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Summer 2023
Advanced Differential Equations and Advanced Delay Equations (Internal seminar)
Prof. Dr. Bernold Fiedler,
Dr. Isabelle Schneider
Program
| May 25th, 2023 |
Dr. Isabelle Schneider (Freie Universität Berlin) |
Public lecture as part of the habilitation:
From Pythagoras to Differential Equations: Uncovering the Mysteries of Musical Sound
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| For over two millennia, the relationship between the frequency of a vibrating string
and its length has been studied, starting with Pythagoras' legendary experiments with
the monochord. Many renowned scientists and mathematicians, including Mersenne, Bernoulli,
Euler, Lagrange, d'Alembert, and Helmholtz, have conducted their own investigations on this subject.
Despite the fact that the linear wave equation is frequently employed to model the sound spectrum
of musical instruments, it does not truly reproduce the entire sound spectrum. In this talk, we will embark
on a search for the flageolet harmonics and compare our mathematical findings to what we hear during
live musical experiments. We will investigate recent models for string and woodwind instruments that rely
on partial and delay differential equations, and we will uncover intriguing phenomena such as stiff damping
and hysteresis.
The public lecture will take place at 16:15 in Hörsaal 001, Arnimallee 3.
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| Wednesday, June 28th
Arnimallee 6, Seminar room 025/026 |
Nicola Vassena (University of Leipzig) |
Purely imaginary beasts and where to find them
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Isabelle Schneider (Free University of Berlin) and Jia-Yuan Dai (National Chung Hsing University, Taiwan) |
Groupoids for Pattern-Selective Feedback Stabilization of the Chafee-Infante Equation
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| Thursday, June 29th |
Alejandro Lopez-Nieto (Free University of Berlin) |
PhD Defence: Enharmonic motion: Towards the global dynamics of negative delayed feedback
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| Kadomtsev and Petviashvili initially proposed the KP partial differential equation to study the stability of solutions in the Korteweg-De Vries (KdV) equation for shallow-water waves in channels. Over time, it has become clear that the KP equation and its family of symmetries showcase a rich integrable structure containing many of the currently known integrable systems. However, in recent years the focus has shifted to the study of regular solitons: explicit solutions that correspond to elements of a suitably chosen positive Grassmannian. The talk will discuss the work of Kodama and Williams (2011) regarding the combinatorial classification of KP soliton asymptotics. Their results will take us on an ambitious journey connecting topics as far apart as algebraic combinatorics and partial differential equations.
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Time and Place
Talks usually take place on Thursdays at 15:15, SR 140 in Arnimallee 7, 14195 Berlin
Talks will also be available via Zoom. To obtain the Zoom link please contact Patricia Habasescu
Guests are always welcome!
Archive
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Last change: Jun. 26, 2023
