检索结果-南通市图书馆

A New Fractional Projective Riccati Equation Method for Solving Fractional Partial Differential equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2014年第8期61卷 167-172页

作者：冯青华 School of Science Shandong University of Technology

In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann–Liouville derivative. This method can be seen as the fractional version of the known projective Riccati equation method. For illustrating the validity of this method,we apply this method to solve the space-time fractional Whitham–Broer–Kaup(WBK) equations and the nonlinear fractional Sharma–Tasso–Olever(STO) equation, and as a result, some new exact solutions for them are obtained.

关键词： fractional projective Riccati equation method fractional partial differential equations exact solutions nonlinear fractional complex transformation fractional Whitham–Broer–Kaup equations fractional Sharma–Tasso–Olever equation

The Liouville Type Theorem for a System of Nonlinear Integral equations on Exterior Domain

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Journal of Partial Differential equations 2019年第3期32卷 191-206页

作者： YIN Rong ZHANG Jihui SHANG Xudong School of Science Nantong UniversityNantong 226000China Institute of Mathematics Nanjing Normal UniversityNanjing 270023China Institute of Mathematics Nanjing Normal University Taizhou CollegeTaizhou 225300China

In this paper we are concerned with a system of nonlinear integral equations on the exterior domain under the su让able boundary conditions.Through the method of moving planes in integral forms which has some innovative ideas we obtain that the exterior domain is radial symmetry and a pair of positive solutions of the system is radial symmetry and monotone non-decreasing.Consequently,we can obtain the corresponding Liouville type theorem about the solutions.

关键词： System of integral equations exterior domain symmetry monotonicity Liouville type theorem

Sobolev-type Fractional Stochastic Differential equations Driven by Fractional Brownian Motion with Non-Lipschitz Coefficients

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Partial Differential equations 2019年第2期32卷 144-155页

作者： ZHAN Wentao LI Zhi School of Information and Mathematics Yangtze UniversityJingzhou 434023China.

In this paper,we are concerned with the existence and uniqueness of mild solution for a class of nonlinear fractional Sobolev-type stochastic differential equations driven by fractional Brownian motion with Hurst parameter HG(l/2,l)in Hilbert space.We obtain the required result by using semigroup theory,stochastic analysis principle,fractional calculus and Picard iteration techniques with some non-Lipschitz conditions.

关键词： Fractional Sobolev-type stochastic differential equations fractional Brownian motion mild solution

Symmetry Groups and Gauss Kernels of the Schr(o)dinger equations with Potential Functions

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics Letters 2012年第7期29卷 1-5页

作者：康静屈长征 Department of Mathematics Northwest UniversityXi’an 710069 Department of Mathematics Ningbo UniversityNingbo 315211

We study the Gauss kernels for a class of (2+1)-dimensional linear Schr(o)dinger equations with potential functions.The relationship between the Lie point symmetries and Gauss kernels for the Schr(o)dinger equations is established.It is shown that a classical integral transformation of the Gauss kernel can be generated by a proper Lie point symmetry admitted by the equation.Then we can recover the Gauss kernels for the Schr(o)dinger equations by performing the inverse integral transformation.

关键词： functions equation equations

Global Mild Solutions and Long Time Decay of 3D Incompressible MHD equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Partial Differential equations 2018年第4期31卷 343-352页

作者： ZHANG Hui School of Mathematics and Computation Sciences Anqing Normal UniversityAnqing 246133China

We prove the global existence of a unique mild solutions to the incompressible MHD equations when the irdtial data are less than the viscosity coefficients in a new critical space introduced by Lei and Lin[1].Moreover... 详细信息

关键词： MHD equations global well-posedness Lei-Lin space

On Current Developments in Partial Differential equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Mathematical Research 2020年第1期36卷 1-30页

作者： Fanghua Lin Courant Institute New York UniversityNew YorkNY 10012USA.

The first part of this article is an overview on some recent major developments in the field of analysis and partial different equations.It is a brief presentation given by the author at a round table discussion.The s... 详细信息

关键词： Partial differential equations harmonic analysis geometric measure theory

The Reduction of Chazy Classes and Other Third-Order Differential equations Related to Boundary Layer Flow Models

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Chinese Physics Letters 2012年第6期29卷 5-8页

作者： K.Fakhar A.H.Kara Department of Mathematics Faculty of ScienceUniversiti Teknologi MalaysiaScience and Technology81310 UTM SkudaiJohorMalaysia Ibnu Sina Institute for Fundamental Sciences Faculty of ScienceUniversiti Teknologi MalaysiaScience and Technology81310 UTM SkudaiJohorMalaysia School of Mathematics and Centre for Differential equations Continuum Mechanics and ApplicationsUniversity of the WitwatersrandJohannesburg Wits 2050South Africa

We study the symmetries,conservation laws and reduction of third-order equations that evolve from a prior reduction of models that arise in fluid phenomena.These could be the ordinary differential equations (ODEs)that are reductions of partial differential equations (PDEs) or,alternatively,PDEs related to given ODEs.In this class,the analysis includes the well-known Blasius,Chazy,and other associated third-order ODEs.

关键词： equations ordinary evolve

Seiberg-Witten-Like equations Without Self-Duality on Odd Dimensional Manifolds

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Partial Differential equations 2018年第4期31卷 291-303页

作者： EKER Serhan DEGIRMENCI Nedim Department of Mathematics Agri Ibrahim Qegen University Agri04000TURKEY Department of Mathematics Anadolu University Eskisehir 26000TURKEY

In this paper,Seiberg-Witten-like equations w让hout self-duality are defined on any smooth 2n+1-dimensional Spinc manifolds.Then,a non-trivial solution is given on the strictly-Pseudoconvex CR-5 manifolds endowed with a canonical Spincstructure by using Dirac operator associated with the generalized Tanaka-Webster connection.Finally,some bounds are given to them on the 5-dimensional Riemannian manifolds.

关键词： Clifford algebras Spin and Spin^c geometry Seiberg-Witten equations

Variational Methods to Nonlinear Differential equations with Non-instantaneous Impulses

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Donghua University(English Edition) 2018年第6期35卷 500-502页

作者：郭佳 School of Mathematics and Computational Science Hunan First Normal University

The author aimed to investigate the solvability for nonlinear differential equations with not instantaneous impulses.Variational approach was adopted to obtain the existence of weak solutions as critical points. The f... 详细信息

关键词： variational method critical points impulsive ordinary differential equations non-instantaneous impulses