Time-periodic solutions of advection-diffusion equations on moving hypersurfaces
classification
🧮 math.AP
keywords
solutionsadvection-diffusionequationsmovingtime-periodicdimensionalexistencegamma
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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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