Non-stationary incompressible linear fluid equations in a moving domain
- 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 time discretisation of the system.
| Author: | Ana Djurdjevac, Carsten Gräser, Philip J. Herbert |
|---|---|
| Document Type: | Article |
| Parent Title (English): | arXiv |
| Year of first publication: | 2021 |
| ArXiv Id: | http://arxiv.org/abs/2106.08312 |
