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Shape Analysis of Bounded Traveling Wave Solutions and Solution to the Generalized Whitham-Broer-Kaup Equation with Dissipation Terms

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Chinese Annals of mathematics,Series B 2012年第2期33卷 281-308页

作者： Weiguo ZHANG Qiang LIU Xiang LI Boling GUO School of Science University of Shanghai for Science and TechnologyShanghai 200093China Department of Mathematics and Information Science Zhengzhou University of Light IndustryZhengzhou 450002China Institute of Applied Physics and Computational Mathematics Beijing 100088China

This paper deals with the problem of the bounded traveling wave solutions' shape and the solution to the generalized Whitham-Broer-Kaup equation with the dissipation terms which can be called WBK equation for *** authors employ the theory and method of planar dynamical systems to make comprehensive qualitative analyses to the above equation satisfied by the horizontal velocity component u(ξ) in the traveling wave solution (u(ξ),H(ξ)),and then give its global phase *** authors obtain the existent conditions and the number of the solutions by using the relations between the components u(ξ) and H(ξ) in the *** authors study the dissipation effect on the solutions,find out a critical value r*,and prove that the traveling wave solution (u(ξ),H(ξ)) appears as a kink profile solitary wave if the dissipation effect is greater,i.e.,|r| ≥ r*,while it appears as a damped oscillatory wave if the dissipation effect is smaller,i.e.,|r| < r*.Two solitary wave solutions to the WBK equation without dissipation effect is also *** on the above discussion and according to the evolution relations of orbits corresponding to the component u(ξ) in the global phase portraits,the authors obtain all approximate damped oscillatory solutions (u(ξ),H(ξ)) under various conditions by using the undetermined coefficients ***,the error between the approximate damped oscillatory solution and the exact solution is an infinitesimal decreasing exponentially.

关键词： Generalized Whitham-Broer-Kaup equation Shape analysis Solitarywave solution Damped oscillatory solution Error estimate

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On the limit behavior of the magnetic Zakharov system

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Science China mathematics 2012年第3期55卷 509-540页

作者： HAN LiJia ZHANG JingJun GAN ZaiHui GUO BoLing Department of Mathematics and Physics North China Electric Power University Beijing 102206 China College of Mathematics Physics and Information Engineering Jiaxing University Jiaxing 314001 China College of Mathematics and Software Science Sichuan Normal University Chengdu 610068 China Institute of Applied Physics and Computational Mathematics Beijing 100088 China

In this paper,we prove that the solutions of magnetic Zakharov system converge to those of generalized Zakharov system in Sobolev space H s,s > 3/2,when parameter β→∞.Further,when parameter (α,β) →∞ together,we prove that the solutions of magnetic Zakharov system converge to those of Schro¨dinger equation with magnetic effect in Sobolev space H s,s > 3/***,the convergence rate is also obtained.

关键词： magnetic Zakharov system Zakharov system Schrodinger equation with magnetic effect Cauchyproblem limit behavior

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Human genome meeting 2016 : Houston, TX, USA. 28 February - 2 March 2016

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Human genomics 2016年第1期10 Suppl 1卷 12页

作者： A. K. Srivastava Y. Wang R. Huang C. Skinner T. Thompson L. Pollard T. Wood F. Luo R. Stevenson R. Polimanti J. Gelernter X. Lin I. Y. Lim Y. Wu A. L. Teh L. Chen I. M. Aris S. E. Soh M. T. Tint J. L. MacIsaac F. Yap K. Kwek S. M. Saw M. S. Kobor M. J. Meaney K. M. Godfrey Y. S. Chong J. D. Holbrook Y. S. Lee P. D. Gluckman N. Karnani A. Kapoor D. Lee A. Chakravarti C. Maercker F. Graf M. Boutros G. Stamoulis F. Santoni P. Makrythanasis A. Letourneau M. Guipponi N. Panousis M. Garieri P. Ribaux E. Falconnet C. Borel S. E. Antonarakis S. Kumar J. Curran J. Blangero S. Chatterjee J. Akiyama D. Auer C. Berrios L. Pennacchio T. R. Donti G. Cappuccio M. Miller P. Atwal A. Kennedy A. Cardon C. Bacino L. Emrick J. Hertecant F. Baumer B. Porter M. Bainbridge P. Bonnen B. Graham R. Sutton Q. Sun S. Elsea Z. Hu P. Wang Y. Zhu J. Zhao M. Xiong David A. Bennett A. Hidalgo-Miranda S. Romero-Cordoba S. Rodriguez-Cuevas R. Rebollar-Vega E. Tagliabue M. Iorio E. D’Ippolito S. Baroni B. Kaczkowski Y. Tanaka H. Kawaji A. Sandelin R. Andersson M. Itoh T. Lassmann Y. Hayashizaki P. Carninci A. R. R. Forrest C. A. Semple E. A. Rosenthal B. Shirts L. Amendola C. Gallego M. Horike-Pyne A. Burt P. Robertson P. Beyers C. Nefcy D. Veenstra F. Hisama R. Bennett M. Dorschner D. Nickerson J. Smith K. Patterson D. Crosslin R. Nassir N. Zubair T. Harrison U. Peters G. Jarvik F. Menghi K. Inaki X. Woo P. Kumar K. Grzeda A. Malhotra H. Kim D. Ucar P. Shreckengast K. Karuturi J. Keck J. Chuang E. T. Liu B. Ji A. Tyler G. Ananda G. Carter H. Nikbakht M. Montagne M. Zeinieh A. Harutyunyan M. Mcconechy N. Jabado P. Lavigne J. Majewski J. B. Goldstein M. Overman G. Varadhachary R. Shroff R. Wolff M. Javle A. Futreal D. Fogelman L. Bravo W. Fajardo H. Gomez C. Castaneda C. Rolfo J. A. Pinto K. C. Akdemir L. Chin S. Patterson C. Statz S. Mockus S. N. Nikolaev X. I. Bonilla L. Parmentier B. King F. Bezrukov G. Kaya V. Zoete V. Seplyarskiy H. Sharpe T. McKee K. Popadin N. Basset-Seguin R. Ben Chaabene M. Andrianova C. Verdan K. Grosdemange O. Sumara M. E JCSRI Greenwood Genetic Center Greenwood USA School of Computing Clemson University Clemson USA Biochemical Genetics Laboratory Greenwood Genetic Center Greenwood USA Department Psychiatry Yale Sch Med and VA CT Healthcare Center West Haven USA Department Genetics Yale Sch Med and VA CT Healthcare Center West Haven USA Department Neurobiology Yale Sch Med and VA CT Healthcare Center West Haven USA Singapore Institute for Clinical Sciences Singapore Singapore National University of Singapore Singapore Singapore University of British Columbia Vancouver Canada KK Women’s and Children’s Hospital Singapore Singapore University of Southampton and University Hospital Southampton NHS Foundation Trust Southampton UK University of Auckland Auckland New Zealand McKusick-Nathans Institute of Genetic Medicine Johns Hopkins University School of Medicine Baltimore USA Esslingen University of Applied Sciences Esslingen Germany German Cancer Research Center Heidelberg Germany Department of Genetic Medicine and Development University of Geneva Medical School Geneva Switzerland Geneva University Hospitals-HUG Service of Genetic Medicine Geneva Switzerland GE3 Institute of Genetics and Genomics of Geneva University of Geneva Medical School Geneva Switzerland South Texas Diabetes and Obesity Institute School of Medicine University of Texas Rio-Grande Valley Edinburg USA South Texas Diabetes and Obesity Institute School of Medicine University of Texas Rio-Grande Valley Brownsville USA Institute of Genetic Medicine Johns Hopkins University Baltimore USA Genomics Division Lawrence Berkeley National Laboratory Berkeley USA Molecular and Human Genetics Baylor College of Medicine Houston USA Department of Translational Medical Sciences Federico II University Naples Italy Metabolon Inc Durham USA Section of Pediatric Neurology and Neuroscience Baylor College of Medicine Houston USA Tawam Hospital Abu Dhabi United Arab Emirates Stanford Medical School Stanford USA Sch

O1 The metabolomics approach to autism: identification of biomarkers for early detection of autism spectrum disorder A. K. Srivastava, Y. Wang, R. Huang, C. Skinner, T. Thompson, L. Pollard, T. Wood, F. Luo, R. Stevenson O2 Phenome-wide association study for smoking- and drinking-associated genes in 26,394 American women with African, Asian, European, and Hispanic descents R. Polimanti, J. Gelernter O3 Effects of prenatal environment, genotype and DNA methylation on birth weight and subsequent postnatal outcomes: findings from GUSTO, an Asian birth cohort X. Lin, I. Y. Lim, Y. Wu, A. L. Teh, L. Chen, I. M. Aris, S. E. Soh, M. T. Tint, J. L. MacIsaac, F. Yap, K. Kwek, S. M. Saw, M. S. Kobor, M. J. Meaney, K. M. Godfrey, Y. S. Chong, J. D. Holbrook, Y. S. Lee, P. D. Gluckman, N. Karnani, GUSTO study group O4 High-throughput identification of specific qt interval modulating enhancers at the SCN5A locus A. Kapoor, D. Lee, A. Chakravarti O5 Identification of extracellular matrix components inducing cancer cell migration in the supernatant of cultivated mesenchymal stem cells C. Maercker, F. Graf, M. Boutros O6 Single cell allele specific expression (ASE) IN T21 and common trisomies: a novel approach to understand DOWN syndrome and other aneuploidies G. Stamoulis, F. Santoni, P. Makrythanasis, A. Letourneau, M. Guipponi, N. Panousis, M. Garieri, P. Ribaux, E. Falconnet, C. Borel, S. E. Antonarakis O7 Role of microRNA in LCL to IPSC reprogramming S. Kumar, J. Curran, J. Blangero O8 Multiple enhancer variants disrupt gene regulatory network in Hirschsprung disease S. Chatterjee, A. Kapoor, J. Akiyama, D. Auer, C. Berrios, L. Pennacchio, A. Chakravarti O9 Metabolomic profiling for the diagnosis of neurometabolic disorders T. R. Donti, G. Cappuccio, M. Miller, P. Atwal, A. Kennedy, A. Cardon, C. Bacino, L. Emrick, J. Hertecant, F. Baumer, B. Porter, M. Bainbridge, P. Bonnen, B. Graham, R. Sutton, Q. Sun, S. Elsea O10 A novel causal methylation network approach to Alzheimer’s

关键词： Pulmonary Arterial Hypertension Oral Squamous Cell Carcinoma Deep Neural Network Autosomal Recessive Polycystic Kidney Disease Whole Genome Bisulfite Sequencing

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Dielectronic recombination experiment of F-like Nickel on HIRFL-CSRm at Lanzhou

Dielectronic recombination experiment of F-like Nickel on HI...

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第17届国际电子和原子碰撞极化研讨会(The 17th International Symposium on Polarization and Correlation in Electronic and Atomic Collisions)

作者： W.Q.Xu H.P.Liu J.W.Xia Y.J.Yuan H.S.Xu J.C.Yang G.Q.Xiao C.Y.Li J.G.Wang L.F.Zhu X.Ma L.J.Meng X.L.Zhu S.Zhang X.D.Yang J.Li X.M.Ma T.L.Yan Hefei National Laboratory for Physical Sciences at Microscale Department of Modern PhysicsUniversity of Science and Technology of ChinaHefei 230026AnhuiChina Institute of Modern PhysicsChinese Academy of SciencesLanzhou 730000GansuChina Institute of Applied Physics and Computational MathematicsBeijing 100088China Hefei National Laboratory for Physical Sciences at MicroscaleDepartment of Modern PhysicsUniversity of Science and Technology of ChinaHefei 230026AnhuiChina Institute of Modern Physics Chinese Academy of SciencesLanzhou 730000GansuChina

Dielectronic recombination rate coefficients of F-like Nickel have been firstly measured by employing the electron-ion merged-beams technique at the main cooler storage ring in Lanzhou in relative energy range of 0 _ ...

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Dielectronic recombination and resonant transfer excitation processes for helium-like krypton

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Chinese physics B 2012年第10期21卷 224-230页

作者：胡骁骊屈一至张松斌张宇 College of Material Sciences and Optoelectronic Technology Graduate University of the Chinese Academy of Sciences P.O.Box 4588Beijing 100049China Department of Chemistry Texas A & M UniversityCollege StationTX 77842USA The Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics P.O.Box 8009Beijing 100088China

The relativistic configuration interaction method is employed to calculate the dielectronic recombination(DR) cross sections of helium-like krypton via the 1s2lnl ’(n = 2,3,...,15) ***,the resonant transfer excitation(RTE) processes of Kr 34+ colliding with H,He,H 2,and CH x(x = 0-4) targets are investigated under the impulse *** needed Compton profiles of targets are obtained from the Hartree-Fock wave *** RTE cross sections are strongly dependent on DR resonant energies and strengths,and the electron momentum distributions of the *** H 2 and H targets,the ratio of their RTE cross sections changes from 1.85 for the 1s2l2l ’ to 1.88 for other resonances,which demonstrates the weak molecular effects on the Compton profiles of H *** CH x(x = 0-4) targets,the main contribution to the RTE cross section comes from the carbon atom since carbon carries 6 electrons;as the number of hydrogen increases in CH x,the RTE cross section almost increases by the same value,displaying the strong separate atom character for the ***,further comparison of the individual orbital contributions of C(2p,2s,1s) and CH 4(1t 2,2a 1,1a 1) to the RTE cross sections shows that the molecular effects induce differences of about 25.1%,19.9%,and 0.2% between 2p-1t 2,2s-2a 1,and 1s-1a 1 orbitals,respectively.

关键词： dielectronic recombination Compton profile resonant transfer excitation

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Betatron-like resonance in ultra-intense laser mass-limited foil interaction

Betatron-like resonance in ultra-intense laser mass-limited ...

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第七届全国青年计算物理学术会议

作者： T P Yu Z M Sheng A Pukhov Y Yin H B Zhuo Y Y Ma X H Xu F Q Shao C T Zhou College of Science National University of Defense Technology State Key Laboratory of High Performance Computing National University of Defense Technology Key Laboratory for Laser Plasmas (MoE) and Department of Physics Shanghai Jiao Tong University Institut fr Theoretische Physik I Heinrich-Heine-Universitt Düsseldorf Institute of Applied Physics and Computational Mathematics

With the help of three-dimensional particle-in-cell simulations, we study the electron dynamics in radiation pressure acceleration of a mass-limited foil target. When a mass-limited foil is irradiated by a circularly polarized laser pulse, the wing parts of the laser overtake the foil from the foil boundaries. In the laser propagation direction, electrons are significantly accelerated by the laser radiation pressure. In the laser polarization direction, electrons are subjected to a strong radial space-charge force and oscillate in the overtaking laser *** their combined actions, electrons execute a betatron-like oscillation and a spatially helix electron bunch is thus formed. A simple analytical model is proposed for interpreting the high electron energies and large oscillating amplitudes. It is shown that, when the electron oscillation frequency coincides with the laser frequency as witnessed by the electron,betatron-like resonance occurs, resulting in hundreds of MeV electron generation.

关键词： simulation Betatron-like resonance in ultra-intense laser mass-limited foil interaction

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Explicit integration of extremely stiff reaction networks: Asymptotic methods

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computational Science and Discovery 2013年第1期6卷

作者： Guidry, M.W. Budiardja, R. Feger, E. Billings, J.J. Hix, W.R. Messer, O.E.B. Roche, K.J. McMahon, E. He, M. Department of Physics and Astronomy University of Tennessee Knoxville TN 37996-1200 United States Physics Division Oak Ridge National Laboratory Oak Ridge TN 37830 United States Computer Science and Mathematics Division Oak Ridge National Laboratory Oak Ridge TN 37830 United States National Center for Computational Sciences Oak Ridge National Laboratory Oak Ridge TN 37831 United States Pacific Northwest National Laboratory Richland WA 99352 United States Department of Physics University of Washington Seattle WA 98195 United States Department of Mathematics Shanghai Jiao-Tong University Shanghai China Johns Hopkins University Applied Physics Laboratory Laurel MD 20723 United States

We show that, even for extremely stiff systems, explicit integration may compete in both accuracy and speed with implicit methods if algebraic methods are used to stabilize the numerical integration. The required stabilizing algebra depends on whether the system is well removed from equilibrium or is near equilibrium. This paper introduces a quantitative distinction between these two regimes and addresses the former case in depth, presenting explicit asymptotic methods appropriate when the system is extremely stiff but only weakly equilibrated. A second paper (Guidry and Harris 2013 Comput. Sci. Disc. 6 015002) examines quasi-steady-state methods as an alternative to asymptotic methods in systems well away from equilibrium and a third paper (Guidry et al 2013 Comput. Sci. Disc. 6 015003) extends these methods to equilibrium conditions in extremely stiff systems using partial equilibrium methods. All three papers present systematic evidence for timesteps competitive with implicit methods. Because an explicit method can execute a timestep faster than an implicit method, algebraically stabilized explicit algorithms might permit integration of larger networks than have been feasible before in various disciplines. © 2013 IOP Publishing Ltd.

关键词： Algebra

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Barium vanadium silicate BaVSi2O7: A t2g counterpart of the Han purple compound

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Physical Review B 2013年第13期87卷 134412-134412页

作者： A. Vasiliev O. Volkova E. Zvereva M. Isobe Y. Ueda S. Yoshii H. Nojiri V. Mazurenko M. Valentyuk V. Anisimov I. Solovyev R. Klingeler B. Büchner Low Temperature Physics and Superconductivity Department Lomonosov Moscow State University 119991 Moscow Russia Materials Design and Characterization Laboratory Institute for Solid State Physics University of Tokyo Kashiwa 277-8581 Japan Institute for Materials Research Tohoku University Sendai 980-8577 Japan Theoretical Physics and Applied Mathematics Department Ural Federal University 620002 Ekaterinburg Russia Institute for Theoretical Physics University of Hamburg 20355 Hamburg Germany Institute of Metal Physics Russian Academy of Sciences 620990 Ekaterinburg Russia Computational Materials Science Unit National Institute for Materials Science Tsukuba 305-0047 Japan Kirchoff Institute for Physics Heidelberg University 69120 Heidelberg Germany Leibniz Institute for Solid State and Materials Research IFW Dresden 01171 Dresden Germany

By means of thermodynamic and magnetic resonance measurements the S = 1/2 dimer system BaVSi2O7 is characterized. A broad maximum in the temperature dependence of the magnetic susceptibility and a Schottky-type anomaly in the specific heat allows estimating the main exchange interaction within V4+-V4+ dimers as J=37±1 K. This estimation is confirmed by pulsed magnetic field measurements of the magnetization, which is evidenced by the field-induced singlet-triplet transition at about 27 T. Both X-band and high-field terahertz electron spin resonance data qualitatively agree with the results of the specific heat and magnetization measurements. The electronic structure calculations, by using local density approximation, indicate that the magnetic properties of BaVSi2O7 can be interpreted within the weakly interacting dimer model.

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Optimal frames and Newton's method

Optimal frames and Newton's method

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作者： Fickus, Matthew Mixon, Dustin G. Department of Mathematics Air Force Institute of Technology Wright-Patterson AFB OH 45433 United States Program in Applied and Computational Mathematics Princeton University Princeton NJ United States

Given a parametrized family of finite frames, we consider the optimization problem of finding the member of this family whose coefficient space most closely contains a given data vector. This nonlinear least squares problem arises naturally in the context of a certain type of radar system. We derive analytic expressions for the first and second partial derivatives of the objective function in question, permitting this optimization problem to be efficiently solved using Newton's method. We also consider how sensitive the location of this minimizer is to noise in the data vector. We further provide conditions under which one should expect the minimizer of this objective function to be unique. We conclude by discussing a related variational-calculus- based approach for solving this frame optimization problem over an interval of time. © 2012 Copyright.

关键词： Newton-Raphson method

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Landauʼs necessary density conditions for the Hankel transform

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Journal of Functional Analysis 2012年第4期262卷 1845-1866页

作者： Luís Daniel Abreu Afonso S. Bandeira Department of Mathematics of University of Coimbra 3001-454 Coimbra Portugal Program in Applied and Computational Mathematics Princeton University NJ 08544 USA

We will prove an analogue of Landauʼs necessary conditions [H.J. Landau, Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967) 37–52] for spaces of functions whose Hankel transform is supported in a measurable subset S of the positive semi-axis. As a special case, necessary density conditions for the existence of Fourier–Bessel frames are obtained.

关键词： Sampling and interpolation Beurling–Landau density Hankel transform Bessel functions Fourier–Bessel frames

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