An evolving space framework for Oseen equations on a moving domain
Analysis of PDEs
2023-10-26 v3
Abstract
This article considers non-stationary incompressible linear fluid equations in a moving domain. We demonstrate the existence and uniqueness of an appropriate weak formulation of the problem by making use of the theory of time-dependent Bochner spaces. It is not possible to directly apply established evolving Hilbert space theory due to the incompressibility constraint. After we have established the well-posedness, we derive and analyse a first order time discretisation of the system.
Cite
@article{arxiv.2106.08312,
title = {An evolving space framework for Oseen equations on a moving domain},
author = {Ana Djurdjevac and Carsten Gräser and Philip J. Herbert},
journal= {arXiv preprint arXiv:2106.08312},
year = {2023}
}