THE LINEARIZED 3D EULER EQUATIONS WITH INFLOW, OUTFLOW

Gung Min Gie; James P. Kelliher; Anna L. Mazzucato

doi:10.57262/ade028-0506-373

THE LINEARIZED 3D EULER EQUATIONS WITH INFLOW, OUTFLOW

Gung Min Gie, James P. Kelliher, Anna L. Mazzucato

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

3 Scopus citations

Abstract

In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components fluid is forced into the domain while on other outflow components fluid is drawn out of the domain. A key tool they used was the linearized Euler equations in vorticity form.

Original language	English (US)
Pages (from-to)	373-412
Number of pages	40
Journal	Advances in Differential Equations
Volume	28
Issue number	5-6
DOIs	https://doi.org/10.57262/ade028-0506-373
State	Published - 2023

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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title = "THE LINEARIZED 3D EULER EQUATIONS WITH INFLOW, OUTFLOW",

abstract = "In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components fluid is forced into the domain while on other outflow components fluid is drawn out of the domain. A key tool they used was the linearized Euler equations in vorticity form.",

author = "Gie, {Gung Min} and Kelliher, {James P.} and Mazzucato, {Anna L.}",

year = "2023",

doi = "10.57262/ade028-0506-373",

language = "English (US)",

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pages = "373--412",

journal = "Advances in Differential Equations",

issn = "1079-9389",

publisher = "Khayyam Publishing, Inc.",

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T1 - THE LINEARIZED 3D EULER EQUATIONS WITH INFLOW, OUTFLOW

AU - Gie, Gung Min

AU - Kelliher, James P.

AU - Mazzucato, Anna L.

PY - 2023

Y1 - 2023

N2 - In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components fluid is forced into the domain while on other outflow components fluid is drawn out of the domain. A key tool they used was the linearized Euler equations in vorticity form.

AB - In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components fluid is forced into the domain while on other outflow components fluid is drawn out of the domain. A key tool they used was the linearized Euler equations in vorticity form.

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JO - Advances in Differential Equations

JF - Advances in Differential Equations

IS - 5-6

ER -

THE LINEARIZED 3D EULER EQUATIONS WITH INFLOW, OUTFLOW

Abstract

All Science Journal Classification (ASJC) codes

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