Explore the significant contributions of Isabelle Gallagher to Mathematical Physics in this 40-minute lecture by Pierre Germain at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into Gallagher's work on important physical problems that demand advanced mathematical solutions, focusing on her key achievements in Fluid Mechanics, particularly the dynamics of rotating fluids, and Kinetic Theory, including the derivation of the Boltzmann equation. Gain insights into how Gallagher's research bridges the gap between complex physical phenomena and sophisticated mathematical approaches.