大连理工大学数学科学学院
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【中国科学院】Interfacial waves under horizontal electric fields: Hamiltonian structure and bifurcation of solitary waves

2023年01月06日 10:17  点击:[]

报告题目:Interfacial waves under horizontal electric fields: Hamiltonian structure and bifurcation of solitary waves

报 告 人:王展 研究员(中国科学院力学研究所研究员)

报告时间:202316日(周五) 14:00-15:00

报告地点:腾讯会议:932-636-626

校内联系人:王振 教授


报告摘要: Electrohydrodynamics, an interdisciplinary subject coupling electrostatic fields into fluid flows through the Maxwell stress tensor, has a wide range of applications in chemistry and industry, including the cooling system, coating process, and microfluidic device. The tangential electric field, parallel to the undisturbed interface, has a stabilizing effect since it provides a dispersive/dissipative contribution to the linear system. It can delay the formation of the film rupture and even suppress the Rayleigh-Taylor instability. This talk focuses on interfacial waves between two dielectrics under tangential electric fields in the inviscid limit, which can be formulated as a Hamiltonian system. Asymptotic modelling based on the Hamiltonian framework, as well as the direct numerical simulations of the primitive equations, are combined to capture the nonlinear features of the system. The tangential electric field leads to a more complicated dispersion relation, and its stabilizing nature expands the range of parameters that can be explored; hence peculiar wave phenomena, particularly new types of solitary waves, are discovered.


报告人简介:王展,中国科学院力学研究所研究员、学术委员会副主任,中科院流固耦合系统力学重点实验室副主任。本科与硕士毕业于南京大学,2012年获威斯康星大学麦迪逊分校应用数学博士学位;毕业后曾先后担任伦敦大学学院研究助理和巴斯大学数学科学系讲师。主要从事非线性波、水动力学、地球流体力学、流动稳定性等方向的理论与应用基础研究。目前担任中国力学学会环境力学专业委员会副主任、《力学进展》副主编、《Theoretical & Applied Mechanics Letters》等多种期刊编委。




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