Huy Nguyen, Brown University, Mathematical Aspects of Free-boundary Problems in Fluid Mechanics
ZoomFree-boundary problems are partial differential equations in which the unknown function and its domain must be simultaneously determined. They arise ubiquitously as mathematical models for phenomena in many fields, most notably in physics, biology and finance. Free boundary problems are typically highly nonlinear and nonlocal in nature, making their analysis challenging. I will discuss two fundamental…