From the 1 of 4 linked papers with an AI index.
4 papers
Solid-solid phase transitions with space-dependent wells
Elisa Davoli, Jakob Deutsch, Manuel Friedrich +1
The paper studies a second-order Modica‑Mortola functional that models solid‑solid phase transitions in heterogeneous media, allowing space‑dependent energy wells, and proves its Γ…
A regularity result for
Jakob Deutsch, Samuele Riccò
It is well known that distributions whose symmetrized gradient is a bounded Radon measure belong to the space on bounded domains with boundary. In this work, w…
Low regularity potentials in heterogeneous Cahn--Hilliard functionals
Riccardo Cristoferi, Jakob Deutsch, Luca Pignatelli
In this paper, we study the prototypical model of liquid-liquid phase separation, the Cahn-Hilliard functional, in a highly irregular setting. Specifically, we analyze potentials w…
A note on the recovery sequence in the double gradient model for phase transitions
Jakob Deutsch
We investigate the inequality in the double gradient model for phase transitions governed by a Modica--Mortola functional with a double-well potential in two dimensions.…