Expanding large global solutions of the equations of compressible fluid mechanics

Mahir Hadžić; Juhi Jang

doi:10.1007/s00222-018-0821-1

Expanding large global solutions of the equations of compressible fluid mechanics

Mahir Hadžić^*, Juhi Jang

^*Corresponding author for this work

USC University of Southern California

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

164 Downloads (Pure)

Abstract

Without any symmetry assumptions on the initial data we construct global-in-time unique solutions to the vacuum free boundary three-dimensional isentropic compressible Euler equations when the adiabatic exponent γ lies in the interval (1,5/3] . Our initial data lie sufficiently close to the expanding compactly supported affine motions recently constructed by Sideris and they satisfy the physical vacuum boundary condition.

Original language	English
Pages (from-to)	1205-1266
Journal	INVENTIONES MATHEMATICAE
Volume	214
Issue number	3
Early online date	15 Sept 2018
DOIs	https://doi.org/10.1007/s00222-018-0821-1
Publication status	Published - Dec 2018

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10.1007/s00222-018-0821-1

Expanding large global_HADZIC_Accepted 20 Aug 18_GREEN_AAMAccepted author manuscript, 476 KB

https://arxiv.org/abs/1610.01666

Cite this

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title = "Expanding large global solutions of the equations of compressible fluid mechanics",

abstract = "Without any symmetry assumptions on the initial data we construct global-in-time unique solutions to the vacuum free boundary three-dimensional isentropic compressible Euler equations when the adiabatic exponent γ lies in the interval (1,5/3] . Our initial data lie sufficiently close to the expanding compactly supported affine motions recently constructed by Sideris and they satisfy the physical vacuum boundary condition.",

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AB - Without any symmetry assumptions on the initial data we construct global-in-time unique solutions to the vacuum free boundary three-dimensional isentropic compressible Euler equations when the adiabatic exponent γ lies in the interval (1,5/3] . Our initial data lie sufficiently close to the expanding compactly supported affine motions recently constructed by Sideris and they satisfy the physical vacuum boundary condition.

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Expanding large global solutions of the equations of compressible fluid mechanics

Abstract

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