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Non-stationary incompressible linear fluid equations in a moving domain (2021)

Djurdjevac, Ana ; Gräser, Carsten ; Herbert, Philip J.

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Publication Date: 2023-02-06

Description: 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: English

Type: article , doc-type:article

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