The conference is dedicated to the theoretical analysis of models in fluid mechanics. This is a vast subject, which has been studied by mathematicians around the world for almost a century. We want to focus on four topics that recently showed a considerable progress. Several inter-nationally recognized experts, who contributed to significant results, have already preliminarily accepted our invitation for plenary lectures. The four mentioned topics are:

1. Blow-up phenomena in partial differential equations governing the evolution of fluids,

2. Non-uniqueness results,

3. Results on fluid-structure interaction and flows in moving domains,

4. Mathematical analysis of recently derived models, e.g. on motion of bi-fluids.

We want to create a fertile ground for discussion and exchange of ideas between participants belonging to different mathematical schools and generations. This is why we aim at inviting both a large number of promising young scholars, and more experienced researchers that are experts in at least one of the above mentioned fields. The conference program will be developed along these lines: it will include a number of talks on “hot” topics, but will also leave room for informal discussion. The meeting will continue the spirit of the Vorticity, Rotation and Symmetry conference series that was organized every three years at CIRM by researchers from three different countries (Czech Republic, France and Germany) with rather distinct mathematical cultures. The last of these conferences took place in October 2020 in the hybrid mode and in a reduced form due to the pandemic. Organizing the conference Mathematics of Fluids in Motion: Recent Results and Trends four years after, we almost completely renew the topics and the list of speakers.