Maximal regularity of Stokes problem with dynamic boundary condition -- Hilbert setting
Analysis of PDEs
2025-05-23 v2 Dynamical Systems
Abstract
For the evolutionary Stokes problem with dynamic boundary conditions, we show the maximal regularity of weak solutions in time. Due to the characterization of -sectorial operators on Hilbert spaces, the proof reduces to identifying the appropriate functional analytic setting and proving that the corresponding operator is sectorial, i.e., that it generates an analytic semigroup.
Cite
@article{arxiv.2308.01616,
title = {Maximal regularity of Stokes problem with dynamic boundary condition -- Hilbert setting},
author = {Tomáš Bárta and Paige Davis and Petr Kaplický},
journal= {arXiv preprint arXiv:2308.01616},
year = {2025}
}