Summer School ”Rotation and Fluids” took place from 25th to 29th August 2025 in Prague, Czech Republic.

This summer school was organized by Tomas Bodnar from the Czech Technical University in Prague, Sarka Necasova from the Institute of Mathematics of the Czech Academy of Sciences and Giovanni Paolo Galdi from the University of Pittsburgh, USA. Since 2011, when the Prague-Sum series started, this was already the eighth summer school and workshop organized in this format. Based on the previous successful events, the series became quite popular and thus it was a great motivation for us to continue in this tradition and try to make the ”Rotation and Fluids” at least as good at the past summer schools.

As usually our summer school was organized as a multidisciplinary event with topics ranging from theoretical and numerical mathematics up to physics and engineering applications. All presentations and minicourses had a common background and shared interest in different aspects of rotation, its effects and applications in fluid mechanics. The emphasize was on models related to topics originating in environmental, biomedical and industrial applications. The summer course was prepared for graduate students, young scientists, and other interested specialists. Besides of the course lectures, the program included a one day workshop (on Wednesday, August 27) dedicated to shorter, more advanced lectures given either by attending senior scientists or by the summer school students, namely those profiting from the ERCOFTAC support.

Altogether about 60 participants attended the summer school and the associated workshop. From these, more than half were students and young researchers at the beginning of their professional career, some of them benefiting from the ERCOFTAC support allowing them to attend the summer school. This year we had participants from France, Germany, Italy, Spain, Netherlands, Poland, Turkey, Sweden, USA, Korea, Japan and, of course, also Czech Republic.

The summer school was built from 7 minicourses, typically with 4 lectures each, only with one shorter course consisting of 2 lectures. The lecturers, renowned experts in their corresponding fields, came from France, Japan, China and Czech Republic. The alphabetically sorted list of lecturers also shows their current affiliations:

• Claude Cambon, Ecole Centrale de Lyon, LMFA-CNRS, France
• David Gerard-Varet, Universit´e Paris Cit´e, France
• Olivier Glass, Universit´e Paris-Dauphine, France
• Toshiaki Hishida, Nagoya University, Japan
• Alexander Kurganov, Southern University of Science and Technology, China
• David Lannes, Universit´e de Bordeaux, France
• Pavel Rudolf, Brno University of Technology, Czech Republic

Besides of the summer school main courses, a number shorter lectures was presented during the workshop organized in the middle of the week.

Given the general topic of the summer school, the rotation and fluids, this subject was covered from the perspective of physics, mathematical modeling, numerical simulations and real life application.

F​ull report from the event will be published in ERCOFTAC Bulletin and further information can be found on a special web page:
https://prague-sum.com