Existence of Magnetic Compressible Fluid Stars

Paul FEDERBUSH; Tao LUO; Joel SMOLLER

doi:10.1007/s00205-014-0790-5

Existence of Magnetic Compressible Fluid Stars

Paul FEDERBUSH
, Tao LUO^*
, Joel SMOLLER

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

19 Citations (Scopus)

Abstract

The existence of magnetic star solutions which are axi-symmetric stationary solutions for the Euler–Poisson system of compressible fluids coupled to a magnetic field is proved in this paper by a variational method. Our method of proof consists in deriving an elliptic equation for the magnetic potential in cylindrical coordinates in R³, and obtaining the estimates of the Green’s function for this elliptic equation by transforming it to 5-Laplacian.

Original language	English
Pages (from-to)	611-631
Journal	Archive for Rational Mechanics and Analysis
Volume	215
Issue number	2
Online published	2 Sept 2014
DOIs	https://doi.org/10.1007/s00205-014-0790-5
Publication status	Published - Feb 2015
Externally published	Yes

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title = "Existence of Magnetic Compressible Fluid Stars",

abstract = "The existence of magnetic star solutions which are axi-symmetric stationary solutions for the Euler–Poisson system of compressible fluids coupled to a magnetic field is proved in this paper by a variational method. Our method of proof consists in deriving an elliptic equation for the magnetic potential in cylindrical coordinates in R3, and obtaining the estimates of the Green{\textquoteright}s function for this elliptic equation by transforming it to 5-Laplacian.",

author = "Paul FEDERBUSH and Tao LUO and Joel SMOLLER",

year = "2015",

month = feb,

doi = "10.1007/s00205-014-0790-5",

language = "English",

volume = "215",

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journal = "Archive for Rational Mechanics and Analysis",

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T1 - Existence of Magnetic Compressible Fluid Stars

AU - FEDERBUSH, Paul

AU - LUO, Tao

AU - SMOLLER, Joel

PY - 2015/2

Y1 - 2015/2

N2 - The existence of magnetic star solutions which are axi-symmetric stationary solutions for the Euler–Poisson system of compressible fluids coupled to a magnetic field is proved in this paper by a variational method. Our method of proof consists in deriving an elliptic equation for the magnetic potential in cylindrical coordinates in R3, and obtaining the estimates of the Green’s function for this elliptic equation by transforming it to 5-Laplacian.

AB - The existence of magnetic star solutions which are axi-symmetric stationary solutions for the Euler–Poisson system of compressible fluids coupled to a magnetic field is proved in this paper by a variational method. Our method of proof consists in deriving an elliptic equation for the magnetic potential in cylindrical coordinates in R3, and obtaining the estimates of the Green’s function for this elliptic equation by transforming it to 5-Laplacian.

UR - https://www.scopus.com/pages/publications/85027938661

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85027938661&origin=recordpage

U2 - 10.1007/s00205-014-0790-5

DO - 10.1007/s00205-014-0790-5

M3 - RGC 21 - Publication in refereed journal

SN - 0003-9527

VL - 215

SP - 611

EP - 631

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 2

ER -

Existence of Magnetic Compressible Fluid Stars

Abstract

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