云南高校图书馆联盟文献共享服务平台- ANALYTICITY

ANALYTICITY: 作品数：28被引量：18H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：张再云更多>>; 相关机构：湖南理工学院更多>>; 相关期刊：《Applied Mathematics》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金霍英东教育基金王宽诚敎育基金中国博士后科学基金更多>>

THE GLOBAL EXISTENCE AND ANALYTICITY OF A MILD SOLUTION TO THE 3D REGULARIZED MHD EQUATIONS: 《Acta Mathematica Scientia》2024年第3期973-983,共11页肖存涛邱华姚正安; supported by the Opening Project of Guangdong Province Key Laboratory of Cyber-Physical System(20168030301008);supported by the National Natural Science Foundation of China(11126266);the Natural Science Foundation of Guangdong Province(2016A030313390);the Quality Engineering Project of Guangdong Province(SCAU-2021-69);the SCAU Fund for High-level University Building;supported by the National Key Research and Development Program of China(2020YFA0712500);the National Natural Science Foundation of China(11971496,12126609)。; In this paper,we study the three-dimensional regularized MHD equations with fractional Laplacians in the dissipative and diffusive terms.We establish the global existence of mild solutions to this system with small in...; 关键词：regularized MHD equations fractional Laplacian global well-posedness ANALYTICITY decay rate

A Remark about Time-Analyticity of the Linear Landau Equation with Soft Potential: 《Analysis in Theory and Applications》2024年第1期22-37,共16页Chaojiang Xu Yan Xu; supported by the NSFC(No.12031006);the Fundamental Research Funds for the Central Universities of China.; In this note,we study the Cauchy problem of the linear spatially homogeneous Landau equation with soft potentials.We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time va...; 关键词：Spatially homogeneous Landau equation analytic smoothing effect soft potentials

HYDROSTATIC LIMIT OF THE NAVIER-STOKES-ALPHA MODEL: 《Acta Mathematica Scientia》2023年第5期1945-1980,共36页Léo GLANGETAS Van-Sang NGO El Mehdi SAID; In this paper we study the hydrostatic limit of the Navier-Stokes-alpha model in a very thin strip domain.We derive some Prandtl-type limit equations for this model and we prove the global well-posedness of the limit ...; 关键词：Navier-Stokes-αmodel hydrostatic approximation ANALYTICITY

Zero Viscosity-Diffusivity Limit for the Incompressible Boussinesq Equations in Gevrey Class: 《Communications in Mathematical Research》2022年第4期579-604,共26页Feng Cheng; In this paper,we study the zero viscosity-diffusivity limit for the incompressible Boussinesq equations in a periodic domain in the framework of Gevrey class.We first prove that there exists an interval of time,indepe...; 关键词：Gevrey class incompressible Boussinesq equation ANALYTICITY zero viscositydiffusivity limit convergence rate

Global Well-posedness of Generalized Magnetohydrodynamics Equations in Variable Exponent Fourier–Besov–Morrey Spaces被引量：1: 《Acta Mathematica Sinica,English Series》2022年第12期2187-2198,共12页Muhammad Zainul ABIDIN Jie Cheng CHEN; The Research was Supported by Zhejiang Normal University Postdoctoral Research fund under(Grant No.ZC304020909);NSF of China(Grant No.10271437)。; A generalized incompressable magnetohydrodynamics system is considered in this paper.Furthermore, results of global well-posednenss are established with the aid of Littlewood–Paley decomposition and Fourier localizat...; 关键词：Generalized MHD global well-posedness variable exponent Fourier–Besov–Morrey(FBM)space ANALYTICITY

Singularities and accumulation of singularities ofπN scattering amplitudes: 《Communications in Theoretical Physics》2022年第11期136-139,共4页Qu-Zhi Li Han-Qing Zheng; supported in part by National Nature Science Foundations of China under contract numbers 11975028 and 10925522。; It is demonstrated that for the isospin I=1/2πN scattering amplitude,T^(I=1/2)(s,t),s=(m_(N)^(2)-m_(π)^(2))^(2)/m_(N)^(2)and s=m_(N)^(2)+2m_(π)^(2)are two accumulation points of poles on the second sheet of complex...; 关键词：dispersion relations partial wave ANALYTICITY

On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L^(p): 《Chinese Annals of Mathematics,Series B》2022年第5期749-772,共24页Ruilin HU Ping ZHANG; supported by the National Natural Science Foundation of China(Nos.11731007,12031006,11688101);the National Key R&D Program of China(No.2021YFA1000800);K.C.Wong Education Foundation。; Given initial data u0 ∈ L^(p)(R^(3)) for some p in [3,18/5 [,the auhtors first prove that3 D incompressible Navier-Stokes system has a unique solution μ=μL+v with μL=^(def)e^(t△)μ_(0) and ν∈L^(∞)([0,T];H^(5/2...; 关键词：Incompressible Navier-Stokes equations Radius of analyticity Littlewood-Paley theory

TIME ANALYTICITY FOR THE HEAT EQUATION ON GRADIENT SHRINKING RICCI SOLITONS: 《Acta Mathematica Scientia》2022年第4期1690-1700,共11页Jiayong WU; partially supported by the National Natural Science Foundation of China(11671141);the Natural Science Foundation of Shanghai(17ZR1412800)。; On a complete non-compact gradient shrinking Ricci soliton,we prove the analyticity in time for smooth solutions of the heat equation with quadratic exponential growth in the space variable.This growth condition is sh...; 关键词：Gradient shrinking Ricci soliton heat equation time analyticity

A Cluster Expansion Free Method for Computing Higher Derivatives of the Free Energy and Estimating the Error between the Finite and Infinite Volume Free Energy: 《Journal of Applied Mathematics and Physics》2022年第5期1762-1784,共23页Assane Lo; The theory of phase transitions is one of the branches of statistical physics in which smoothness and continuity play an important role. In fact, phase transitions are characterized mathematically by the degree of non...; 关键词：Witten Laplacians ANALYTICITY Free Energy Kac-Models

On the Absence of Zeros of Riemann Zeta-Function Out of ℜ(z) = 1/2被引量：1: 《Advances in Pure Mathematics》2022年第3期178-185,共8页Jorge Julián Sánchez Martínez; This work shows, after a brief introduction to Riemann zeta function , the demonstration that all non-trivial zeros of this function lies on the so-called “critical line”,, the one Hardy demonstrated in his famous w...; 关键词：Riemann Zeta Function ANALYTICITY Weierstrass-Hadamard Product REPRESENTATION

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