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作品数:2337被引量:3277H指数:20
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Comparison of Riemann Solutions for Non-isentropic Modified and Pure Chaplygin Gas Dynamics
《Acta Mathematicae Applicatae Sinica》2023年第3期733-751,共19页Wen-jia WU Li WANG 
Academic Discipline Project of Shanghai Dianji University(Grant No.16JCXK02)。
In this paper,we investigate the Riemann solutions of the non-isentropic Euler equations for the modified Chaplygin gas and the pure Chaplygin gas,which are the set of all rarefaction waves,shock waves,contact discont...
关键词:modified Chaplygin gas δ-shock waves Riemann problem generalized Rankine-Hugoniot conditions 
Global Existence of Strong Solutions for the Generalized Navier-Stokes Equations with Damping
《Acta Mathematicae Applicatae Sinica》2022年第3期627-634,共8页Xiao-jing CAI Yan-jie ZHOU 
supported by NSFC(No.12171014);by the National Key Research and Development Project of China Grant(No.2017YFC1500301);Joint key project of the National Science Foundation of China and the China earthquake administration(No.U1839206);by Research Foundation for Advanced Talents of Beijing Technology and Business University(No.19008020161)。
This paper mainly focus on the global existence of the strong solutions for the generalized NavierStokes equations with damping. We obtain the global existence and uniqueness when α ≥5/4 for β ≥ 1 and when 1/2+β/...
关键词:generalized Navier-Stokes equations DAMPING global existence 
Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential
《Acta Mathematicae Applicatae Sinica》2022年第2期337-351,共15页Yan-fei CHAI San-yang LIU Si-qi WANG 
supported by National Science Foundation of China(No.11401487);the Education Department of Shaanxi Province(No.17JK0330);the Fundamental Research Funds for the Central Universities(No.300102341101);State Key Laboratory of Rail Transit Engineering Informatization(No.211934210083)。
In this paper,we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential.We first introduce a generalized augmented Lagrangian function induced by a coupling vector-valued f...
关键词:Nonconvex set-valued vector optimization abstract subdifferential generalized augmented Lagrangian duality exact penalization sub-optimal path 
Navier-Stokes/Allen-Cahn System with Generalized Navier Boundary Condition
《Acta Mathematicae Applicatae Sinica》2022年第1期98-115,共18页Ya-zhou CHEN Qiao-lin HE Bin HUANG Xiao-ding SHI 
supported by the National Natural Science Foundation of China(Nos.12171024,11901025,11971217,11971020)。
In this paper,we focus on the immiscible compressible two-phase flow described by the coupled compressible Navier-Stokes system and the modified Allen-Cahn equations.The generalized Navier boundary condition and the r...
关键词:compressible Navier-Stokes equation Allen-Cahn equation generalized Navier boundary condition EXISTENCE UNIQUENESS 
GMM and Misspecification Correction for Misspecified Models with Diverging Number of Parameters
《Acta Mathematicae Applicatae Sinica》2019年第4期780-797,共18页Qi ZHANG Kai-ping WANG De-li LI Lu LIN 
Supported by National Natural Science Foundation of China(Nos.11971265,11701318,11871294 and 71572097);Shandong Provincial Natural Science Foundation of China(Nos.ZR2019PF012 and ZR2019BA028);National Key R&D Program of China(2018YFA0703900);a Project of Shandong Province Higher Educational Science and Technology Program(No.J18KA356)
Misspecified models have attracted much attention in some fields such as statistics and econometrics. When a global misspecification exists, even the model contains a large number of parameters and predictors,the miss...
关键词:misspecified model high dimensionality GENERALIZED method of MOMENTS MISSPECIFICATION correc- tion 
Global Well-posedness of the Stochastic Generalized Kuramoto-Sivashinsky Equation with Multiplicative Noise
《Acta Mathematicae Applicatae Sinica》2018年第3期566-584,共19页Wei WU Shang-bin CUI Jin-qiao DUAN 
Supported by the National Natural Science Foundation of China(No.11571381,11531006,11771449);the National Science Foundation(No.1620449);the High Level Talent Foundation of Qingdao Agricultural University(No.663-1113305)
Global well-posedness of the initial-boundary value problem for the stochastic generalized KuramotoSivashinsky equation in a bounded domain D with a multiplicative noise is studied. It is shown that under suitable suf...
关键词:Kuramoto-Sivashinsky equation stochastic partial differential equations multiplicative noise well-posedness 
Optimality Conditions of the Set-valued Optimization Problem with Generalized Cone Convex Set-valued Maps Characterized by Contingent Epiderivative被引量:2
《Acta Mathematicae Applicatae Sinica》2018年第1期11-18,共8页Zhi-ang ZHOU Xin-min YANG Qiu-sheng QIU 
supported by the National Nature Science Foundation of China(11431004,11471291);the General Project of Chongqing Frontier and Applied Foundation Research(cstc2015jcyj A00050);the Key Project of Chongqing Frontier and Applied Foundation Research(cstc2017jcyj BX0055,cstc2015jcyj BX0113)
In this paper, firstly, a new notion of generalized cone convex set-valued map is introduced in real normed spaces. Secondly, a property of the generalized cone convex set-valued map involving the contingent epideriva...
关键词:set-valued maps generalized cone convexity Henig proper efficiency contingent epiderivative optimality conditions 
Second-order Optimality Conditions for Cone-subarcwise Connected Set-valued Optimization Problems
《Acta Mathematicae Applicatae Sinica》2018年第1期183-196,共14页Zhen-hua PENG Yi-hong XU 
Supported by the National Natural Science Foundation of China Grant 11461044;the Natural Science Foundation of Jiangxi Province(20151BAB201027);the Science and Technology Foundation of the Education Department of Jiangxi Province(GJJ12010)
The concept of a cone subarcwise connected set-valued map is introduced. Several examples are given to illustrate that the cone subarcwise connected set-valued map is a proper generalization of the cone arcwise connec...
关键词:cone subarcwise connected set-valued map generalized contingent epiderivative global proper efficiency optimality condition 
Generalized Latin Matrix and Construction of Orthogonal Arrays
《Acta Mathematicae Applicatae Sinica》2017年第4期1083-1092,共10页Shan-qi PANG Li-yan CHEN 
Supported by the National Natural Science Foundation of China(Nos.11571094 and 11171093)
In this paper, generalized Latin matrix and orthogonal generalized Latin matrices are proposed. By using the property of orthogonal array, some methods for checking orthogonal generalized Latin matrices are presented....
关键词:orthogonal array generalized Latin matrix orthogonal generalized Latin matrices matrix image generalized permutation difference matrix 
Solving Multi-period Interdiction via Generalized Bender's Decomposition
《Acta Mathematicae Applicatae Sinica》2017年第3期633-644,共12页Maryam SOLEIMANI-ALYAR Alireza GHAFFARI-HADIGHEH 
Supported by Azarbaijan Shahid Madani University
This paper considers a novel formulation of the multi-period network interdiction problem. In this model, delivery of the maximum flow as well as the act of interdiction happens over several periods, while the budget ...
关键词:Bi-level programming network interdiction mixed-integer nonlinear programming generalized benders decomposition 
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