Date: Friday, October 13, 2017
Location: 1084 East Hall (3:00 PM to 4:00 PM)
Title: Steady state of rotating stars and galaxies
Abstract: The equilibrium shape and density distribution of rotating fluid under selfgravitation is a classical problem in mathematical physics. Maclaurin and Jacobi discovered ellipsoidal rotating fluids with constant density. In the twentieth century, major progress was made by studying steady rotating solutions to the compressible EulerPoisson equations. Two methods of constructing solutions have been used. Assuming a polytropic equation of state p=\rho^\gamma, a variational method, pioneered by the work of Auchmuty and Beals, proves existence of solutions if \gamma>4/3. On the other hand, we present in this talk a perturbative method that establishes specially structured solutions for \gamma>6/5. The method is built upon an old work of Lichtenstein. We also examine analogous results for the VlasovPoisson equations and for magnetic stars.
Files:
Speaker: Yilun Wu
Institution: Brown University
Event Organizer: Peter Miller millerpd@umich.edu
