TY - JOUR
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.
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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 -