Equilibria of Point-Vortices on Closed Surfaces

来源 :非线性偏微分方程和数学物理研讨会(NPDEMP 2016) | 被引量 : 0次 | 上传用户：kittyangie

【摘要】

：

　　I will discuss the existence of equilibrium configurations for the Hamiltonian point-vortex model on a closed surface.Its topological properties determine t

【作者】

：

Pierpaolo Esposito

【机构】

：

UniversityofRome3

【出处】

：

非线性偏微分方程和数学物理研讨会(NPDEMP 2016)

【发表日期】

：

2016年12期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　I will discuss the existence of equilibrium configurations for the Hamiltonian point-vortex model on a closed surface.Its topological properties determine the occurrence of three distinct situations,corresponding topologically to the sphere,to the real projective plane and to the remaining cases.As a by-product,new existence results are obtained for the singular mean-field equation with exponential nonlinearity.

其他文献

A Functional Varying-Coefficient Single Index Model for Functional Response Data

　　Motivated by the analysis of imaging data,we propose a novel functional varying-coefficient single index model(FVCSIM)to carry out the regression analysis o

会议

Mathematics for the Brainnetome Atlas

　　Brain atlas is considered to be the cornerstone of basic neuroscience and clinical researches.Brainnetome atlas is constructed with brain connectivity profi

会议

Laplacian-based Regularized Statistical ApproachAssociation of Gray Matter Imaging Markers with Alco

　　Majority of multimodal neuroimaging studies are analyzed separately for each modality.Importantly,statistical methods that simultaneously assess multi-modal

会议

Singularity Formation for the Two-dimensional Harmonic Map Flow into S2

　　We construct finite time blow-up solutions to the 2-dimensional harmonic map flow into the sphere S2,ut =△u+|▽u|2u in Ω×(0, T)u = φ on (e)Ω×(0,T)u(·

会议

Existence and Uniqueness of Vortex Patch for Two Dimensional Euler Equation

　　In this talk,the speaker will talk about the results obtained in recent years on the existence and uniqueness of vortex patch for two dimensional imcompress

会议

Estimates of Eigenvalues for a Class of Bi-subelliptic Operators

　　Let X =(X1,X2,…,Xm)be a system of real smooth vector fields defined on a bounded open domain Ω()Rn with smooth boundary (e)Ω which is non-characteristic

会议

Optimality in Critical and Subcritical InequalitiesFlows,Linearization and Entropy Methods

　　Symmetry breaking results for optimal functions in critical and subcritical functional inequalities involving weights can be obtained by a local analysis(li

会议

Existence of Positive Solutions with a Prescribed Singular Set for Fractional Yamabe Problem

　　We consider the problem of the existence of positive solutions with prescribed isolated singularities of the fractional Yamabe problem.Near each singular po

会议

H(o)lder Estimates for Solutions of a MEMS Equation

　　We prove sharp H(o)lder estimates for sequences of positive solutions of a nonlinear elliptic problem with negative exponent.As a consequence,we prove the e

会议

A Theory Connecting Mean Field Equations on Tori and Painlev(e) Ⅵ Equation

　　We develop a new theory to connect two areas:(ⅰ)Painlev(e)Ⅵ equation and(ⅱ)the mean field equation with multiple singular sources on tori.This gives a ge

会议

Equilibria of Point-Vortices on Closed Surfaces

与本文相关的学术论文