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A variational time discretization for th...

Cavalletti, Fabio...

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A variational time discretization for the compressible Euler equations by Cavalletti, Fabio ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	We introduce a variational time discretization for the multi-dimensional gas dynamics equations, in the spirit of minimizing movements for curves of maximal slope. Each timestep requires the minimization of a functional measuring the acceleration of fluid elements, over the cone of monotone transport maps. We prove convergence to measure-valued solutions for the pressureless gas dynamics and the compressible Euler equations. For one space dimension, we obtain sticky particle solutions for the pressureless case.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.1012

Citation

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AMA 11th EditionReferences

Cavalletti, Fabio. A variational time discretization for the compressible Euler equations. Australian National University. September 06, 2023. Accessed November 06, 2024. https://online.provdatabase.com/cite/23800

APA 7th EditionReferences

Cavalletti, Fabio. (2023). A variational time discretization for the compressible Euler equations. Australian National University. https://online.provdatabase.com/cite/23800

Chicago 17th EditionReferences

Cavalletti, Fabio. A variational time discretization for the compressible Euler equations. Australian National University. 2023. https://online.provdatabase.com/cite/23800

HarvardReferences

Cavalletti, Fabio. (2023). A variational time discretization for the compressible Euler equations. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23800. (Accessed 06 November 2024).

Harvard AustraliaReferences

Cavalletti, Fabio, 2023, A variational time discretization for the compressible Euler equations, Australian National University, viewed 06 November 2024, <https://online.provdatabase.com/cite/23800>

MLA 9th EditionWorks Cited

Cavalletti, Fabio. A variational time discretization for the compressible Euler equations. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23800.

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