Caltech/UCLA/USC Joint Analysis Seminar
UCLA, room MS6221
In this talk we will review recent progress on the local and global dynamics of Newtonian stars governed by the compressible Euler-Poisson system and discuss mathematical constructions of slowly rotating star solutions bifurcating from the non-rotating ones. In the case of non-isentropic stars, we introduce a new ad hoc perturbative strategy to overcome the loss of regularity and variational structure caused by the variable entropy. If time permits, we will also discuss recent uniqueness and orbital stability of McCann's uniformly rotating binary star solutions and its application to binary galaxies. The talk is based on joint works with T. Makino, W. Strauss, Y. Wu and J. Seok.