On April 27-28, 2017 the workshop “Women in PDEs @ Karlsruhe” will take place. The aim of this workshop is to provide a platform to bring together students of mathematics (in Bachelor or Master programs), young researchers (PhD students and postdocs) and established female mathematicians from academia and industry working on partial differential equations (PDEs). Outstanding invited speakers will give talks on their current research topics. A panel discussion will give the possibility to discuss questions not only concerning research but also career choices/planning and practical questions of managing career and family.
From October 12th till October 14th the CRC workshop on Time Integration of PDEs 2016 took place in the Kurhaus Trifels in Annweiler, close to the castle Trifels. The about 20 participants informed each other by giving talks on their latest results of their research. The main topics were Krylov methods, highly oscillatory problems, alternating direction implicit methods as well as locally explicit and implicit time integration. The breaks between the sessions were used for many fruitful discussions and exchanges of ideas and also for doing undisturbed research in pairs or small groups. The wheather was well-disposed to us, which we used for a beautiful hiking tour on Thursday afternoon. The productive workshop ended with a project discussion on Friday afternoon.
Last week I had the pleasure to participate in the “Nonlinear PDEs and Mathematical Physics workshop” at the Tsinghua Sanya International Mathematics Forum which took place in Sanya, the main city of China’s province Hainan.
It is an island at the most southern point of China and quite close to Macao, Hongkong or Vietnam. Hainan is a tourist region and all participants of the workshop could benefit (but sometimes also suffer) from the warm temperatures around 28 degree (Celsius). In summer it is even warmer so that we were very glad to have this conference at the beginning of December.
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From the 8th until the 11th of November a group of 13 people from the KIT went to Innsbruck to participate in the 9th Workshop on Numerical Analysis of Evolution Equations. It took place at the Bildungsinstitut Grillhof in Vill, just outside Innsbruck. The nice location with amazing views on Innsbruck and its surrounding mountains and the great food provided the perfect environment for a successful workshop.
What was the workshop about? If you look up the meaning of “evolution equation” on the Encyclopedia of Mathematics, you will come across the following definition:
Together with one of the organizers, Roland Schnaubelt, and the invited speaker Peer Kunstmann, Martin Spitz and I participated in the 10th Euro-Maghrebian Workshop on Evolution Equations. This series of workshops was initiated in 1999 with the aim of bringing together mathematicians from Europe and the Maghreb working on evolution equations, the first one having taken place in Marrakesh, Morocco. This time the scientists met in the small city Blaubeuren, Germany, located close to Ulm in the eastern Swabian Alb. The location of the workshop was the Heinrich-Fabri Institute of the university of Tübingen. It provided us with pleasant accommodation and a well-equipped lecture room. During the breaks many lively discussions between the participants developed and the nature in the surrounding, including the famous Blautopf, invited to go for walks.
Evolution equations, the topic of the workshop, arise naturally in many sciences like physics, chemistry and biology. They appear whenever the time rate of change of a quantity (e.g. a temperature, a mass concentration or a density of a population) depends only on the present state of the quantity. This covers a wide range of natural phenomena and leads to many different scientific questions.
During the workshop three lecture series were held, each of them consisting of three talks. Thierry Cazenave from Paris spoke about Finite time blowup in nonlinear heat, Schrödinger, and Ginzburg-Landau equation. He talked about the analysis of the first two equations and how to combine the properties of their solutions in the investigation of the solutions to the last equation. Mourad Choulli from Metz gave a lecture series about Elliptic and parabolic Cauchy problems. He was mainly concerned with stability estimates for the elliptic case and the extension of their proofs to the more complicated parabolic situation. Jürgen Saal from Düsseldorf gave insights into Systematizing the maximal regularity approach to quasilinear mixed order systems. He talked about the Newton polygon approach and anisotropic function spaces and their application to free boundary value problems. These three minicourses were accompanied by nine invited lecturers and about 20 contributed talks by the participants from Europe and Northern Africa on various topics concerning evolution equations, functional analysis, partial differential equations and inverse problems.