An evolving space framework for Oseen equations on a moving domain

Djurdjevac A, Gräser C, Herbert PJ (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Mathematical Modelling and Numerical Analysis EDP Sciences

Book Volume: 57

Pages Range: 3113-3138

Journal Issue: 5

DOI: 10.1051/m2an/2023074

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.

Authors with CRIS profile

Carsten Gräser Professur für Wissenschaftliches Rechnen

Involved external institutions

Freie Universität Berlin DE Germany (DE) University of Sussex GB United Kingdom (GB)

How to cite

APA:

Djurdjevac, A., Gräser, C., & Herbert, P.J. (2023). An evolving space framework for Oseen equations on a moving domain. Mathematical Modelling and Numerical Analysis, 57(5), 3113-3138. https://dx.doi.org/10.1051/m2an/2023074

MLA:

Djurdjevac, Ana, Carsten Gräser, and Philip J. Herbert. "An evolving space framework for Oseen equations on a moving domain." Mathematical Modelling and Numerical Analysis 57.5 (2023): 3113-3138.

BibTeX: Download