A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

Finite element methods (FEM) have become a cornerstone in simulating the interaction between free fluid flow and flow through porous media. In the context of Stokes-Darcy flow problems, FEM provides a ...

The study of free boundary problems in the Navier-Stokes equations addresses the subtle interplay between the dynamics of viscous, incompressible fluids and the evolution of interfaces whose locations ...