LERAY

作品数:115被引量:83H指数:5
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相关领域:理学更多>>
相关作者:鲁世平裴明鹤李淑红刘锡平梁峰更多>>
相关机构:西北师范大学安徽师范大学丽水学院上海理工大学更多>>
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Existence of Entropy Solution for Degenerate Parabolic-Hyperbolic Problem Involving p(x)-Laplacian with Neumann Boundary Condition
《Applied Mathematics》2024年第7期455-463,共9页Mohamed Karimou Gazibo Duni Yegbonoma Frédéric Zongo 
We consider a strongly non-linear degenerate parabolic-hyperbolic problem with p(x)-Laplacian diffusion flux function. We propose an entropy formulation and prove the existence of an entropy solution.
关键词:Lebesgue and Sobolev Spaces with Variable Exponent Weak Solution Entropy Solution Degenerate Parabolic-Hyperbolic Equation Conservation Law Leray Lions Type Operator Neumann Boundary Condition Existence Result 
On Leray's problem in an infinitely long pipe with the Navier-slip boundary condition
《Science China Mathematics》2024年第4期819-854,共36页Zijin Li Xinghong Pan Jiaqi Yang 
supported by Natural Science Foundation of Jiangsu Province(Grant No.BK20200803);National Natural Science Foundation of China(Grant No.12001285);supported by National Natural Science Foundation of China(Grant Nos.11801268 and 12031006);supported by National Natural Science Foundation of China(Grant No.12001429)。
The original Leray’s problem concerns the well-posedness of weak solutions to the steady incompressible Navier-Stokes equations in a distorted pipe,which approach the Poiseuille flow subject to the no-slip boundary c...
关键词:stationary Navier-Stokes system Navier-slip boundary condition Leray's problem 
Stochastic 3D Leray-α model with fractional dissipation
《Science China Mathematics》2023年第11期2589-2614,共26页Shihu Li Wei Liu Yingchao Xie 
supported by National Natural Science Foundation of China(Grant No.12001247);supported by National Natural Science Foundation of China(Grant Nos.12171208,11831014 and 12090011);supported by National Natural Science Foundation of China(Grant Nos.11931004 and 12090011);Natural Science Foundation of Jiangsu Province(Grant No.BK20201019);the Priority Academic Program Development of Jiangsu Higher Education Institutions。
In this paper,we establish the global well-posedness of the stochastic 3D Leray-αmodel with general fractional dissipation driven by multiplicative noise.This model is the stochastic 3D Navier-Stokes equations regula...
关键词:stochastic Leray-Q model fractional Laplacian stochastic Navier-Stokes equation WELL-POSEDNESS 
Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and L^(1)-Data
《Analysis in Theory and Applications》2023年第1期53-68,共16页Youssef Akdim Morad Ouboufettal 
This paper is concerned with the existence of solution for a general class of strongly nonlinear elliptic problems associated with the differential inclusionβ(u)+A(u)+g(x,u,Du)■f,where A is a Leray-Lions operator fr...
关键词:Sobolev spaces Leray-Lions operator trunctions maximal monotone graphe 
带有输运型噪声的三维Euler型Leray-ɑ模型解的存在性及极限行为
《浙江理工大学学报(自然科学版)》2022年第6期931-940,共10页龚园园 陈涌 
浙江省自然科学基金项目(LZJWY22E060002)。
在确定性Leray-ɑ模型上添加输运型噪声,构造带有输运型噪声的Euler型Leray-ɑ模型,研究在三维情况下输运型噪声趋于0时该随机Euler型Leray-ɑ模型解的存在性及极限行为。通过Galerkin逼近和紧性方法,探究随机Euler型Leray-ɑ模型在分...
关键词:随机Euler型Leray-ɑ模型 输运型噪声 Prohorov定理 Skorokhod定理 Galerkin逼近方法 紧性方法 
一类含Hardy-Leray势的分数阶p-Laplacian方程解的单调性和对称性
《应用数学》2022年第1期22-29,共8页蒋艳琳 沃维丰 
国家自然科学基金(11971251);浙江省自然基金(LY20A010011)。
本文研究在有界域和无界域上含Hardy-Leray势的分数阶p-Laplacian方程,运用移动平面法,得到该方程正解的单调性和对称性,并将带Hardy-Leray势的分数阶方程解的对称性结果推广到更一般的分数阶p-Laplacian方程.
关键词:Hardy-Leray势 分数阶p-Laplacian 对称性 移动平面法 
A Kind of Integral Representation on Complex Manifold
《Journal of Mathematical Study》2022年第1期95-108,共14页Teqing Chen Zhiwei Li 
supported by Educational and Scientific Research Funding Program for young and middle-aged teachers in Fujian Province,China(Grant No.JT180700).
In this paper,by using the Hermitian metric and Chern connection,we study the case of a strictly pseudoconvex domain G with non-smooth boundaries in a complex manifold.By constructing a new integral kernel,we obtain a...
关键词:Complex manifold strictly pseudoconvex domain non-smooth boundary Koppelman–Leray–Norguet formula ∂–equation 
Orbifold Gromov-Witten theory of weighted blowups被引量:1
《Science China Mathematics》2020年第12期2475-2522,共48页Bohui Chen Cheng-Yong Du Rui Wang 
supported by National Natural Science Foundation of China(Grant Nos.11890663,11821001,11826102 and 11501393);the Sichuan Science and Technology Program(Grant No.2019YJ0509);a joint research project of Laurent Mathematics Research Center of Sichuan Normal University and V.C.&V.R.Key Lab of Sichuan Province。
Consider a compact symplectic sub-orbifold groupoid S of a compact symplectic orbifold groupoid(X,ω).LetXabe the weight-a blowup of X along S,and Da=PNa be the exceptional divisor,where N is the normal bundle of S in...
关键词:orbifold Gromov-Witten theory Leray-Hirsch result weighted projective bundle weighted blowup root stack blowup along complete intersection 
Global Regularity of 2D Leray-Alpha Regularized Tropical Climate Models
《Journal of Partial Differential Equations》2020年第3期208-221,共14页ZHANG Ying YUAN Baoquan 
partially supported by the National Natural Science Foundation of China(No.11471103).
In this paper,we establish the global regularity of 2D leray-alpha regularized tropical climate models.The global strong solution to the system with a half Laplacian of the first baroclinic model of velocity(Av)and th...
关键词:Tropical climate model Leray-alpha model global regularity 
三维不可压缩磁流体力学方程组自相似的Leray弱解的整体存在性
《数学的实践与认识》2019年第20期267-278,共12页郭华 元荣 
研究了三维不可压缩磁流体力学方程组的Cauchy问题.利用在近初始时刻局部空间的正则性估计以及Leray-Schauder不动点定理,证明了当(-1)齐次初值光滑且满足伸缩不变性时,该Cauchy问题存在自相似的光滑Leray弱解.
关键词:磁流体力学方程组 自相似解 LERAY-SCHAUDER不动点定理 
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