The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge. Physics contains equations that ...

Maxwell's Equations tell us a lot about electromagnetic interactions and physics. In the mid-1800s, Scottish physicist James Maxwell thought something interesting was going on with electric fields. So ...

Students learn how to write and balance equations originally stated in words. Word Equations and Balancing: The law of conservation of mass is used to provide standard rules for writing and balancing ...

Physics-informed neural networks (PINNs) represent a burgeoning paradigm in computational science, whereby deep learning frameworks are augmented with explicit physical laws to solve both forward and ...

Theoretical physicists have proposed a potential solution to one of the most puzzling problems in modern physics: the black hole singularity paradox. By modifying Einstein's theory of general ...