Time-periodic solutions of advection-diffusion equations on moving hypersurfaces
Analysis of PDEs
2014-07-11 v1
Abstract
In this paper we study time-periodic solutions to advection-diffusion equations of a scalar quantity on a periodically moving -dimensional hypersurface . We prove existence and uniqueness of solutions in suitable H\"older spaces.
Keywords
Cite
@article{arxiv.1407.2786,
title = {Time-periodic solutions of advection-diffusion equations on moving hypersurfaces},
author = {Charles M. Elliott and Hans Fritz},
journal= {arXiv preprint arXiv:1407.2786},
year = {2014}
}