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 ...

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

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 ...

In the fields of physics, mathematics, and engineering, partial differential equations (PDEs) are essential for modeling various phenomena, from heat diffusion to particle motion and wave propagation.

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 ...

The pseudospectra of non-selfadjoint linear ordinary differential operators with variable coefficients are considered. It is shown that when a certain winding number or twist condition is satisfied, ...

The Myhill Lecture Series 2022, "The study of wave interactions: where beautiful mathematical ideas come together" will be delivered by Dr. Gigliola Staffilani, the Abby Rockefeller Mauzé Professor of ...

This is a preview. Log in through your library . Abstract We demonstrate the existence of periodic traveling wave train and traveling front solutions for a diffusive predator-prey system. The analysis ...