Abstract
This chapter gives a number of definitions and mathematical results relating to the notions of trajectories in a regular velocity field. It then recalls certain principles of conservation of continuum mechanics.
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References
H. Cartan. Cours de calcul différentiel. Hermann, 1977.
J.-P. Demailly. Analyse numérique et équations différentielles. EDP Sciences, 2016.
M. Demazure. Catastrophes et bifurcations. Ellipses Paris, 1989.
R. J. DiPerna and P.-L. Lions. Ordinary differential equations, transport theory and Sobolev spaces. Inventiones Mathematicae, 98(3):511–547, 1989.
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Cottet, GH., Maitre, E., Milcent, T. (2022). Mathematical Tools for Continuum Mechanics. In: Level Set Methods for Fluid-Structure Interaction. Applied Mathematical Sciences, vol 210. Springer, Cham. https://doi.org/10.1007/978-3-031-08659-5_2
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DOI: https://doi.org/10.1007/978-3-031-08659-5_2
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-031-08659-5
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