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

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 $\Gamma (t)\subset {\mathbb{R}}^{n+1}$. We prove existence and uniqueness of solutions in suitable Hölder spaces.

References in corpus (1)

• An abstract framework for parabolic PDEs on evolving spaces