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CHARACTERIZATIONS OF BALLS AND ELLIPSOIDS BY INFINITESIMAL HOMOTHETIC CONDITIONS: 《Acta Mathematica Scientia》2025年第1期280-290,共11页M.Angeles ALFONSECA Dmitry RYABOGIN Alina STANCU Vladyslav YASKIN; We prove that for a smooth convex body K⊂ℝ^(d),d≥2,with positive Gauss curvature,its homothety with a certain associated convex body implies that K is either a ball or an ellipsoid,depending on the associated body co...; 关键词：Busemann-Petty problem convex bodies dual mixed volumes floating body surface of centers

Influence of aspect ratio and arrangement direction on the shear behavior of ellipsoids被引量：1: 《Particuology》2022年第11期82-94,共13页Weichen Sun Kai Wu Songyu Liu Xiang Zhang; We gratefully acknowledge the financial supports provided by National Natural Science Foundation ofChina(grant No.51608112);the National Key Research and Development Program of China(grant No.2016YFC0800201);the Fundamental Research Funds for the Central Universities(grant No.3221002101C3);Project of Jiangsu Province Transportation Engineering Construction Bureau(grant No.CX-2019GC02).; This work studies the macroscopic and microscopic behaviors of ellipsoids under triaxial tests using 3D discrete element method(DEM)simulation.To avoid the boundary effect,a novel stress servo-controlled periodic boun...; 关键词：DEM SHEAR ELLIPSOID Periodic boundary condition Arrangement direction Aspect ratio

On limit behavior of quasi-local mass for ellipsoids at spatial infinity: 《Communications in Theoretical Physics》2020年第1期102-110,共9页Xiaokai He Leong-Fai Wong Naqing Xie; partially supported by the Natural Science Foundation of Hunan Province(Grant 2018JJ2073);partially supported by the National Natural Science Foundation of China(Grant 11671089).; We discuss the spatial limit of the quasi-local mass for certain ellipsoids in an asymptotically flat static spherically symmetric spacetime.These ellipsoids are not nearly round but they are of interest as an admissi...; 关键词：quasi-local MASS asymptotically flat LIMIT BEHAVIOR

CFD-DEM modelling of mixing and segregation of binary mixtures of ellipsoidal particles in liquid fluidizations被引量：5: 《Journal of Hydrodynamics》2019年第6期1190-1203,共14页Esmaeil Abbaszadeh Molaei Aibing Yu Zongyan Zhou; Solid-liquid fluidized beds of binary mixtures are widely used in many industries.Particle segregation may occur as particles can differ in size,density,or shape.Extensive studies have been conducted in the past to un...; 关键词：MIXING SEGREGATION binary mixture ELLIPSOIDS liquid fluidization CFD-DEM

Discrete element simulation of cylindrical particles using super-ellipsoids被引量：15: 《Particuology》2019年第5期55-66,共12页Yongzhi Zhao Lei Xu Paul B. Umbanhowar Richard M. Lueptow; the China Scholarship Council and the National Natural Science Foundation of China (NSFC, Grant No. 51741608);thanks Austin Isner for help with data processing. The authors thank Guillaume Adoneth and Quentin Mougeot for acquiring experimental data on the seg-regation of cylindrical particles in a quasi-2D bounded heap.; A discrete element model based on super-ellipsoids was used to simulate cylindrical particle flow. The model can describe a cylindrical particle accurately provided the shape indices of the super-ellipsoids are set to...; 关键词：Discrete element method Super-ellipsoid Super-quadric Cylindrical PARTICLE NON-SPHERICAL PARTICLE GRANULAR material

THE SCHWARZ LEMMA AT THE BOUNDARY OF THE NON-CONVEX COMPLEX ELLIPSOIDS被引量：2: 《Acta Mathematica Scientia》2019年第4期915-926,共12页Le HE Zhenhan TU; The project supported in part by the National Natural Science Foundation of China(11671306); Let B2,p:= {z ∈ C2: |z1|2+ |z2|p< 1}（0 < p < 1）. Then, B2,p（0 < p < 1） is a non-convex complex ellipsoid in C2 without smooth boundary. In this article, we establish a boundary Schwarz lemma at z0 ∈ ?B2,p for ho...; 关键词：BOUNDARY SCHWARZ lemma HOLOMORPHIC mappings Kobayashi metric NONCONVEX COMPLEX ELLIPSOIDS

Dramatic change of the self-diffusions of colloidal ellipsoids by hydrodynamic interactions in narrow channels: 《Chinese Physics B》2019年第7期293-298,共6页Han-Hai Li Zhong-Yu Zheng Tian Xie Yu-Ren Wang; Project supported by the National Natural Science Foundation of China(Grants Nos.U1738118 and 11372314);the Strategic Priority Research Program on Space Science,the Chinese Academy of Sciences(A)(Grant Nos.XDA04020202 and XDA04020406);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB22040301); The self-diffusion problem of Brownian particles under the constraint of quasi-one-dimensional(q1 D) channel has raised wide concern.The hydrodynamic interaction(HI) plays an important role in many practical problems ...; 关键词：HYDRODYNAMIC interaction SELF-DIFFUSION ELLIPSOIDS channel

Effect of aspect ratio on triaxial compression of multi-sphere ellipsoid assemblies simulated using a discrete element method被引量：18: 《Particuology》2017年第3期49-62,共14页Jian Gong Jun Liu; This research was supported by the National Natural Science Foundation of China （51479027, 51539008）.; Here, we present a numerical investigation of the mechanical behavior of ellipsoids under triaxial com- pression for a range of aspect ratios. Our simulations use a multi-sphere approach in a three-dimensional discret...; 关键词：EllipsoidsAspect ratio DEM Triaxial compression Particle shape Macro-micro response

Effect of Resonance on the Motion of Two Cylindrical Rigid Bodies: 《International Journal of Astronomy and Astrophysics》2016年第4期555-574,共20页M. R. Hassan Baby Kumari Md. Aminul Hassan Payal Singh B. K. Sharma; The effect of resonance on the motion of two cylindrical rigid bodies has been studied in the light of Bhatnagar [1] [2] [3] and under some defined axiomatic restrictions. Here we have calculated variation in Eulerian...; 关键词：Inertia Ellipsoid Ellipsoids of Revolution Symmetrical Bodies Orientation of the Bodies Principal Axes Eulerian Angles Critical Points Perturbations Averaging of Hamiltonian RESONANCE

On Ellipsoids Attached to Root Systems: 《Journal of Applied Mathematics and Physics》2016年第8期1513-1521,共9页Anatoli Loutsiouk; For any finite-dimensional complex semisimple Lie algebra, two ellipsoids (primary and secondary) are considered. The equations of these ellipsoids are Diophantine equations, and the Weyl group acts on the sets of all...; 关键词：Complex Semisimple Lie Algebra Cartan Subalgebra Weyl Group Cartan Matrix Primary and Secondary Ellipsoids Diophantine Equations Geometric Realizations Coxeter Relations Dynkin Diagram Chevalley-Bruhat Ordering Reduced Expressions

ELLIPSOIDS