Burgers equation in the adhesion model
Analysis of PDEs
2019-11-13 v1 Probability
Abstract
We prove the existence and uniqueness of a classical solution to a multidimensional non-potential stochastic Burgers equation with H\"older continuous initial data. Our motivation is the adhesion model in the theory of formation of the large-scale structure of the universe. Importantly, we drop the assumption on the potentiality of the velocity flow that has been questioned in physics literature.
Cite
@article{arxiv.1911.04515,
title = {Burgers equation in the adhesion model},
author = {Yuri Gliklikh and Evelina Shamarova},
journal= {arXiv preprint arXiv:1911.04515},
year = {2019}
}