学术报告

题      目：On well-posedness of the two-dimensional MHD-Maxwell free interface problem

报  告  人：Yury Trakinhin 首席研究员       (邀请人：袁源 )

                                    俄罗斯科学院索波列夫数学研究所

时      间：4月23日  09：00-10：00

地     点：数科院西楼114教室

报告人简介:

        Professor Trakhinin is a Principal Researcher at the Sobolev Institute of Mathematics of the Russian Academy of Sciences (RAS) in Novosibirsk. He earned his Ph.D. in Mathematics from Novosibirsk State University in 1994, and he received his Doctor of Sciences degree (highest academic degree in Russia) in 2006. In 2018 he also received the honorary title of Professor of RAS, and in 2022 he was elected as a Corresponding member of RAS（俄罗斯科学院通讯院士）. In 1997-1998 he was an Alexander von Humboldt Research Fellow at the University of Stuttgart and in 2007 at the University of Leipzig (Germany). In 2002-2005 he worked as a Visiting Research Associate at the University of Hull (UK). In 2006, 2010 and 2012, he received a honorary fellowship of the Landau Network-Fondazione Alessandro Volta and Fondazione Cariplo and worked at the University of Brescia (Italy). His research interests include hyperbolic systems of conservation laws, well-posedness theory for free boundary problems in mathematical fluid dynamics, shock waves and characteristic discontinuities. He is the author of about 80 papers and two monographs.

摘      要：

        We discuss the well-posedness of the 2D free interface problem in ideal compressible MHD taking into account the influence of the displacement current in vacuum, where the electric and magnetic fields satisfy the Maxwell equations. By using a suitable secondary symmetrization of the Maxwell system, we prove the well-posedness of the corresponding variable coefficient linearized problem, provided that at least one of the two unperturbed magnetic fields, in the plasma or in the vacuum region, is nonzero at each point of the interface.

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