Convection-Diffusion Equations with Random Initial Conditions
Analysis of PDEs
2018-10-29 v2
Abstract
We consider an evolution equation generalising the viscous Burgers equation supplemented by an initial condition which is a homogeneous random field. We develop a non-linear framework enabling us to show the existence and regularity of solutions as well as their long time behaviour.
Cite
@article{arxiv.1710.00121,
title = {Convection-Diffusion Equations with Random Initial Conditions},
author = {Miłosz Krupski},
journal= {arXiv preprint arXiv:1710.00121},
year = {2018}
}