The study of Lagrangian equations and gradient estimates occupies a critical niche at the intersection of partial differential equations, differential geometry, and variational calculus. Lagrangian ...

This post has been sitting in my mind for quite some time. Really, it is about mechanics - not about pendulums. What is the goal in mechanics (classical mechanics, if you like)? Generally, it is to ...

About 250 years ago, mathematicians wrote the first equations describing where the James Webb Space Telescope, launched on Christmas Day 2021, now resides. Webb will stay put for around 20 years at ...