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  1. Classifications of Dupin hypersurfaces in Lie sphere geometry

    This is a survey of local and global classification results concerning Dupin hypersurfaces in S n (or R n ) that have been obtained in the context of...

    Thomas E. Cecil in Acta Mathematica Scientia
    Article 29 November 2023
  2. Singularities of Flat Dual Surfaces of Cuspidal Edges in the Three-Sphere from Duality Viewpoint

    We focus on investigating the differential geometric properties of cuspidal edge in the three-sphere from a viewpoint of duality. Using Legendrian...

    Haibo Yu, Liang Chen, Yong Wang in Mediterranean Journal of Mathematics
    Article 27 April 2024
  3. Impact of Couple Stresses on Slow Rotation of a Slip Sphere: Brinkman’s Medium

    The impact of couple stresses on the rotation of solid sphere in Brinkman’s model with slip influence is analytically solved. The tangential slip and...

    Article 22 May 2024
  4. Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid

    Affine transformations in Euclidean space generate a correspondence between integrable systems on cotangent bundles to a sphere, ellipsoid and...

    Andrey V. Tsiganov in Regular and Chaotic Dynamics
    Article 31 July 2023
  5. Rigidity and deformation of generalized sphere packings on 3-dimensional manifolds with boundary

    Motivated by Guo–Luo’s generalized circle packings on surfaces with boundary (Guo–Luo in Geom Topol 13(3):1265–1312, 2009), we introduce the...

    Article 23 September 2023
  6. Thermal stresses in an orthotropic hollow sphere under thermal shock: a unified generalized thermoelasticity

    This paper deals with the thermoelasticity problem in an orthotropic hollow sphere. A unified governing equation is derived which includes the...

    Mehdi Soroush, Mohammad Soroush in Journal of Engineering Mathematics
    Article 19 March 2024
  7. Gradient projection method on the sphere, complementarity problems and copositivity

    By using a constant step-size, the convergence analysis of the gradient projection method on the sphere is presented for a closed spherically convex...

    Orizon Pereira Ferreira, Yingchao Gao, ... Petra Renáta Rigó in Journal of Global Optimization
    Article Open access 16 April 2024
  8. Generalised Wendland functions for the sphere

    In this paper, we compute the spherical Fourier expansion coefficients for the restriction of the generalised Wendland functions from d -dimensional...

    Simon Hubbert, Janin Jäger in Advances in Computational Mathematics
    Article Open access 10 January 2023
  9. Mathematical Model of Flow Past a Sphere with Modified Boundary Slip Condition

    Abstract

    The problem of a slow Stokes flow past a sphere with modified slip condition on its surface is solved. The new boundary condition on the...

    V. F. Sharafutdinov, S. K. Zaripov, ... A. K. Gilfanov in Lobachevskii Journal of Mathematics
    Article 01 July 2023
  10. Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics

    The authors prove error estimates for the semi-implicit numerical scheme of sphere-constrained high-index saddle dynamics, which serves as a powerful...

    Lei Zhang, **wen Zhang, **angcheng Zheng in Chinese Annals of Mathematics, Series B
    Article 01 September 2023
  11. A DCA-Newton method for quartic minimization over the sphere

    In this paper, a method for quartic minimization over the sphere is studied. It is based on an equivalent difference of convex (DC) reformulation of...

    Shenglong Hu, Yong Wang, **ling Zhou in Advances in Computational Mathematics
    Article 10 July 2023
  12. Minimal Legendrian surfaces in the tangent sphere bundle of ℝ3

    In this paper, we study minimal Legendrian surfaces Σ immersed in the tangent sphere bundle T 1 3 . We classify (1) totally geodesic Legendrian...

    Mingyan Li, Guofang Wang in Science China Mathematics
    Article 12 June 2024
  13. Asymptotic Solutions to the Hartree Equation Near a Sphere. Asymptotics of Self-Consistent Potentials

    We consider the eigenvalue problem for the Hartree operator with a small nonlinearity coefficient. We find asymptotic eigenvalues and asymptotic...

    A. V. Pereskokov in Journal of Mathematical Sciences
    Article 23 October 2023
  14. Interpolation on the cubed sphere with spherical harmonics

    We consider Lagrange interpolation with Spherical Harmonics of data located at the equiangular Cubed Sphere nodes. An approach based on a suitable...

    Jean-Baptiste Bellet, Matthieu Brachet, Jean-Pierre Croisille in Numerische Mathematik
    Article 28 December 2022
  15. A Reliable Iteration Algorithm for One-Bit Compressive Sensing on the Unit Sphere

    The one-bit compressed sensing problem is of fundamental importance in many areas, such as wireless communication, statistics, and so on. However,...

    Yan-cheng Lu, Ning Bi, An-hua Wan in Acta Mathematicae Applicatae Sinica, English Series
    Article 19 April 2024
  16. Turing pattern formation on the sphere is robust to the removal of a hole

    The formation of buds on the cell membrane of budding yeast cells is thought to be driven by reactions and diffusion involving the protein Cdc42....

    Johannes G. Borgqvist, Philip Gerlee, Carl Lundholm in Journal of Mathematical Biology
    Article Open access 31 January 2024
  17. A Survey on Lagrangian Submanifolds of Nearly Kaehler Six-Sphere

    We first review the nearly Kaehler structure on the six-dimensional unit sphere...
    Chapter 2024
  18. Free Convection of a Radiating MHD Nanofluid Past a Solid Sphere with Energy Transfer in a Porous Medium

    An attempt has been made to investigate the hydromagnetic free convection of nanofluid in the vicinity of the lower deflation tip of a sphere which...

    Debasish Dey, Rupjyoti Borah, O. D. Makinde in International Journal of Applied and Computational Mathematics
    Article 14 November 2023
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