On Existence and Properties of Rotating Star Solutions to the Euler-Poisson Equations.
dc.contributor.author | Wu, Yilun | en_US |
dc.date.accessioned | 2014-10-13T18:20:43Z | |
dc.date.available | NO_RESTRICTION | en_US |
dc.date.available | 2014-10-13T18:20:43Z | |
dc.date.issued | 2014 | en_US |
dc.date.submitted | en_US | |
dc.identifier.uri | https://hdl.handle.net/2027.42/109012 | |
dc.description.abstract | 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. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Euler-Poisson Equations | en_US |
dc.subject | Rotating Star Solutions | en_US |
dc.subject | Rotating Planets With Core | en_US |
dc.subject | Non-isentropic Equation of State | en_US |
dc.subject | Calculus of Variations | en_US |
dc.subject | Concentration Compactness | en_US |
dc.title | On Existence and Properties of Rotating Star Solutions to the Euler-Poisson Equations. | en_US |
dc.type | Thesis | en_US |
dc.description.thesisdegreename | PhD | en_US |
dc.description.thesisdegreediscipline | Applied and Interdisciplinary Mathematics | en_US |
dc.description.thesisdegreegrantor | University of Michigan, Horace H. Rackham School of Graduate Studies | en_US |
dc.contributor.committeemember | Adams, Fred C. | en_US |
dc.contributor.committeemember | Smoller, Joel A. | en_US |
dc.contributor.committeemember | Burns Jr, Daniel M. | en_US |
dc.contributor.committeemember | Bloch, Anthony M. | en_US |
dc.contributor.committeemember | Miller, Peter D. | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/109012/1/yilunwu_1.pdf | |
dc.owningcollname | Dissertations and Theses (Ph.D. and Master's) |
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