EQUATION

作品数:3372被引量:3710H指数:19
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相关领域:理学更多>>
相关作者:朱晓晴贺振华熊晓军何兵寿李向阳更多>>
相关机构:南京航空航天大学东南大学浙江大学厦门大学更多>>
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Blow up,Growth and Decay of Solutions for Class of a Coupled Nonlinear Viscoelastic Kirchhoff Equations with Variable Exponents and Fractional Boundary Conditions
《Acta Mathematicae Applicatae Sinica》2025年第2期344-374,共31页Abdelbaki CHOUCHA Salah BOULAARAS Djamel OUCHENANE RashidJAN 
We examine a quasilinear system of viscoelastic equations in this study that have fractional boundary conditions,dispersion,source,and variable-exponents.We discovered that the solution of the system is global and con...
关键词:viscoelastic equation blow up nonlinear equations exponential growth general decay variable exponents 
Kazdan-Warner Problems on Compact Riemann Surfaces
《数学进展》2025年第2期424-430,共7页LI Jiayu ZHU Xiaobao 
supported by NSFC(Nos.11721101,12031017)。
Let(M,g)be a compact Riemann surface with unit area,h a smooth function on M.The Kazdan-Warner problem is that under what kind of conditions on h the equationΔu=8π-8πhe^(u) has a solution.In this survey article,we ...
关键词:Kazdan-Warner equation variational method blow-up analysis maximum principle sign-changing function 
New interaction solutions in Mel’nikov equation obtained by modulating the phase shift
《Chinese Physics B》2025年第4期229-236,共8页Mi Chen Zhen Wang 
Project supported by the National Natural Science Foundation of China(Grant Nos.52171251 and U21062251);Program of Science and Technology Innovation of Dalian(Grant No.2022JJ12GX036).
The degradation and nonlinear interactions of a two-breather solution of the Mel’nikov equation are analyzed.By modulating the phase shift and limit method,we prove that in different regions near the non-singular bou...
关键词:Mel’nikov equation breather solution phase shift 
C^(1,1) REGULARITY FOR SOLUTIONS TO THE DEGENERATE DUAL ORLICZ-MINKOWSKI PROBLEM
《Acta Mathematica Scientia》2025年第2期327-337,共11页Di WU 
In this paper,C1,1 regularity for solutions to the degenerate dual Orlicz-Minkowski problem is considered.The dual Orlicz-Minkowski problem is a generalization of the Lp dual Minkowski problem in convex geometry.The p...
关键词:C^(1 1)regularity Monge-Ampere type equation dual Orlicz-Minkowski problem 
A GENERALIZED CHOQUARD EQUATION WITH WEIGHTED ANISOTROPIC STEIN-WEISS POTENTIAL ON A NONREFLEXIVE ORLICZ-SOBOLEV SPACES
《Acta Mathematica Scientia》2025年第2期569-601,共33页Lucas DA SILVA Marco A.S.SOUTO 
supported by FAPESQ/Brazil(Grant No.3031/2021);supported by CNPq/Brazil(Grant No.309.692/2020-2)and FAPESQ/Brazil(Grant No.3031/2021).
In this paper we investigate the existence of solution for the following nonlocal problem with Stein-Weiss convolution term-△Φu+V(x)Φ(|u|)u=1/|x|α(∫R^(N)K(y)F(u(y))/|x-y|Y(λ)|y|^(α)dy)K(x)f(u(x)),x∈R^(N),wher...
关键词:Orlicz-Sobolev spaces variational methods Choquard equation nonrefexive spaces 
CLASSIFICATION OF SELF-SIMILAR SOLUTIONS OF THE DEGENERATE POLYTROPIC FILTRATION EQUATIONS
《Acta Mathematica Scientia》2025年第2期615-635,共21页Zhipeng LIU Shanming JI 
supported by the NSFC(12271178,12171166);the Guangzhou Basic and Applied Basic Research Foundation(2024A04J2022);the TCL Young Scholar(2024-2027).
In this paper,we study the self-similar solutions of the degenerate diffusion equation ut-div(|▽u^(m)|^(p-2)▽u^(m))=0 of polytropic filtration diffusion in R^(N)×(0,±∞)or(R^(N)/{0})×(0,±∞)with N≥1,m>0,p>1,suc...
关键词:self-similar solutions polytropic filtration equation degenerate diffusion equation doubly nonlinear diffusion 
REGULARITY THEORY AND NUMERICAL ALGORITHM FOR THE TIME-FRACTIONAL KLEIN-KRAMERS EQUATION
《Journal of Computational Mathematics》2025年第2期257-279,共23页Jing Sun Daxin Nie Weihua Deng 
supported by the National Natural Science Foundation of China(Grant Nos.12201270,12071195,12225107);by the Innovative Groups of Basic Research in Gansu Province(Grant No.22JR5RA391);by the Science and Technology Plan of Gansu Province(Grant No.22JR5RA535);by the Major Science and Technology Projects in Gansu Province-Leading Talents in Science and Technology(Grant No.23ZDKA0005);by the Fundamental Research Funds for the Central Universities(Grant No.lzujbky-2022-pd04);by the China Postdoctoral Science Foundation(Grant No.2022M721439).
Fractional Klein-Kramers equation can well describe subdiffusion in phase space.In this paper,we develop the fully discrete scheme for time-fractional Klein-Kramers equation based on the backward Euler convolution qua...
关键词:Time-fractional Klein-Kramers equation Regularity estimate Convolution quadrature Local discontinuous Galerkin method Error analysis 
An extended(2+1)-dimensional modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation:Lax pair and Darboux transformation
《Communications in Theoretical Physics》2025年第3期12-20,共9页Li Cheng Yi Zhang Wen-Xiu Ma 
supported by the National Natural Science Foundation of China(Grant No.12271488)。
The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored...
关键词:extended mKdV-CBS equation Lax pair Darboux transformation soliton solution 
A class of Hessian quotient equations in warped product manifolds
《Science China Mathematics》2025年第3期637-648,共12页Weimin Sheng Ke Xue 
supported by National Key R&D Program of China(Grant No.2022YFA1005500);National Natural Science Foundation of China(Grant Nos.12031017 and 11971424)。
Given a compact Riemannian manifold M and an open interval I in R,we consider a warped product manifold M=I×φM.For a positive function f defined on M,we obtain the existence of the(η,k)-convex hypersurfaceΣwhich s...
关键词:warped product manifold  k)-convex curvature equation 
Hydraulic conductivity of sand influenced by temperature and porosity in centrifugal tests
《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2025年第3期177-193,共17页Jianjian HE Xihao JIANG Yubing WANG 
supported by the Basic Science Center Program for Multiphase Media Evolution in Hypergravity of the National Natural Science Foundation of China(No.51988101)。
This study focused on the hydraulic conductivity of sand in centrifuge modeling.A self-designed temperature-controlled falling-head permeameter apparatus was used,and a series of falling-head seepage tests were perfor...
关键词:Hydraulic conductivity of sand TEMPERATURE POROSITY Centrifugal acceleration Kozeny-Carman equation 
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