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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.

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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
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