检索结果-南通市图书馆

Global existence and large-time behavior for primitive equations with the free boundary

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2024年第10期67卷 2303-2330页

作者： Hai-Liang Li Chuangchuang Liang School of mathematical sciences Capital Normal UniversityBeijing 100048China Academy for Multidisciplinary Studies Capital Normal UniversityBeijing 100048China college of Mathematics and Statistics Chongqing UniversityChongqing 401331China

In the present paper, the primitive equations, which can be used to simulate the large-scale motion of the ocean and atmosphere, are considered in the three-dimensional domain bounded below by a fixed solid boundary and above by a free-moving boundary. The global existence and uniqueness of strong solutions are established, and the long-time convergence to the equilibrium state is shown to be either at an exponential rate for the horizontal periodic domain or at an algebraic rate for the horizontal whole space.

关键词： primitive equations the free boundary value problem global well-posedness large-time behavior

同方期刊数据库

On the inviscid limit of the compressible Navier-Stokes equations near Onsager's regularity in bounded domains

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2024年第1期67卷 1-22页

作者： Robin Ming Chen Zhilei Liang Dehua Wang Runzhang Xu Department of Mathematics University of PittsburghPittsburghPA 15260USA School of Mathematics Southwestern University of Finance and EconomicsChengdu 611130China college of mathematical sciences Harbin Engineering UniversityHarbin 150001China

The viscous dissipation limit of weak solutions is considered for the Navier-Stokes equations of compressible isentropic flows confined in a bounded *** establish a Kato-type criterion for the validity of the inviscid limit for the weak solutions of the Navier-Stokes equations in a function space with the regularity index close to Onsager’s critical *** particular,we prove that under such a regularity assumption,if the viscous energy dissipation rate vanishes in a boundary layer of thickness in the order of the viscosity,then the weak solutions of the Navier-Stokes equations converge to a weak admissible solution of the Euler *** approach is based on the commutator estimates and a subtle foliation technique near the boundary of the domain.

关键词： inviscid limit Navier-Stokes equations Euler equations weak solutions bounded domain Katotype criterion Onsager’s regularity

On the existence and stability of traversable wormhole solutions with novel shapefunctions in the framework of F(R,L_(m))gravity

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2024年第5期76卷 114-127页

作者： Sourav Chaudhary Jitendra Kumar S K Maurya Sweeti Kiroriwal Abdul Aziz Department of Mathematics Central University of HaryanaJant-PaliMahendergarhIndia Department of mathematical and Physical sciences College of Arts and ScienceUniversity of NizwaP.O.Box 33Nizwa 616Oman

In this work,we have explored wormhole(WH)solutions in F(R,L_(m))gravity by assuming the Morris-Thorne WH metric and F(R,Lm)=R/2+(1+γR)L_(m),whereγis the free model *** determined the WH solutions by utilizing two newly developed shape functions(SF)that satisfy all basic conditions for a WH’s physical *** also observe that the null energy condition(NEC)behaves ***,for both models,we use the volume integral quantifier(VIQ)and Tolman-Oppenheimer-Volkoff(TOV)equation to determine how much exotic matter is needed near the WH throat and the stability of the *** extensive detailed discussions of the matter components have been done via graphical *** obtained WH geometries meet the physically acceptable conditions for a stable wormhole.

关键词： energy conditions wormhole exotic matter F(R L_(m))gravity

A reputation-based blockchain scheme for sustained carbon emission reduction

在线全文

学校读者我要写书评

暂无评论

Science China(Information sciences) 2024年第5期67卷 329-330页

作者： Lixiao ZHOU Changbing TANG Zheng BAO Yang LIU Xinghuo YU college of Physics and Electronics Information Engineering Zhejiang Normal University School of Computer Science and Technology Zhejiang Normal University School of mathematical sciences Zhejiang Normal University School of Engineering RMIT University

Climate change is a global issue that necessitates collective responsibility from all nations. Recently, a blockchainenabled emission trading scheme(ETS) has been proposed for reducing carbon emissions to overcome the drawbacks of centralized methods [1, 2]. However, existing consensus protocols in blockchain have not been well prepared for low energy consumption and high incentive compatibility [3],which is contrary to the low carbon goal of ETS.

关键词：

CAUCHY TYPE INTEGRALS AND A BOUNDARY VALUE PROBLEM IN A COMPLEX CLIFFORD ANALYSIS

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2024年第1期44卷 369-385页

作者：曹南斌李尊凤杨贺菊乔玉英 School of Mathematics and Science Hebei GEO UniversityShijiazhuang050031China college of Science Hebei University of Science and TechnologyShijiazhuang050018China School of mathematical sciences Hebei Normal UniversityShijiazhuang050024China

Clifford analysis is an important branch of modern analysis;it has a very important theoretical significance and application value,and its conclusions can be applied to the Maxwell equation,Yang-Mill field theory,quantum mechanics and value *** this paper,we first give the definition of a quasi-Cauchy type integral in complex Clifford analysis,and get the Plemelj formula for ***,we discuss the H?lder continuity for the Cauchy-type integral operators with values in a complex Clifford ***,we prove the existence of solutions for a class of linear boundary value problems and give the integral representation for the solution.

关键词： Clifford analysis Cauchy type integral Plemelj formula Holder continuous boundary value problems

Multiplicative forms on Poisson groupoids

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2024年

作者： Zhuo Chen Honglei Lang Zhangju Liu Department of mathematical sciences Tsinghua University college of Science China Agricultural University School of Mathematics and Statistics Henan University

First, we prove a decomposition formula for any multiplicative differential form on a Lie groupoid G. Next, we prove that if G is a Poisson Lie groupoid, then the space Ω·mult(G) of multiplicative forms on G has a differential graded Lie algebra(DGLA) structure. Furthermore, when combined with Ω·(M), which is the space of forms on the base manifold M of G, Ω·mult(G) forms a canonical DGLA crossed module. This supplements a previously known fact that multiplicative multi-vector fields on G form a DGLA crossed module with the Schouten algebra Γ(∧·A) stemming from the Lie algebroid A of G.

关键词：

THE LIMITING PROFILE OF SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS WITH A SHRINKING SELF-FOCUSING CORE

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2024年第2期44卷 583-608页

作者：金可石影谢华飞 Zhejiang college Shanghai University of Finance and EconomicsJinhua321013China School of mathematical sciences Zhejiang Normal UniversityJinhua321004China School of Mathematics and Statistics Nanyang Normal UniversityNanyang473061China

In this paper,we consider the semilinear elliptic equation systems{△u+u=αQ_(n)(x)|u|^(α-2)|v|^(β)u in R^(N),-△v+v=βQ(x)|u|^(α)|v|^(β-2)v in R^(N),where N≥3,α,β>1,α+β0} shrink to a set with finitely many points as n→∞.Motivated by the work of Fang and Wang[13],we use variational methods to study the limiting profile of ground state solutions which are concentrated at one point of the set with finitely many points,and we build the localized concentrated bound state solutions for the above equation systems.

关键词： Schrödinger system ground states solutions bound state solutions

Recent advances in vacancy engineering for reliable lithiumsulfur batteries

在线全文

学校读者我要写书评

暂无评论

Rare Metals 2024年第2期43卷 455-477页

作者： Wen-Dong Liu Xiao Tang Jun-An Feng Chao-Yue Zhang Hao Liu Chuan Shi Xiao-Xian Zhao Jian-Jun Song college of Physics School of Chemistry and Chemical EngineeringQingdao UniversityQingdao266071China Faculty of Science Centre for Clean Energy TechnologySchool of Mathematical and Physical SciencesUniversity of Technology SydneySydneyNSW2007Australia Department of Chemistry College of ScienceHebei Agricultural UniversityBaoding071001China

The high-energy-density and low-cost features endow lithium-sulfur batteries with broad application ***,many drawbacks,especially the detrimental shuttle effect,have hindered the further development of *** response,a lot of new structures have been applied to suppress the shuttle effect and promote the development of ***,vacancy engineering has gained the attention of researchers due to its unique electronic *** review aims to analyze the application of vacancy engineering in ***,the electrochemistry of LSBs has been systematically discussed and the existing challenges as well as improvement tactics of LSBs have also been ***,the preparation methods and characterization technologies of various vacancies are summarized,including oxygen vacancies,sulfur vacancies,selenium vacancies,other anion vacancies,cation vacancies,*** latest applications of vacancy engineering in LSBs are also summarized in this ***,some prospects and insights for further investigation and practical application of vacancy engineering in LSBs are put forward.

关键词： Lithium-sulfur batteries(LSBs) Defects Vacancy engineering Electronic structure Shuttle effect

Gorenstein Subcategories and Relative Singularity Categories

在线全文

学校读者我要写书评

暂无评论

Journal of mathematical Research with Applications 2024年第3期44卷 313-324页

作者： Junfu WANG Tiwei ZHAO Changzhou college of Information Technology School of Artificial Intelligence Jianghan University School of mathematical sciences Qufu Normal University

Let A be an abelian category,T a self-orthogonal subcategory of A and each object in T admit finite projective and injective *** the left Gorenstein subcategory l G（T）equals to the right orthogonal class of T and the right Gorenstein subcategory r G（T） equals to the left orthogonal class of T,we prove that the Gorenstein subcategory G（T） equals to the intersection of the left orthogonal class of T and the right orthogonal class of T,and prove that their stable categories are triangle equivalent to the relative singularity category of A with respect to *** applications,let R be a left Noetherian ring with finite left self-injective dimension andRCS a semidualizing bimodule,and let the supremum of the flat dimensions of all injective left R-modules be *** prove that if RC has finite injective （or flat） dimension and the right orthogonal class of C contains R,then there exists a triangle-equivalence between the intersection of C-Gorenstein projective modules and Bass class with respect to C,and the relative singularity category with respect to C-projective *** classical results are generalized.

关键词： abelian category self-orthogonal Gorenstein subcategories semidualizing bimodules