Existence of Magnetic Compressible Fluid Stars

Verfasser / Beitragende:
[Paul Federbush, Tao Luo, Joel Smoller]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 215/2(2015-02-01), 611-631
Format:
Artikel (online)
ID: 605515360
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024 7 0 |a 10.1007/s00205-014-0790-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00205-014-0790-5 
245 0 0 |a Existence of Magnetic Compressible Fluid Stars  |h [Elektronische Daten]  |c [Paul Federbush, Tao Luo, Joel Smoller] 
520 3 |a 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 $${\mathbb{R}^3}$$ R 3 , and obtaining the estimates of the Green's function for this elliptic equation by transforming it to 5-Laplacian. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
700 1 |a Federbush  |D Paul  |u Department of Mathematics, University of Michigan, Ann Arbor, USA  |4 aut 
700 1 |a Luo  |D Tao  |u Department of Mathematics and Statistics, Georgetown University, Washington, USA  |4 aut 
700 1 |a Smoller  |D Joel  |u Department of Mathematics, University of Michigan, Ann Arbor, USA  |4 aut 
773 0 |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 215/2(2015-02-01), 611-631  |x 0003-9527  |q 215:2<611  |1 2015  |2 215  |o 205 
856 4 0 |u https://doi.org/10.1007/s00205-014-0790-5  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00205-014-0790-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Federbush  |D Paul  |u Department of Mathematics, University of Michigan, Ann Arbor, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Luo  |D Tao  |u Department of Mathematics and Statistics, Georgetown University, Washington, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Smoller  |D Joel  |u Department of Mathematics, University of Michigan, Ann Arbor, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 215/2(2015-02-01), 611-631  |x 0003-9527  |q 215:2<611  |1 2015  |2 215  |o 205