this paper,we base our analysis on the assumption that the existence of a photon sphere is an intrinsic characteristic of any ultra-compact gravitational structure with spherical symmetry.Utilizing the concept of a to...
supported by Science Fund for Creative Research Groups of the National Natural Science Foundation of China(Grant No.42121001);Major Program of National Natural Science Foundation of China(Grant No.41590840).
The Anthropocene era is characterized by the escalating impact of human activities on the environment,as well as the increasingly complex interactions among various components of the Earth system.These factors greatly...
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 Lie sphere geometry.The emphasis is on results that relate Dupin h...
The study of asymptotically hyperbolic Einstein metric is a rich field in theoretical physics and geometry.Pedersen introduced a family of examples for the dimension 4,and we look in this paper into the sign of some o...
supported by the National Natural Science Foundation of China(Nos.12225102,12050002,12288101,12301555);the National Key R&D Program of China(No.2021YFF1200500);the Taishan Scholars Program of Shandong Province。
The authors prove error estimates for the semi-implicit numerical scheme of sphere-constrained high-index saddle dynamics,which serves as a powerful instrument in finding saddle points and constructing the solution la...
The paper is devoted to a spherically symmetric problem of General Relativity (GR) for an elastic solid sphere. Originally developed to describe gravitation in continuum (vacuum, gas, fluid and solid) GR does not prov...
supported by the National Natural Science Foundation of China(Grant Nos.12102174 and 12232011);the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures(Nanjing University of Aeronautics and astronautics)(Grant No.MCMS-I-0122K01).
This paper presents a disturbance observer-based linear quadratic Gaussian(LQG)control strategy to stabilize the flexible spacecraft considering the vibration suppression of flexible appendages using an orthogonal clu...
The Geometric Algebra formalism opens the door to developing a theory replacing conventional quantum mechanics. Generalizations, stemming from changing of complex numbers by geometrically feasible objects in three dim...
The n-body instability is investigated with the soft-sphere discrete element method.The divergence of nearby trajectories is quantifed by the dynamical memory time.Using the inverse proportionality between the dynamic...