Stabilization of solutions to a model of Langmuir-Blodgett films
Analysis of PDEs
2026-03-18 v1
Abstract
We show stabilisation of solutions to one-dimensional advective Cahn-Hilliard equation modeling the Langmuir-Blodgett thin films. This problem has the structure of a gradient flow perturbed by a linear term . Through application of an abstract result by Carvalho-Langa-Robinson, we show that for small the equation has the structure of gradient flow in a weak sense. Combining this with the finite number of steady states implies stabilization of solutions.
Keywords
Cite
@article{arxiv.2603.16787,
title = {Stabilization of solutions to a model of Langmuir-Blodgett films},
author = {Marco Morandotti and Piotr Rybka and Glen Wheeler},
journal= {arXiv preprint arXiv:2603.16787},
year = {2026}
}