4 papers
Future global stability of Maxwell-Jüttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes
Robert M. Strain, Martin Taylor, Renato Velozo Ruiz
In this work we study the general relativistic massless Boltzmann equation on Friedmann-Lemaître-Robertson-Walker spacetimes with spatial topology in the linear and…
Phase mixing and the Vlasov equation in cosmology
Martin Taylor, Renato Velozo Ruiz
We consider the Vlasov equation on slowly expanding isotropic homogeneous tori, described by the Friedmann--Lemaître--Robertson--Walker cosmological spacetimes. For expansion rate…
Quasilinear wave equations on Kerr black holes in the full subextremal range
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove global existence, boundedness and decay for small data solutions to a general class of quasilinear wave equations on Kerr black hole backgrounds in the full sub-extre…
Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove global existence and decay for small-data solutions to a class of quasilinear wave equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in pa…