| Autor: |
JUHI JANG, STRAUSS, WALTER A., YILUN WU |
| Předmět: |
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| Zdroj: |
SIAM Journal on Mathematical Analysis; 2023, Vol. 55 Issue 4, p2704-2739, 36p |
| Abstrakt: |
We model a rotating star as a compressible fluid subject to gravitational forces. In almost all the mathematical literature the entropy is considered to be constant. Here we allow it to be variable. We consider a star that steadily rotates differentially around a fixed axis, say the z-axis. We prove the existence of a family of such stars with small angular velocity ω and small entropy variation s and with an equation of state p = Kes ργ. Our analysis reduces to a hyperbolic equation for the modified entropy coupled to an elliptic equation for the modified density, together with a mass constraint. Due to the variable entropy and the consequent loss of both regularity and variational structure, all the methods in the previous literature fail. We develop a new ad hoc perturbative strategy that allows us to construct rotating stars that bifurcate from the nonrotating ones. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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