wave that was exerted by a single point source, onto a known circle surrounding the obstacle provided the source is sufficiently far from the obstacle. The result contains a formula that extracts the value of the support function of the obstacle at a generic direction. \\ ( http://arxiv.org/abs/1002.4457 , 9kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:0805.0520 replaced with revised version Wed, 24 Feb 2010 16:14:18 GMT (14kb) Title: The Radial Wave Operator in Similarity Coordinates Authors: Roland Donninger Categories: math-ph math.MP Comments: Minor corrections in order to match the published version MSC-class: 35L05 Journal-ref: J. Math. Phys. 51, 023527 (2010) DOI: 10.1063/1.3299302 \\ ( http://arxiv.org/abs/0805.0520 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:0805.1009 (*cross-listing*) replaced with revised version Tue, 23 Feb 2010 23:58:05 GMT (25kb) Title: Comparing two approaches to the K-theory classification of D-branes Authors: Fabio Ferrari Ruffino and Raffaele Savelli Categories: hep-th math-ph math.KT math.MP Comments: 33 pages, no figures \\ ( http://arxiv.org/abs/0805.1009 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:0905.4932 replaced with revised version Wed, 24 Feb 2010 18:25:06 GMT (19kb) Title: Some Universal Properties for Restricted Trace Gaussian Orthogonal, Unitary and Symplectic Ensembles Authors: Dang-Zheng Liu, Da-Sheng Zhou Categories: math-ph math.MP Comments: 19pages,bounded trace Gaussian ensembles are added MSC-class: 15A52; 41A60 \\ ( http://arxiv.org/abs/0905.4932 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:0906.1231 (*cross-listing*) replaced with revised version Wed, 24 Feb 2010 11:30:22 GMT (51kb) Title: Schr\"odinger operator on the zigzag half-nanotube in magnetic field Authors: Alexei Iantchenko and Evgeny Korotyaev Categories: math.SP math-ph math.MP Comments: 3 figures \\ ( http://arxiv.org/abs/0906.1231 , 51kb) ------------------------------------------------------------------------------ \\ arXiv:0906.1482 replaced with revised version Wed, 24 Feb 2010 10:14:28 GMT (20kb) Title: A new current algebra and the reflection equation Authors: P. Baseilhac and K. Shigechi Categories: math-ph hep-th math.MP math.QA nlin.SI Comments: 14 pages; v2: More details in Section 4; Typos corrected; References added; To appear in Lett. Math. Phys MSC-class: 81R50; 81R10; 81U15 \\ ( http://arxiv.org/abs/0906.1482 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:0907.4464 replaced with revised version Wed, 24 Feb 2010 15:15:03 GMT (11kb) Title: A simple derivation of mean field limits for quantum systems Authors: Peter Pickl Categories: math-ph math.MP MSC-class: 81V70 \\ ( http://arxiv.org/abs/0907.4464 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:0910.1992 replaced with revised version Wed, 24 Feb 2010 09:11:56 GMT (10kb) Title: On higher Poisson and Koszul--Schouten brackets Authors: Andrew James Bruce Categories: math-ph math.MP Comments: 10 pages, based on a talk presented by the author at the first HEP Young Theorists' Forum, University College London, 14-15 May 2009 Corrected typos and improved section 4 \\ ( http://arxiv.org/abs/0910.1992 , 10kb) ------------------------------------------------------------------------------ \\ arXiv:0912.2767 replaced with revised version Wed, 24 Feb 2010 13:48:50 GMT (17kb) Title: Fluid Models from Kinetic Models using a Geometric Averaging Procedure Authors: Ricardo Gallego Torrome Categories: math-ph math.MP Comments: 20 pages MSC-class: 82D10 \\ ( http://arxiv.org/abs/0912.2767 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1001.4894 replaced with revised version Wed, 24 Feb 2010 15:12:58 GMT (43kb) Title: Derivation of the Time Dependent Gross Pitaevskii Equation with External Fields Authors: Peter Pickl Categories: math-ph math.MP Comments: 65 pages MSC-class: 81V70 \\ ( http://arxiv.org/abs/1001.4894 , 43kb) ------------------------------------------------------------------------------ \\ arXiv:1002.0915 (*cross-listing*) replaced with revised version Wed, 24 Feb 2010 03:53:39 GMT (4kb) Title: The S-matrix and the correlation functions beyond perturbation theory Authors: A. V. Stoyanovsky Categories: hep-th math-ph math.MP Comments: 5 pages \\ ( http://arxiv.org/abs/1002.0915 , 4kb) ------------------------------------------------------------------------------ \\ arXiv:1002.1097 replaced with revised version Wed, 24 Feb 2010 13:11:41 GMT (49kb,D) Title: The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain Authors: Niklas Beisert Categories: math-ph hep-th math.MP math.QA Comments: 40 pages, v2: minor textual improvements, references added Report-no: AEI-2010-016 MSC-class: 17B62; 81U15; 17B67; 17B25 \\ ( http://arxiv.org/abs/1002.1097 , 49kb) ------------------------------------------------------------------------------ \\ arXiv:1002.1620 (*cross-listing*) replaced with revised version Wed, 24 Feb 2010 19:45:26 GMT (16kb) Title: On the 7th order ODE with submaximal symmetry Authors: Maciej Dunajski and Vladimir Sokolov Categories: math.DG math-ph math.AG math.MP nlin.SI Comments: 5 pages, 2 figures, minor corrections Report-no: DAMTP-2010-11 \\ ( http://arxiv.org/abs/1002.1620 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1002.3963 (*cross-listing*) replaced with revised version Wed, 24 Feb 2010 19:37:19 GMT (32kb) Title: GL(2, R) structures, G_2 geometry and twistor theory Authors: Maciej Dunajski and Michal Godlinski Categories: math.DG math-ph math.MP Comments: Added references Report-no: DAMTP-2010-7 \\ ( http://arxiv.org/abs/1002.3963 , 32kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arXiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arXiv.org/help/ For a list of archive mirror sites, see http://arXiv.org/servers.html ----------------------------------------------------------------------------- Third-party submissions cause excessive problems. 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