题目一：Nonlinear Mathematical Physics and Differential Equations
内容简介：We provide a small introduction to the subject of Nonlinear Mathematical Physics, concentrating mainly on some aspects of nonlinear (ordinary and partial) differential equations.The most important equations in this study are those that are integrable; meaning that the equations are solvable in some general sense and that their solutions (possibly under some restrictions) can be evaluated at least formally. The two main theories that we will discuss are related to Symmetry Transformation (pioneered by Marius Sophus Lie [1842-1899] and Albert Victor B¨acklund [1845-1922]) as well as the Painlev´e Analysis (pioneered by Paul Painlev´e [1863 - 1933]). I will also give a small historical overview and mention some of its applications (e.g. for solitons). Finally we point out some of our own contributions and future work that is planned.
报告人：瑞典吕勒奥理工大学（Luleå University of Technology） Norbert Euler 教授
报告人简介：Norbert Euler studied physics and mathematics at Rand Afrikaans University，graduating with B.Sc & B.Sc Hons. & M.Sc and Ph.D Awarded in in Applied Mathematics in 1986 & 1987 & 1988 and 1992 respectively. He became an associate professor and professor of Luleå University of Technology in Mathematics in 1999 and 2002.He has visited many mathematical institutions such as Rand Afrikaans University & Technical University of Darmstadt & Av Universidads/n Colonia etcs. He has published 77 papers and 10 books. He is Editor-in-Chief “Journal of Nonlinear Mathematical Physics” Published by Taylor & Francis since June 1997-ongoing. He is Editorial Board member“Labochevskii Journal of Mathematics” Published by Springer.
题目二：Symmetry-integrable evolution equations and the Schwarzian derivative
内容简介：We discuss the concept of symmetry-intgrable evolution equations in 1+1 dimensions. For nonlinear partial differential equations, the concept of symmetry-integrability is based on the existence of higher-order local generalized symmetries (also known as Lie-B¨acklund symmetries) under which the nonlinear equations remain invariant, as well as the existence on an infinite number of adjoint symmetries (or integrating factors) to generate conservation laws for the equations (or systems). We also discuss an interesting connection between symmetry-integrable equations that are in addition invariant under the M¨obius transformation in terms of the Schwarzian derivative. This also provides a direct connection to the so-called Painlev´e Integrability of those equations. We refer to our recent paper On M¨obius-invariant and symmetry-integrable evolution equations and the Schwarzian derivative, Studies in Applied Mathematics, 2019; 1 – 18, https://doi.org/10.1111/sapm.12268
报告人：瑞典吕勒奥理工大学（Luleå University of Technology, Sweden） Marianna Euler 副教授
报告人简介：Marianna Euler studied mathematics at Kiev State University and Kiev Institute of Mathematics of the Ukrainian Academy of Sciences，graduating with B.Sc from Kiev State University in the Faculty of Mathematics and 1983 & the First Ph.D in Mathematcs. From Kiev Institute of Mathematics of the Ukrainian Academy of Sciences in 1988 and the Second Ph.D in Mathematics from Luleå University of Technology in 1998. She became an associate professor of Luleå University of Technology in Mathematics in 2002.She has visited many mathematical institutions such as Kiev State University and Kiev Institute of Mathematics of the Ukrainian Academy of Sciences, & Av Universidads/n Colonia etcs. She has published 49 papers and 6 books.
时 间：2019年9月26日（周四）上午9：30始
地 点：南海楼224室
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信息科学技术学院
2019年9月18日