DERIVATION

作品数：425被引量：542H指数：9
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相关机构：韶关学院哈佛大学复旦大学南京理工大学更多>>
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ON THE RIGOROUS MATHEMATICAL DERIVATION FOR THE VISCOUS PRIMITIVE EQUATIONS WITH DENSITY STRATIFICATION
《Acta Mathematica Scientia》2023年第3期1081-1104,共24页蒲学科 周文利 
Pu was supported in part by the NNSF of China(11871172);the Science and Technology Projects in Guangzhou (202201020132);Zhou was supported by the Innovation Research for the Postgraduates of Guangzhou University (2021GDJC-D09)。
In this paper, we rigorously derive the governing equations describing the motion of a stable stratified fluid, from the mathematical point of view. In particular, we prove that the scaled Boussinesq equations strongl...
关键词：Boussinesq equations primitive equations density stratification hydrostatic approximation strong convergence 
ADDITIVE MAPS ON SOME OPERATOR ALGEBRAS BEHAVING LIKE(α, β)-DERIVATIONS OR GENERALIZED(α, β)-DERIVATIONS AT ZERO-PRODUCT ELEMENTS被引量：2
《Acta Mathematica Scientia》2014年第4期1287-1300,共14页Hoger GHAHRAMANI 
Let A be a subalgebra of B（X） containing the identity operator I and an idempotent P. Suppose that α,β： A →A are ring epimorphisms and there exists some nest N on 2（ such that α（P）（X） and β（P）（X） are ...
关键词：operator algebra nest algebra （α β）-derivation generalized （α β）-derivation 
SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS
《Acta Mathematica Scientia》2014年第2期313-330,共18页张庆成 魏竹 褚颖娜 张永平 
supported by the NSFC(10871057);NSFJL(20130101068JC);supported by Fundamental Research Funds for the Central Universities of China and SRFHLJED(12521157)
In this article, we discuss some properties of a supersymmetric invariant bilinear form on Lie supertriple systems. In particular, a supersymmetric invariant bilinear form on Lie supertriple systems can be extended to...
关键词：Supersymmetric invariant bilinear form Lie supertriple system central extension AUTOMORPHISM DERIVATION 
TOWERS OF DERIVATION FOR LIE RINGS AND SOME RESULTS ON COMPLETE LIE RINGS
《Acta Mathematica Scientia》2010年第5期1769-1775,共7页瘳军 郑大彬 刘合国 
supported in part by NSFC (10371032);Doctoral Foundation of Ministry of Education(20050512002);Youth Foundation of Tianyuan(10726020);Youth Foundation of Hubei Provincial Department of Education(Q20081008)
The well-known tower theorem of groups （resp. Lie algebras） shows that the tower of automorphism groups （resp. derivation algebras） of a finite group （resp. a finite dimensional Lie algebra） with trivial center ...
关键词：Lie rings derivation towers complete Lie rings 
A RIGOROUS DERIVATION OF THE GROSS-PITAEVSKII HIERARCHY FOR WEAKLY COUPLED TWO-DIMENSIONAL BOSONS
《Acta Mathematica Scientia》2010年第3期841-856,共16页刘创业 
supported by NSFC (10571176)
In this article, we consider the dynamics of N two-dimensional boson systems interacting through a pair potential N-1Va（xi -xj） where Va（x） = a^-2V（x/a）. It is well known that the Cross-Pitaevskii （GP） equatio...
关键词：Cross-Pitaevskii equation Boson system density matrix BBGKY hierarchy 
DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA被引量：5
《Acta Mathematica Scientia》2008年第4期933-948,共16页张庆成 张永正 
National Natural Science Foundation of China(10271076)
In this article,the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer（L）and central extension H^2（L,F）on some ...
关键词：DERIVATION central extension double extension quadratic Lie color algebra 
SOME RESULTS OF MODULAR LIE SUPERALGEBRAS被引量：2
《Acta Mathematica Scientia》2006年第3期401-409,共9页陈良云 孟道骥 
Supported by Youth Science Foundation of Northeast Normal University (111494027) National Natural Science Foundation of China (10271076)
In the present article, the authors give some properties on subinvariant subalgebras of modular Lie superalgebras and obtain the derivation tower theorem of modular Lie superalgebras, which is analogous to the automor...
关键词：modular Lie superalgebras complete Lie superalgebras indecomposable Lie superalgebras subinvariant subalgebras the derivation tower 
LINEAR *-DERIVATIONS ON JB*-ALGEBRAS
《Acta Mathematica Scientia》2005年第3期449-454,共6页Park Chun-Gil 
Supported by Korea Research Foundation (KRF-2004-041-C00023).
It is shown that for a derivation on a JB* -algebra B, there exists a unique C-linear *-derivation D:B→B near the derivation.
关键词：linear *-derivation JB*-algebra functional equation STABILITY 
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