A regularization-free approach to the Cahn-Hilliard equation with logarithmic potentials

TL;DR

This paper presents a novel regularization-free method to establish the well-posedness of the classical Cahn-Hilliard equation with logarithmic potentials, avoiding common regularization techniques.

Contribution

The authors develop a new approach that ensures well-posedness without regularization, advancing the mathematical understanding of the Cahn-Hilliard equation with logarithmic potentials.

Findings

Successfully proves well-posedness without regularization

Provides a new analytical framework for the Cahn-Hilliard equation

Enhances mathematical tools for phase separation models

Abstract

We introduce a regularization-free approach for the wellposedness of the classic Cahn-Hilliard equation with logarithmic potentials.