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1

Klumov, Boris A., and Sergey A. Khrapak. "Two-body entropy of two-dimensional fluids." Results in Physics 17 (June 2020): 103020. http://dx.doi.org/10.1016/j.rinp.2020.103020.

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2

Adhidjaja, Jopie I., Gerald W. Hohmann, and Michael L. Oristaglio. "Two‐dimensional transient electromagnetic responses." GEOPHYSICS 50, no. 12 (1985): 2849–61. http://dx.doi.org/10.1190/1.1441904.

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The time‐domain electromagnetic (TEM) modeling method of Oristaglio and Hohmann is reformulated here in terms of the secondary field. This finite‐difference method gives a direct, explicit time‐domain solution for a two‐dimensional body in a conductive earth by advancing the field in time with DuFort‐Frankel time‐differencing. As a result, solving for the secondary field, defined as the difference between the total field and field of a half‐space, is not only more efficient but is also simpler and eliminates several problems inherent in the solution for the total field. For example, because th
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3

Han, Jianing. "Two-dimensional three-body quadrupole–quadrupole interactions." Journal of Physics B: Atomic, Molecular and Optical Physics 54, no. 14 (2021): 145104. http://dx.doi.org/10.1088/1361-6455/ac19f5.

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4

Filippone, A., and J. Siquier. "Aerodynamic admittance of a two-dimensional body." Aeronautical Journal 107, no. 1073 (2003): 405–18. http://dx.doi.org/10.1017/s0001924000130039.

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AbstractThe unsteady load response in the frequency domain for a general two-dimensional body has been determined. Systems with one degree of freedom have been considered. The theory is based on the potential incompressible flow, and resolves around a mathematical treatment that starts from the theory of Drischler and Diederich. Admittance for the lift force and pitching moment (or side force and yawing moment for non lifting systems) has been calculated in closed form or numerically for aerofoils, swept back and swept forward wings, delta wings, and some ground vehicles (various car shapes) u
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5

Wu, S. S. "Three-dimensional relativistic two-body wave equation." Journal of Physics G: Nuclear and Particle Physics 16, no. 10 (1990): 1447–60. http://dx.doi.org/10.1088/0954-3899/16/10/008.

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6

Wang, Yu, and Matthew T. Mason. "Two-Dimensional Rigid-Body Collisions With Friction." Journal of Applied Mechanics 59, no. 3 (1992): 635–42. http://dx.doi.org/10.1115/1.2893771.

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This paper presents an analysis of a two-dimensional rigid-body collision with dry friction. We use Routh’s graphical method to describe an impact process and to determine the frictional impulse. We classify the possible modes of impact, and derive analytical expressions for impulse, using both Poisson’s and Newton’s models of restitution. We also address a new class of impacts, tangential impact, with zero initial approach velocity. Some methods for rigid-body impact violate energy conservation principles, yielding solutions that increase system energy during an impact. To avoid such anomalie
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7

Ruan, W. Y., Y. Y. Liu, and C. G. Bao. "Structures of Two-Dimensional Three-Body Systems." Few-Body Systems 21, no. 2 (1996): 81–96. http://dx.doi.org/10.1007/s006010050042.

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8

Gouveia, Paulo D. F., Alexander Plakhov, and Delfim F. M. Torres. "Two-dimensional body of maximum mean resistance." Applied Mathematics and Computation 215, no. 1 (2009): 37–52. http://dx.doi.org/10.1016/j.amc.2009.04.030.

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9

Han, Jianing. "Two-Dimensional Six-Body van der Waals Interactions." Atoms 10, no. 1 (2022): 12. http://dx.doi.org/10.3390/atoms10010012.

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Van der Waals interactions, primarily attractive van der Waals interactions, have been studied over one and half centuries. However, repulsive van der Waals interactions are less widely studied than attractive van der Waals interactions. In this article, we focus on repulsive van der Waals interactions. Van der Waals interactions are dipole–dipole interactions. In this article, we study the van der Waals interactions between multiple dipoles. Specifically, we focus on two-dimensional six-body van der Waals interactions. This study has many potential applications. For example, the result may be
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10

Yokohama, Michinari. "Two-Dimensional Electrophoresis of Equine Body Fluid Proteins." Animal blood-group research information 1991, no. 19 (1991): 19–24. http://dx.doi.org/10.5924/abgri1983.1991.19.

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11

Souza dos Santos, Denilson Paulo, and Alessandra Ferreira. "Three-dimensional Two-Body Tether System — Equilibrium Solutions." Journal of Physics: Conference Series 641 (October 7, 2015): 012009. http://dx.doi.org/10.1088/1742-6596/641/1/012009.

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12

Hutchinson, D. O., and B. Jongbloed. "Two-dimensional gel electrophoresis in inclusion body myositis." Journal of Clinical Neuroscience 15, no. 4 (2008): 440–44. http://dx.doi.org/10.1016/j.jocn.2007.03.006.

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13

Mao-hua, Wang. "Nonlinear oscillation of a two-dimensional lift body." Applied Mathematics and Mechanics 7, no. 3 (1986): 255–58. http://dx.doi.org/10.1007/bf01900705.

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14

Rencis, J. J., and Qingping Huang. "Fundamental functions for a two-dimensional microelastic body." Engineering Analysis with Boundary Elements 23, no. 9 (1999): 787–90. http://dx.doi.org/10.1016/s0955-7997(99)00027-2.

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15

Hayakawa, Hisao, and Fereydoon Family. "Many-body effects in two-dimensional Ostwald ripening." Physica A: Statistical Mechanics and its Applications 163, no. 2 (1990): 491–500. http://dx.doi.org/10.1016/0378-4371(90)90140-n.

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16

Zhang, Xinshu, and Robert F. Beck. "Computations for large-amplitude two-dimensional body motions." Journal of Engineering Mathematics 58, no. 1-4 (2006): 177–89. http://dx.doi.org/10.1007/s10665-006-9123-5.

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17

Unzueta, Luis, Nerea Aranjuelo, Jon Goenetxea, Mikel Rodriguez, and Maria Teresa Linaza. "Contextualised learning‐free three‐dimensional body pose estimation from two‐dimensional body features in monocular images." IET Computer Vision 10, no. 4 (2016): 299–307. http://dx.doi.org/10.1049/iet-cvi.2015.0283.

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18

Harshman, N. L. "One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles." Few-Body Systems 57, no. 1 (2015): 11–43. http://dx.doi.org/10.1007/s00601-015-1024-6.

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19

Blackburn, H. M., and J. M. Lopez. "On three-dimensional quasiperiodic Floquet instabilities of two-dimensional bluff body wakes." Physics of Fluids 15, no. 8 (2003): L57—L60. http://dx.doi.org/10.1063/1.1591771.

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20

Trong, Dang Duc, Pham Ngoc Dinh Alain, Phan Thanh Nam, and Truong Trung Tuyen. "Determination of the body force of a two-dimensional isotropic elastic body." Journal of Computational and Applied Mathematics 229, no. 1 (2009): 192–207. http://dx.doi.org/10.1016/j.cam.2008.10.053.

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21

Harshman, N. L. "One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries. II. N Particles." Few-Body Systems 57, no. 1 (2015): 45–69. http://dx.doi.org/10.1007/s00601-015-1025-5.

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22

Zhang Bo and Xie You-Bai. "Two-body microcutting wear model part I: Two-dimensional roughness model." Wear 129, no. 1 (1989): 37–48. http://dx.doi.org/10.1016/0043-1648(89)90277-9.

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23

Manturova, V. O., A. Ya Kanel-Belov, S. Kim, and F. K. Nilov. "Two-dimensional self-trapping structures in three-dimensional space." Доклады Российской академии наук. Математика, информатика, процессы управления 515, no. 1 (2024): 92–99. http://dx.doi.org/10.31857/s2686954324010144.

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It is known that if a finite set of convex figures is present on the plane, whose interiors do not intersect, then among these figures there is at least one outermost figure – one that can be continuously moved “to infinity” (outside a large circle containing the other figures), while leaving all other figures stationary and not intersecting their interiors during the movement. It has been discovered that in three-dimensional space, there exists a phenomenon of self-trapping structures. A self-trapping structure is a finite (or infinite) set of convex bodies with non-intersecting interiors, su
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24

Feng, Li-Hao, Guo-Peng Cui, and Li-Yang Liu. "Two-dimensionalization of a three-dimensional bluff body wake." Physics of Fluids 31, no. 1 (2019): 017104. http://dx.doi.org/10.1063/1.5066422.

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25

Ngampruetikorn, Vudtiwat, Meera M. Parish, and Jesper Levinsen. "Three-body problem in a two-dimensional Fermi gas." EPL (Europhysics Letters) 102, no. 1 (2013): 13001. http://dx.doi.org/10.1209/0295-5075/102/13001.

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26

Mann, R. B., G. Potvin, and M. Raiteri. "Energy for N -body motion in two-dimensional gravity." Classical and Quantum Gravity 17, no. 23 (2000): 4941–58. http://dx.doi.org/10.1088/0264-9381/17/23/311.

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27

Hutchinson, David O., Bronwen Jongbloed, and Garth Cooper. "455: Two-dimensional gel electrophoresis in inclusion body myositis." Journal of Clinical Neuroscience 15, no. 3 (2008): 361–62. http://dx.doi.org/10.1016/j.jocn.2007.07.065.

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28

Kamiya, N., and E. Kita. "Local shape optimization of a two-dimensional elastic body." Finite Elements in Analysis and Design 6, no. 3 (1990): 207–16. http://dx.doi.org/10.1016/0168-874x(90)90027-c.

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29

Crisco, J. J., K. Hentel, S. W. Wolfe, and J. S. Duncan. "Two-dimensional rigid-body kinematics using image contour registration." Journal of Biomechanics 28, no. 1 (1995): 119–24. http://dx.doi.org/10.1016/0021-9290(95)80015-8.

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30

Karki, Shanker S., Bimal P. Karki, Tarun K. Dey, and Suresh K. Sinha. "Semiclassical statistical mechanics of two-dimensional hard-body fluids." Journal of Chemical Physics 122, no. 1 (2005): 014517. http://dx.doi.org/10.1063/1.1824901.

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31

Falbo‐Kenkel, M. K., and F. Mansouri. "Nonperturbative two‐body dynamics in 2+1‐dimensional gravity." Journal of Mathematical Physics 34, no. 1 (1993): 139–53. http://dx.doi.org/10.1063/1.530396.

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32

Dunnett, S. J., and D. B. Ingham. "A mathematical theory to two-dimensional blunt body sampling." Journal of Aerosol Science 17, no. 5 (1986): 839–53. http://dx.doi.org/10.1016/0021-8502(86)90037-6.

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33

López-Castillo, A. "Two-Centre Regularization: One-Dimensional Restricted Four-Body Problem." Few-Body Systems 40, no. 3-4 (2007): 193–208. http://dx.doi.org/10.1007/s00601-006-0171-1.

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34

Arimitsu, Y., and K. Nishioka. "Generalized Two-Dimensional Problems in the Isotropic Elastic Body." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 68, no. 12 (1988): 631–35. http://dx.doi.org/10.1002/zamm.19880681210.

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35

Guinea, Francisco, Mikhail I. Katsnelson, and Tim O. Wehling. "Two-dimensional materials: Electronic structure and many-body effects." Annalen der Physik 526, no. 9-10 (2014): A81—A82. http://dx.doi.org/10.1002/andp.201470096.

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36

Zhang, Yachao. "Many-Body Calculations of Excitons in Two-Dimensional GaN." Crystals 13, no. 7 (2023): 1048. http://dx.doi.org/10.3390/cryst13071048.

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We present an ab initio study on quasiparticle (QP) excitations and excitonic effects in two-dimensional (2D) GaN based on density-functional theory and many-body perturbation theory. We calculate the QP band structure using GW approximation, which generates an indirect band gap of 4.83 eV (K→Γ) for 2D GaN, opening up 1.24 eV with respect to its bulk counterpart. It is shown that the success of plasmon-pole approximation in treating the 2D material benefits considerably from error cancellation. On the other hand, much better gaps, comparable to GW ones, could be obtained by correcting the Kohn
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37

Gao, Yang, and Andreas Ricoeur. "Three-dimensional analysis of a spheroidal inclusion in a two-dimensional quasicrystal body." Philosophical Magazine 92, no. 34 (2012): 4334–53. http://dx.doi.org/10.1080/14786435.2012.706717.

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38

Sun, Zijie, Chen Zhang, Xiaofeng Qin, Yu-an Zhang, Rende Song, and Makoto Sakamoto. "Two-Dimensional Image Based Body Size Measurement and Body Weight Estimation for Yaks." Proceedings of International Conference on Artificial Life and Robotics 24 (January 10, 2019): 241–45. http://dx.doi.org/10.5954/icarob.2019.os10-3.

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39

Hansen, J. P., and P. Viot. "Two-body correlations and pair formation in the two-dimensional Coulomb gas." Journal of Statistical Physics 38, no. 5-6 (1985): 823–50. http://dx.doi.org/10.1007/bf01010417.

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40

Zhang Wei-Xi, She Yan-Chao, and Wang Deng-Long. "Soliton characteristics of two-dimensional condensates with two- and three-body interaction." Acta Physica Sinica 60, no. 7 (2011): 070514. http://dx.doi.org/10.7498/aps.60.070514.

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41

Isgаndаrov, E., R. Hushanov, and N. Shahbazli. "DIGITAL MODELING OF GRAVITY-MAGNETIC ANOMALIES." Sciences of Europe, no. 164 (May 14, 2025): 26–32. https://doi.org/10.5281/zenodo.15401264.

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The article is devoted to the issue of modeling gravitational and magnetic anomalies, which is very important in solving the main - geological problem of gravity and magnetic exploration. When solving complex geological and geophysical problems using modern digital methods of processing and interpretation, it is very important to correctly specify the physical and geological model of the geological object under study. In a particular case, a more accurate assessment of the gravitational effects of model geological structures is very important. For this, homogeneous bodies of regular shape are
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42

McIver, M. "Global relationships between two-dimensional water wave potentials." Journal of Fluid Mechanics 312 (April 10, 1996): 299–309. http://dx.doi.org/10.1017/s0022112096002017.

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When a body interacts with small-amplitude surface waves in an ideal fluid, the resulting velocity potential may be split into a part due to the scattering of waves by the fixed body and a part due to the radiation of waves by the moving body into otherwise calm water. A formula is derived which expresses the two-dimensional scattering potential in terms of the heave and sway radiation potentials at all points in the fluid. This result generalizes known reciprocity relations which express quantities such as the exciting forces in terms of the amplitudes of the radiated waves. To illustrate the
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43

Zhao, R., and O. Faltinsen. "Water entry of two-dimensional bodies." Journal of Fluid Mechanics 246 (January 1993): 593–612. http://dx.doi.org/10.1017/s002211209300028x.

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A numerical method for studying water entry of a two-dimensional body of arbitrary cross-section is presented. It is a nonlinear boundary element method with a jet flow approximation. The method has been verified by comparisons with new similarity solution results for wedges with deadrise angles varying from 4° to 81°. A simple asymptotic solution for small deadrise angles α based on Wagner (1932) agrees with the similarity solution for small α.
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44

Grosenbaugh, Mark A., and Ronald W. Yeung. "Flow Structure Near the Bow of a Two-Dimensional Body." Journal of Ship Research 33, no. 04 (1989): 269–83. http://dx.doi.org/10.5957/jsr.1989.33.4.269.

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Flow near a blunt ship's bow is experimentally investigated by studying the flow in front of horizontal, surface-piercing cylinders. A bore-like structure develops at the bow of a cylinder when it is immersed in a uniform stream. Observations indicate that the leading edge of this bow wave coincides with a point at which the main flow separates from the free surface. Experimental measurements of the location of the wavefront and the slope of the free surface at the wavefront are in fair agreement with existing theoretical predictions. Power spectra of the time records of the bow-wave elevation
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45

Tuling, S., L. Dala, and C. Toomer. "Two-Dimensional Potential Method Simulations of a Body–Strake Configuration." Journal of Spacecraft and Rockets 51, no. 2 (2014): 468–77. http://dx.doi.org/10.2514/1.a32565.

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46

Elangovan, R., and H. V. Cao. "Dusty supersonic viscous flow over a two-dimensional blunt body." Journal of Thermophysics and Heat Transfer 4, no. 4 (1990): 529–33. http://dx.doi.org/10.2514/3.218.

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47

Kaloerov, Stefan Alekseevich, Anna Ivanovna Baeva, and Yu A. Glushchenko. "Two-Dimensional Electroelastic Problem for a Multiply Connected Piezoelectric Body." International Applied Mechanics 39, no. 1 (2003): 77–84. http://dx.doi.org/10.1023/a:1023620217690.

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48

Isobe, T. "Approach for estimating fetal body weight using two-dimensional ultrasound." Journal of Maternal-Fetal & Neonatal Medicine 15, no. 4 (2004): 225–31. http://dx.doi.org/10.1080/14767050410001668680.

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49

Lin, Ming-Chung, and Li-Der Shieh. "Simultaneous measurements of water impact on a two-dimensional body." Fluid Dynamics Research 19, no. 3 (1997): 125–48. http://dx.doi.org/10.1016/s0169-5983(96)00033-0.

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50

ANTONIA, R. A., T. ZHOU, and G. P. ROMANO. "Small-scale turbulence characteristics of two-dimensional bluff body wakes." Journal of Fluid Mechanics 459 (May 25, 2002): 67–92. http://dx.doi.org/10.1017/s0022112002007942.

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Measurements have been made in nominally two-dimensional turbulent wakes generated by five different bluff bodies. Each wake has a different level of large-scale organization which is reflected in different amounts of large-scale anisotropy. Structure functions of streamwise (u) and lateral (v) velocity fluctuations at approximately the same value of Rλ, the Taylor microscale Reynolds number, indicate that inertial-range scales are significantly affected by the large-scale anisotropy. The effect is greater on v than u and more pronounced for the porous-body wakes than the solid-body wakes. In
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