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arXiv · 1407.2786

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

Charles M. Elliott·Hans Fritz
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Abstract

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

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Charles M. Elliott, Hans Fritz. 2014-07-10. Time-periodic solutions of advection-diffusion equations on moving hypersurfaces. https://arxiv.org/abs/1407.2786

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