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Global expanding solutions of compressible Euler equations with small initial densities

Parmeshwar, S; Hadžić, M; Jang, J; (2020) Global expanding solutions of compressible Euler equations with small initial densities. Quarterly of Applied Mathematics 10.1090/qam/1580. (In press). Green open access

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Abstract

We prove the existence of a large class of global-in-time expanding solutions to vacuum free boundary compressible Euler flows without relying on the existence of an underlying finite-dimensional family of special affine solutions of the flow.

Type: Article
Title: Global expanding solutions of compressible Euler equations with small initial densities
Open access status: An open access version is available from UCL Discovery
DOI: 10.1090/qam/1580
Publisher version: https://doi.org/10.1090/qam/1580
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10117123
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