Potential theory lies at the intersection of analysis and geometry, concerned with harmonic, subharmonic and superharmonic functions, and the associated notions of capacity, equilibrium measures and ...
The Navier-Stokes equations form the cornerstone of mathematical fluid dynamics, describing the motion of viscous, incompressible or compressible fluids. These nonlinear partial differential equations ...
Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...