On Existence and Properties of Rotating Star Solutions to the Euler-Poisson Equations.

Euler-Poisson Equations;Rotating Star Solutions;Rotating Planets With Core;Non-isentropic Equation of State;Calculus of Variations;Concentration Compactness;Mathematics;Science;Applied and Interdisciplinary Mathematics

Wu, YilunMiller, Peter D. ;

University of Michigan

关键词: Euler-Poisson Equations;    Rotating Star Solutions;    Rotating Planets With Core;    Non-isentropic Equation of State;    Calculus of Variations;    Concentration Compactness;    Mathematics;    Science;    Applied and Interdisciplinary Mathematics;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/109012/yilunwu_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

The Euler-Poisson equations are used in astrophysics to model rotating gaseous stars. Auchmuty and Beals in 1971 first found a family of rotating star solutions by solving a variational free boundary problem. A great many results followed to generalize the solutions to more diverse situations. Recent interests in extrasolar planet structures require extension of the picture to include a solid rocky core together with its gravitational potential. In this dissertation, we discuss various extensions of the classical rotating star results to incorporate a solid core. We also study the effect of a non-isentropic equation of state on the structure of the rotating star solutions.