Minimizers and blowup in relativistic Hartree-Fock-Bogoliubov theory
Seminar Room 1, Newton Institute
AbstractIn this talk, we will discuss both time-independent and time-dependent models of Hartree-Fock-Bogoliubov (HFB) type that arise in the description of relativistic self-gravitating fermionic systems. In particular, we will examine the variational calculus attached to this problem, as well as results on the singularity formation for the corresponding dynamical equations of HFB type. Time permitting, we will also discuss some open problems too. This is joint work with M. Lewin, C. Hainzl, and B. Schlein.
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