检索结果-南通市图书馆

Existence of Solutions for Degenerate Quasilinear parabolic Equationsof Higher Order

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 1997年第4期13卷 465-472页

作者： liu zhenhai department of mathematics, changsha university of electric power, changsha 410077, china

In the paper, existence results for degenerate parabolic boundary value problems of higher order are proved. The weak solution is sought in a suitable weighted Sobolev space by using the generalized degree theory.

关键词： Quasilinear parabolic Degenerate equation Existence results

ON A NONLINEAr DEGENErATE pArABOLICEQUATION

在线全文

学校读者我要写书评

暂无评论

Systems Science and Mathematical Sciences 1999年第S1期12卷 122-128页

作者： liu zhenhai(department of mathematics, changsha university of electric power,changsha 410077, china)

In this papaer, existence results for degenerate parabolic boundary valueproblems of second order are proved. The weak solution is sought in a suitable weightedSobolev space by using the generalized degree theory.

关键词： Nonlinear parabolic degenerate equation existence results.

pErIODIC SYSTEMS WITH TIME DEpENDENT MAXIMAL MONOTONE OpErATOrS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2024年第4期44卷 1280-1300页

作者： zhenhai liu Nikolaos S.pApAGEOrGIOU Center for Applied mathematics of Guangri Yulin Normal UniversityYulin 537000China Guangri Key Laboratory of Universities Optimization Control and Engineering Calculation College of Mathematics and PhysicsGuangri Minzu UniversityNanning 530006China department of mathematics National Technical UniversityZografou Campus15780 AthensGreece

We consider a first order periodic system in r^(N),involving a time dependent maximal monotone operator which need not have a full domain and a multivalued *** prove the existence theorems for both the convex and nonconvex *** also show the existence of extremal periodic solutions and provide a strong relaxation ***,we provide an application to nonlinear periodic control systems.

关键词： periodic boundary condition time-dependent maximal monotone operator convex and nonconvex problems extremal solutions strong relaxation

QUASILINEAr ELLIpTIC BOUNDArY VALUE prOBLEMS WITH DISCONTINUOUS NONLINEArITIES

在线全文

学校读者我要写书评

暂无评论

Systems Science and Mathematical Sciences 2000年第1期13卷 85-91页

作者： liu Zhen hai (department of mathematics, changsha university of electric power, changsha 410077, china) 长沙电力大学数学系湖南长沙 410077

***nonmonotoneellipticboundaryvalueproblem,***=--Z:=,hat(x,u,7u)+ac(x,usac)an4thesymbolaldesignatesclarke'sgeneralizedgradientofalocallyL... 详细信息

***nonmonotoneellipticboundaryvalueproblem,***=--Z:=,hat(x,u,7u)+ac(x,usac)an4thesymbolaldesignatesclarke'sgeneralizedgradientofalocallyL...

关键词： Elliptic problems discontinuous nonlinearities existence results.

Weighted Lorentz Norm Inequalities for riemann-Liouville Fractional Integra

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematical research 1998年第4期 32-37页

作者： liu Lanzhe (department of mathematics, changsha university of electric power, changsha, 410077)

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＫ（ｘ，ｙ）≥０ｂｅｄｅｆｉｎｅｄｏｎ｛（ｘ，ｙ）∈Ｒ＋×Ｒ＋：ｘ＞ｙ｝，ａｎｄμ，νｂｅｔｈｅｐｏｓｉｔｉｖｅＢｏｒｅｌｍｅａｓｕｒｅｓｏｎＲ＋．Ｗｅｄｅｆｉｎｅｔｈｅｉｎｔｅｇ... 详细信息

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＫ（ｘ，ｙ）≥０ｂｅｄｅｆｉｎｅｄｏｎ｛（ｘ，ｙ）∈Ｒ＋×Ｒ＋：ｘ＞ｙ｝，ａｎｄμ，νｂｅｔｈｅｐｏｓｉｔｉｖｅＢｏｒｅｌｍｅａｓｕｒｅｓｏｎＲ＋．ＷｅｄｅｆｉｎｅｔｈｅｉｎｔｅｇｒａｌｏｐｅｒａｔｏｒＴｆ（ｘ）＝...

关键词： Integral Operator riemann Liouville Fractional Integral Weighted Lorentz Space

plasma-assisted aerogel interface engineering enables uniform Zn^(2+)flux and fast desolvation kinetics toward zinc metal batteries

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Journal of Energy Chemistry 2024年第8期95卷 29-38,I0002页

作者： Zijian Xu zhenhai Shi Zhan Chang Fan Feng Zhuanyi liu Dongkun Chu Jianguo ren Zi-Feng Ma Suli Chen Tianxi liu Key Laboratory of Synthetic and Biological Colloids Ministry of Education School of Chemical and Material EngineeringJiangnan UniversityWuxi 214122JiangsuChina Shanghai Electrochemical Energy Devices research Center Department of Chemical EngineeringShanghai Jiao Tong UniversityShanghai 200240China BTr New Material Group Co. LTD.Shenzhen 518000GuangdongChina

The poor reversibility of Zn anodes induced by dendrite growth,surface passivation,and corrosion,severely hinders the practical applicability of Zn metal *** address these issues,a plasmaassisted aerogel(pAG)interface engineering was proposed as efficient ion transport modulator that can simultaneously regulate uniform Zn^(2+)flux and desolvation behavior during battery *** pAG with ordered mesopores acted as an ion sieve to homogenize Zn deposition and accelerate Zn^(2+)flux,which is favorable for corrosion resistance and dendrite ***,the plasma-assisted aerogel with abundant hydrophilic groups can facilitate the desolvation kinetics of Zn^(2+)due to the multiple hydrogen-bonding interaction with the activated water molecules,thus accelerating the Zn^(2+)migration ***,the Zn/Zn cell assembled with pAG-modified separator demonstrates stable plating and stripping behavior(over 1400 h at 1 mA cm^(-2))and high Coulombic efficiency(99.8%at1 mA cm^(-2)after 1100 cycles),and the Zn‖MnO_(2)full cell shows excellent long-term cycling stability and maintains a high capacity of 154.9 mA h g^(-1)after 1000 cycles at 1 A g^(-1).This study provides a feasible approach for the large-scale fabrication of aerogel functionalized separators to realize ultra-stable Zn metal batteries.

关键词： Zn metal batteries Aerogel interface plasma Zn^(2+)migration kinetics Dendrite growth

Inverse Coefficient problems for Elliptic Hemivariational Inequalities

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2010年第4期31卷 473-480页

作者： Cui＇e XIAO zhenhai liu School of Mathematical Sciences and Computing Technology Central South University Changsha 410075 China department of mathematics and Computation Sciences Hunan City University Yiyang 413000 Hunan China School of mathematics and Computer Science Guangxi University for Nationalities Nanning 530006 China

This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic hemivariational inequalities. The unknown coefficient of elliptic hemivariational inequalities depends on the gradient of the solution and belongs to a set of admissible coefficients. It is shown that the nonlinear elliptic hemivariational inequalities are uniquely solvable for the given class of coefficients. The result of existence of quasisolutions of the inverse problems is obtained.

关键词： Elliptic hemivariational inequality Inverse coefficient problem Existence of quasisolution

EXISTENCE AND NONEXISTENCE OF GLOBAL pOSITIVE SOLUTIONS FOr DEGENErATE pArABOLIC EQUATIONS IN EXTErIOr DOMAINS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2010年第3期30卷 713-725页

作者：曾宪忠刘振海 department of mathematics and Computational Science Hunan University of Science and Technology department of mathematics Central South University

This article deals with the degenerate parabolic equations in exterior domains and with inhomogeneous Dirichlet boundary conditions. We obtain that pc = （σ ＋ m ）n / （ n-σ- 2 ） is its critical exponent provided max{-1, [ （1- m ）n- 2] / （ n ＋ l ） } 〈 σ 〈 n- 2. This critical exponent is not the same as that for the corresponding equations with the boundary value 0, but is more closely tied to the critical exponent of the elliptic type degenerate equations. Futhermore, we demonstrate that if max（1, σ ＋ m）〈 p 〈 pc, then every positive solution of the equations blows up in finite time; whereas for p 〉 pc, the equations admit global positive solutions for some boundary values and initial data. Meantime, we also demonstrate that its positive solutions blow up in finite time provided n〈σ＋2.

关键词： Degenerate parabolic equations exterior domains -inhomogeneous dirichlet boundary conditions critical exponent blow-up global existence

CONTrOLLABILITY FOr A pArABOLIC EQUATION WITH A NONLINEAr TErM INVOLVING THE STATE AND THE GrADIENT

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2010年第5期30卷 1593-1604页

作者：许友军刘振海 School of mathematics and physics University of South China School of Mathematical Sciences and Computing Technology Central South University

In this article, we consider the controllability of a quasi-linear heat equation involving gradient terms with Dirichlet boundary conditions in a bounded domain of *** results are established by using the variational ... 详细信息

关键词： controllability Kakutani fixed-point theorem nonlinear gradient term