Seminar Series in Mathematics and its Applications
Division of Mathematics, Luleå University of
Technology, Sweden
Preliminary Details of Future Talks
Future Seminars in Alphabetical Order:

Speaker: Ove Edlund, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, 19 April 2017
Place: E246
Title: To be announced
Abstract: To be announced

Speaker: Marianna Euler, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, 31 May 2017
Place: E246
Title: Integrating Factors and Conservaton Laws for Differential Equations
Abstract:
We describe a method by which it is possible to systematically construct integrating factors
and conserved quantities (conservation laws) for nonlinear differential equations
(both ordinary and partial differential equations). The method is based on symmetry analysis
and can, in principle, be applied to any differential equation or system of equations. Some examples
are given.

Speaker: Norbert Euler, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, 8 March 2017
Place: E243
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.

Speaker: Adam Jonsson, Division of Mathematics, LTU
Date and Time: 5 April 2017
Place: E246
Title: An Application of Classical Analysis to Intertemporal Choice
Abstract:
There are many problems of longterm management and control arising in engineering, economics,
and other areas, where it is not desirable to set an exact time horizon or terminal date.
For example, in finding optimal replacement times for shortlived technical equipment, it is
often more natural and convenient to place the time horizon at infinity than to specify a
finite horizon. The infinitehorizon model leads to difficulties however, as concepts like
maximal aggregate payoff or utility need to be replaced with new ones. In this talk I will
discuss some philosophical and computational aspects of these difficulties and show how
ideas from classical analysis can be used to partially resolve them.

Speaker: Niklas Lundström, Department of Mathematics and Statistics, Umeå University
Date and Time: Wednesday 15:00, 22 March 2017
Place: E246
Title: To be announced
Abstract: To be announced

Speaker: Natasha Samko, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, 17 May 2017
Place: E246
Title: To be announced
Abstract: To be announced

Speaker: Thomas Strömberg, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, 3 May 2017
Place: E246
Title: To be announced
Abstract: To be announced

Speaker: Peter Wall, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, 14 June 2017
Place: To be announced
Title: To be announced
Abstract: To be announced
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