Workshop — New Trends and Emerging Techniques in Compressible Fluid Dynamics

Compressible flows are ubiquitous in nature with a broad spectrum of applications and they are important objects of the study in mathematical and physical sciences and engineering. Despite the old history and physical importance, mathematical understanding of the system of partial differential equations describing dynamics of inviscid compressible fluids such as the Euler equations remain challenging. In recent years, several deep and unexpected results were obtained by using a variety of elaborate techniques from distinct communities, which generated significant interests in the field and led to major advances in the mathematical study of inviscid compressible flows including non-uniqueness of weak solutions, the stability of very rough solutions, the formation of singularities, and the study of free boundary problems. The workshop brings together experts in compressible fluid dynamics from diverse communities, creates an inclusive atmosphere where the latest developments, ideas and techniques are vigorously discussed, and provides a unique opportunity to foster a new community with a large set of skills. Another important goal of the workshop is to introduce early career researchers to this active area of research and to provide a training and networking opportunity.