A Seminar Series presented by the Division of Mathematics, Luleå University of Technology. Scheduled between November 2016 to June 2017.
|Starttid||8 mars 2017, kl. 15:00|
|Sluttid||8 mars 2017, kl. 16:15|
Wednesday 15:00, 8 March 2017
Speaker: Norbert Euler, Division of Mathematics, LTU
Title: Nonlinear Mathematical Physics and Differential Equations: A Personal Perspective and a First Step in Symmetry Analysis
Abstract: This talk will consist of two main parts. In Part I we will give a general overview on some of the subjects in nonlinear mathematical physics. In particular we'll consider the problem of the integrability (or solvability) of nonlinear differential equations and discuss the theories that are available to address this problem. We'll concentrate on two main theories, namely the Lie symmetry analysis and the Painlev\'e analysis, applicable to both ordinary and partial differential equations. Although the two approaches that are described by these theories are essentially different in their mathematical structure, they both address the integrability of nonlinear equations and serve as useful criteria for identifying integrable equations. In Part II of this talk we will concentrate on the Lie symmetry analysis theory. As an introduction to this theory, we will derive the invariance condition that determines Lie point symmetry transformations for differential equations. This part will be presented in the form of a lecture, and some exercises will also be included for the interested reader.
The goal of the series is to present some of the current research subjects at the Division of Mathematics. Most of the talks in this series are aimed at Engineers and Applied Scientists at LTU that may find the subjects interesting for their research projects and graduate programmes.
The topic and level of a particular seminar depends on the speaker. Some speakers will provide a smooth introduction to their subject while others will concentrate more on recent research results or discuss open problems. Each seminar will be announced and scheduled well in advanced and the titles and abstracts of the talks will make it clear what the topic and level will be.
The seminars are open to all staff members and students at LTU from all divisions and departments, including PhD students, Post Docs and visiting scientists at LTU.
If you wish to give a talk in this series, you are very welcome to do so. In this case, please provide a short abstract and your motivation for your talk in this series and send it to Norbert.Euler@ltu.se. We will then contact you with further details.
List of Speakers (in alphabetical order): Per Bergström, Ove Edlund, Marianna Euler, Norbert Euler, John Fabricius, Adam Jonsson, Elena Miroshnikova, Natasha Samko, Thomas Strömberg, Inge Söderkvist, Peter Wall, and more.