The study of quantum dynamics in conjunction with nonlinear Schrödinger equations (NLS) sits at the confluence of mathematical physics, quantum mechanics and nonlinear analysis. This field ...

Fluid dynamics, a cornerstone of applied mathematics and engineering, investigates the behaviour of fluids in motion. Within this broad field, active scalar equations play a pivotal role by ...

This is a preview. Log in through your library . Abstract In this work, we show evidence of the existence of singularities developing in finite time for a class of contour dynamics equations depending ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern ...