GENERALIZED

作品数：2337被引量：3277H指数：20
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ON GENERALIZED KISSING NUMBERS OF CONVEX BODIES
《Acta Mathematica Scientia》2025年第1期72-95,共24页Yiming LI Chuanming ZONG 
supported by the National Natural Science Foundation of China(12226006,11921001);the Natural Key Research and Development Program of China(2018YFA0704701).
In 1694,Gregory and Newton proposed the problem to determine the kissing number of a rigid material ball.This problem and its higher dimensional generalization have been studied by many mathematicians,including Minkow...
关键词：convex body generalized kissing number Eg lattice 
VALUE DISTRIBUTION PROPERTIES FOR GAUSS MAPS OF IMMERSED HARMONIC SURFACES RAMIFIED OVER HYPERSURFACES
《Acta Mathematica Scientia》2024年第6期2341-2360,共20页Canhui LU Xingdi CHEN 
supported by the NFSC(11971182,12271189);the NFS of Fujian Province of China(2019J01066,2021J01304)。
In this paper,we study the value distribution properties of the generalized Gauss maps of weakly complete harmonic surfaces immersed in R^(m),which is the case where the generalized Gauss mapΦis ramified over a famil...
关键词：immersed harmonic surface generalized Gauss map HYPERSURFACE RAMIFICATION quasiconformal mapping Gauss curvature 
BOUNDARY VALUE PROBLEMS OF CONJUGATE AND GENERALIZED K-HOLOMORPHIC FUNCTIONS IN C^(2)
《Acta Mathematica Scientia》2024年第5期1837-1852,共16页Yanyan CUI Chaojun WANG Yonghong XIE Yuying QIAO 
supported by the NSF of Henan Province(222300420397,242300421394);Xie’s research was supported by the NSFC(11571089,11871191).
In this paper,conjugate k-holomorphic functions and generalized k-holomorphic functions are defined in the two-dimensional complex space,and the corresponding Riemann boundary value problems and the inverse problems a...
关键词：several complex variables k-holomorphic functions partial difference equations polyanalytic functions 
A GENERALIZED SCALAR AUXILIARY VARIABLE METHOD FOR THE TIME-DEPENDENT GINZBURG-LANDAU EQUATIONS
《Acta Mathematica Scientia》2024年第2期650-670,共21页司智勇 
supported by the National Natural Science Foundation of China(12126318,12126302).
This paper develops a generalized scalar auxiliary variable(SAV)method for the time-dependent Ginzburg-Landau equations.The backward Euler method is used for discretizing the temporal derivative of the time-dependent ...
关键词：time-dependent Ginzburg-Landau equation generalized scalar auxiliary variable algorithm maximum bound principle energy stability 
THE HAUSDORFF DIMENSION OF THE SPECTRUM OF A CLASS OF GENERALIZED THUE-MORSE HAMILTONIANS
《Acta Mathematica Scientia》2023年第5期1997-2004,共8页刘庆晖 唐志毅 
supported by the National Natural ScienceFoundation of China(11871098)。
Letτbe a generalized Thue-Morse substitution on a two-letter alphabet{a,b}:τ(a)=ambm,τ(b)=bmam for the integer m≥2.Letξbe a sequence in{a,b}Z that is generated byτ.We study the one-dimensional Schr?dinger operat...
关键词：one-dimensional Schrodinger operator generalized Thue-Morse sequence Hausdorff dimension 
GLOBAL CLASSICAL SOLUTIONS AND THE CLASSICAL LIMIT OF THE NON-RELATIVISTIC VLASOV-DARWIN SYSTEM WITH SMALL INITIAL DATA
《Acta Mathematica Scientia》2023年第5期2043-2060,共18页麻雅娴 张显文 
supported by the National Natural ScienceFoundation of China(11871024);the Fundamental Research Program of Shanxi Province(202103021223182)。
We investigate the global classical solutions of the non-relativistic Vlasov-D arwin system with generalized variables(VDG)in three dimensions.We first prove the global existence and uniqueness for small initial data ...
关键词：Vlasov-Darwin system generalized variables global classical solution classical limit 
TIME PERIODIC SOLUTIONS TO THE EVOLUTIONARY OSEEN MODEL FOR A GENERALIZED NEWTONIAN INCOMPRESSIBLE FLUID
《Acta Mathematica Scientia》2023年第4期1645-1667,共23页岑金夏 Stanislaw MIGóRSKI Emilio VILCHES 曾生达 
the NSF of Guangxi(2021GXNSFFA196004,GKAD23026237);the NNSF of China(12001478);the China Postdoctoral Science Foundation(2022M721560);the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH;the National Science Center of Poland under Preludium Project(2017/25/N/ST1/00611);the Startup Project of Doctor Scientific Research of Yulin Normal University(G2020ZK07);the Ministry of Science and Higher Education of Republic of Poland(4004/GGPJII/H2020/2018/0,440328/Pn H2/2019)。
In this paper we study a nonstationary Oseen model for a generalized Newtonian incompressible fluid with a time periodic condition and a multivalued,nonmonotone friction law.First,a variational formulation of the mode...
关键词：nonstationary Oseen model Newtonian incompressible fluid hemivariational inequality periodic solution generalized subgradient 
A LARGE DEVIATION PRINCIPLE FOR THE STOCHASTIC GENERALIZED GINZBURG-LANDAU EQUATION DRIVEN BY JUMP NOISE
《Acta Mathematica Scientia》2023年第2期505-530,共26页王冉 张贝贝 
partially supported by the National Natural Science Foundation of China(11871382,12071361);partially supported by the National Natural Science Foundation of China(11971361,11731012)。
In this paper,we establish a large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise.The main difficulties come from the highly non-linear coefficient and the jump noise....
关键词：large deviation principle weak convergence method stochastic generalized Ginzburg-Landau equation Poisson random measure 
REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES
《Acta Mathematica Scientia》2023年第2期655-667,共13页曹广福 何莉 张艺渊 
supported by the NNSF of China(12071155);supported by the NNSF of China(11871170);the open project of Key Laboratory,school of Mathematical Sciences,Chongqing Normal University(CSSXKFKTM202002);supported by the Innovation Research for the Postgraduates of Guangzhou University(2020GDJC-D08)。
In this paper,we characterize reverse Carleson measures for a class of generalized Fock spaces F^(p)_(φ),with 0
关键词：reverse Carleson measures invertible Toeplitz operators generalized Fock spaces 
MOLECULES AND NEW INTERACTIONAL STRUCTURES FOR A(2+1)-DIMENSIONAL GENERALIZED KONOPELCHENKO-DUBROVSKY-KAUP-KUPERSHMIDT EQUATION被引量：1
《Acta Mathematica Scientia》2023年第1期80-96,共17页李岩 姚若侠 夏亚荣 
Supported by the National Natural Science Foundation of China(12001424);the Natural Science Basic Research Program of Shaanxi Province(2021JZ-21);the Fundamental Research Funds for the Central Universities(2020CBLY013)。
Soliton molecules(SMs)of the(2+1)-dimensional generalized KonopelchenkoDubrovsky-Kaup-Kupershmidt(gKDKK)equation are found by utilizing a velocity resonance ansatz to N-soliton solutions,which can transform to asymmet...
关键词：(2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation soliton molecules velocity resonance nonelastic interaction 
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