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ASYMPTOTICS: 作品数：118被引量：80H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘伟许增福傅可昂更多>>; 相关机构：江苏师范大学浙江工商大学安徽大学更多>>; 相关期刊：《Science China Mathematics》《Journal of Partial Differential Equations》《Chinese Physics Letters》《Acta Mathematicae Applicatae Sinica》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划美国国家科学基金国家社会科学基金更多>>

A Singular Limit in a Non-Local Reaction-Diffusion Equation in Periodic Media: 《Journal of Applied Mathematics and Physics》2024年第12期4057-4076,共20页Yu Wei; In this paper, we provide an asymptotic analysis of a nonlocal reaction-diffusion equation and with a non-local stable operator of order α∈(0,1). Firstly, we prove the existence and uniqueness of positive and bounde...; 关键词：Nonlocal Fractional Operator Exponential Speed of Propagation ASYMPTOTICS

Existence and asymptotics of normalized solutions for the logarithmic Schrödinger system: 《Science China Mathematics》2024年第9期2019-2048,共30页Qian Zhang Wenming Zou; This paper is concerned with the following logarithmic Schrodinger system:{-Δu_(1)+ω_(1)u_(1)=u_(1)u_(1)logu_(1)^(2)+2p/p+q|u_(2)|^(q)|u_(1)|^(p-2)u_(1),-Δu_(2)+ω_(2)u_(2)=u_(2)u_(2)log u_(2)^(2)+2q/p+q|u_(1)|^(p)...; 关键词：logarithmic Schrodinger system Brézis-Nirenberg problem normalized solution existence and stability behavior of solutions

Multiple Soliton Asymptotics in a Spin-1 Bose–Einstein Condensate: 《Chinese Physics Letters》2024年第9期15-22,共8页Zhong-Zhou Lan; work was supported by the National Natural Science Foundation of China(Grant No.12161061);the Fundamental Research Funds for the Inner Mongolia University of Finance and Economics(Grant No.NCYWT23036);the Young innovative and Entrepreneurial Talents of the Inner Mongolia Grassland Talents Project in 2022,Autonomous Region“Five Ma-jor Tasks"Research Special Project for the Inner Mongo-lia University of Finance and Economics in 2024(Grant No.NCXWD2422);High Quality Research Achievement Cultivation Fund for the Inner Mongolia University of Fi-nance and Economics in 2024(Grant No.GZCG2426);the Talent Development Fund of Inner Mongolia.; Spinor Bose–Einstein condensates(BECs)are formed when atoms in the multi-component BECs possess single hyperfine spin states but retain internal spin degrees of freedom.This study concentrates on a(1+1)-dimensional t...; 关键词：SOLITON SOLITONS ASYMPTOTIC

Asymptotics for the joint tail probability of bidimensional randomly weighted sums with applications to insurance: 《Science China Mathematics》2024年第1期163-186,共24页Yang Yang Shaoying Chen Kam Chuen Yuen; supported by the Humanities and Social Sciences Foundation of the Ministry of Education of China(Grant No.20YJA910006);Natural Science Foundation of Jiangsu Province of China(Grant No.BK20201396);supported by the Postgraduate Research and Practice Innovation Program of Jiangsu Province of China(Grant No.KYCX211939);supported by the Research Grants Council of Hong Kong;China(Grant No.HKU17329216)。; This paper studies the joint tail behavior of two randomly weighted sums∑_(i=1)^(m)Θ_(i)X_(i)and∑_(j=1)^(n)θ_(j)Y_(j)for some m,n∈N∪{∞},in which the primary random variables{X_(i);i∈N}and{Y_(i);i∈N},respectiv...; 关键词：asymptotic joint tail behavior randomly weighted sum heavy-tailed distribution DEPENDENCE insurance risk model

Large Deviation Principle for the Two-dimensional Stochastic Navier-Stokes Equations with Anisotropic Viscosity: 《Acta Mathematicae Applicatae Sinica》2023年第3期511-549,共39页Bing-guang CHEN Xiang-chan ZHU; Research supported in part by NSFC(No.11771037);Key Lab of Random Complex Structures and Data Science,Chinese Academy of Science;Financial the DFG through the CRC 1283“Taming uncertainty and profiting from randomness and low regularity in analysis,stochastics and their applications”。; In this paper we establish the large deviation principle for the the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity both for small noise and for short time.The proof for large deviation ...; 关键词：large deviation principle stochastic Navier-Stokes equations anisotropic viscosity small time asymptotics weak convergence approach

Two-Dimensional Riemann Problems:Transonic Shock Waves and Free Boundary Problems: 《Communications on Applied Mathematics and Computation》2023年第3期1015-1052,共38页Gui-Qiang G.Chen; The research of Gui-Qiang G.Chen was supported in part by the UK Engineering and Physical Sciences Research Council Awards EP/L015811/1,EP/V008854/1,EP/V051121/1;the Royal Society-Wolfson Research Merit Award WM090014.; We are concerned with global solutions of multidimensional(M-D)Riemann problems for nonlinear hyperbolic systems of conservation laws,focusing on their global configurations and structures.We present some recent devel...; 关键词：Riemann problems Two-dimensional(2-D) Transonic shocks Solution structure Free boundary problems Mixed elliptic-hyperbolic type Global configurations Large-time asymptotics Global attractors Multidimensional(M-D) Shock capturing methods

Ordered exponential and its features in Yang-Mills effective action: 《Communications in Theoretical Physics》2023年第8期119-127,共9页A V Ivanov N V Kharuk; supported by the Ministry of Science and Higher Education of the Russian Federation,agreement 07515-2022-289;supported in parts by the Foundation for the Advancement of Theoretical Physics and Mathematics‘BASIS’,grant‘Young Russian Mathematics’。; In this paper,we discuss some non-trivial relations for ordered exponentials on smooth Riemannian manifolds.As an example of application,we study the dependence of the four-dimensional quantum Yang–Mills effective ac...; 关键词：Yang-Mills effective action ordered exponential heat kernel Green's function short-distance asymptotics cutoff regularization Synge's world function

Long Time Asymptotics Behavior of the Focusing Nonlinear Kundu-Eckhaus Equation被引量：2: 《Chinese Annals of Mathematics,Series B》2023年第2期235-264,共30页Ruihong MA Engui FAN; The authors study the Cauchy problem for the focusing nonlinear KunduEckhaus(KE for short)equation and construct the long time asymptotic expansion of its solution in fixed space-time cone with C(x_(1),x_(2),v_(1),v_(...; 关键词：Focusing Kundu-Eckhaus equation Riemann-Hilbert problem δsteepest descent method

ALMOST SURELY TIME-SPACE INTERMITTENCY FOR THE PARABOLIC ANDERSON MODEL WITH A LOG-CORRELATED GAUSSIAN FIELD: 《Acta Mathematica Scientia》2023年第2期608-639,共32页吕阳阳李贺宇; supported by the National Natural Science Foundation of China (12201282);the Institute of Meteorological Big Data-Digital Fujian and the Fujian Key Laboratory of Data Science and Statistics (2020L0705);the Education Department of Fujian Province (JAT200325)。; In this paper, we consider the continuous parabolic Anderson model with a logcorrelated Gaussian field, and obtain the precise quenched long-time asymptotics and spatial asymptotics. To overcome the difficulties arisi...; 关键词：spatial asymptotics quenched long-time asymptotics parabolic Anderson model log-correlated Gaussian field Feynman-Kac formula

Asymptotics of the Solution to a Stationary Piecewise-Smooth Reaction-Diffusion-Advection Equation: 《Chinese Annals of Mathematics,Series B》2023年第1期81-98,共18页Qian YANG Mingkang NI; supported by the National Natural Science Foundation of China (No. 11871217);the Science and Technology Commission of Shanghai Municipality (No. 18dz2271000); A singularly perturbed boundary value problem for a piecewise-smooth nonlinear stationary equation of reaction-diffusion-advection type is studied.A new class of problems in the case when the discontinuous curve which...; 关键词：Reaction-Diffusion-Advection equation Internal layer Asymptotic method Piecewise-Smooth dynamical system

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