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arXiv:1407.2786 [math.AP]AbstractReferencesReviewsResources

Time-periodic solutions of advection-diffusion equations on moving hypersurfaces

Charles M. Elliott, Hans Fritz

Published 2014-07-10Version 1

In this paper we study time-periodic solutions to advection-diffusion equations of a scalar quantity $u$ on a periodically moving $n$-dimensional hypersurface $\Gamma(t) \subset \mathbb{R}^{n+1}$. We prove existence and uniqueness of solutions in suitable H\"older spaces.

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