@article{DjurdjevacGraeserHerbert, author = {Djurdjevac, Ana and Gr{\"a}ser, Carsten and Herbert, Philip J.}, title = {Non-stationary incompressible linear fluid equations in a moving domain}, series = {arXiv}, journal = {arXiv}, 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 time discretisation of the system.}, language = {en} }