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题目：On the quantum magnetohydrodynamic system and related models

报告人：Paolo Antonelli教授 

(意大利萨索科学研究所（GSSI）)

报告人简介

Paolo Antonelli 萨索科学研究所数学部教授，主要研究领域是量子流体力学、薛定谔方程方程适定性理论和渐进极限问题，在本领域国际一流期刊： Arch. Ration. Mech. Anal., Comm. Math. Phys., Comm. Part Diff. Eq., SIAM J. Math. Anal.和J. Differential Equations上发表论文30多篇，尤其在量子流体力学方程有限能量解的存在性方面开创性的研究。

Abstract : The quantum magnetohydrodynamic (QMHD) system describes a compressible, inviscid, charged fluid subject to self-consistent electro-magnetic fields, determined by the Maxwell's equations. This model is used in the description of dense astrophysical plasmas, like for instance in white dwarves. The QMHD system can also be studied by analyzing a companion wave function dynamics, namely a nonlinear Maxwell-Schr?dinger system with a power-type nonlinearity. Indeed the Madelung transform, associating a wave function to its momenta given by the particle and current density, relates a solution of the nonlinear MS system to a solution to the QMHD. We present some existence results, both the nonlinear Maxwell-Schr?dinger and the fluid dynamical system and discuss possible extensions. This is a joint work with P. Marcati and R. Scandone.

时间： 5月30日（周四）上午10:30-11:30

地点：565net必赢客户端本部教二楼 527 教室

联系人：李海梁

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