Phase-asymptotic stability of transition front solutions in Cahn-Hilliard equations and systems Abstract I will discuss the asymptotic behavior of perturbations of transition front solutions arising in Cahn–Hilliard equations and systems on $\mathbb{R}$ and $\mathbb{R}^n$.  Such equations arise naturally in the study of phase separation processes, where a two-phase process can often be modeled by a … Continue reading “Peter Howard (Texas A&M)”

Abstract The mathematical treatment of realistic physics and engineering problems presents a number of difficulties, requiring, in many cases, the numerical solution of linear and nonlinear differential equations of high complexity. It is generally desirable to use numerical methods whose errors decrease rapidly with the refinement of the discretizations – so as to be able to achieve, … Continue reading “Oscar P. Burno (Caltech)”