Fractional high order thin film equation: gradient flow approach
Analysis of PDEs
2020-07-02 v1
Abstract
We prove existence of weak solutions of a fractional thin film type equation in any space dimension and for any order of the equation. The proof is based on a gradient flow technique in the space of Borel probability measures endowed with the Wasserstein distance.
Cite
@article{arxiv.2007.00459,
title = {Fractional high order thin film equation: gradient flow approach},
author = {Stefano Lisini},
journal= {arXiv preprint arXiv:2007.00459},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1606.06787