The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound ...

Stability theory occupies a central role in the analysis of differential equations and wave equations, serving as the cornerstone for understanding the long‐term behaviour of dynamical systems. At its ...

This work establishes the first asymptotic stability result for multi-wave patterns in damped wave equations with partially linearly degenerate flux. The authors prove that global solutions converge ...

A while back, [Chris Lu] was studying how analog circuits, specifically op-amps can be used to perform mathematical operations and wondered if they could be persuaded to solve differential equations, ...

That enables the calculation of both wave-ness and particle-ness with far more precision. By measuring the coherence in a system, in fact, it becomes possible to calculate a quantum object's level of ...

MIT researcher Ramin Hasani solved the computation-intensive differential equation, which enables an algorithm system that can adapt to evolving patterns. Researchers at the Massachusetts Institute of ...