This course presents the Hilbert space solution theory of a class of operator equations involving time-differentiation (evolutionary equations). This class is comprehensive in the sense that it covers all typical models of mathematical physics such as acoustics, thermodynamics, visco-elastics, electrodynamics, quantum dynamics as well as systems describing various couplings of such model equations in a unified Hilbert space framework. It extends the typical problem classes accessible via a classical evolution equation approach to so-called differential-algebraic systems. In order to make the theoretical framework easily accessible, the course will to a large extent be reviewing the needed results from Hilbert space theory on which our approach to evolutionary equations is based. In later parts of the course we shall focus on specific applications of the approach to problems of mathematical physics and engineering.
Period
11-08-2014 - 15-07-2014 (-3 weeks)
Target group
Prerequisities: Partial differential equations and numerical analysis.
Course aim
The most important aims of the Summer School are to develop post-graduates scientific readiness and to offer students the possibility to study in a modern, scientific environment and to create connections to the international science community.
Credits
3.0 ECTS creditsObligatory attendance at lectures, and completing the exercises.Grading: Pass/fail
Course fee
EUR 0[Convert to USD]Participating the Summer School is free of charge, but student have to cover the costs of own travel, accommodation and meals at Jyvskyl.
Course leader
Coordinator: Dr. Sanna Mnkl (University of Jyvskyl, Finland)Lecturer: Seniorprofessor Rainer Picard (Mathematik Institut fr Analysis, Dresden, Germany)
Scholarships
The 24th Jyvskyl Summer School is not able to grant any Summer School students financial support. In order to ensure your participation, we recommend that you take steps to secure your own funding, for example, by turning first to your home institution
University of Jyvaskyla Faculty of Mathematics and Science and Faculty of Information Technology
Address: Jyvaskyla Summer School, Faculty of Mathematics and Science P.O.Box 35 (YK312), FIN-40014 University of Jyvaskyla, Finland
Postal code: FIN-40014
City: Jyvaskyla
Country: Finland
Website: http://www.jyu.fi/summerschool
E-mail: jss@jyu.fi
Phone: +358505818351
COM2: A Short Course on Evolutionary Equations
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Diverse
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2014-02-03, 00:00
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2025-09-29, 17:01
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Maria Dumitru