We establish global regularity and stability for the irrotational relativistic Euler equations with
equation of state ̄ p= K ̄ ρ p¯= K ρ¯, where 0< K< 1/3 0< K< 1/3, for small initial data in the …

We consider general initial data for the Einstein scalar-field system on a closed $3 $-
manifold $(M,\gamma) $ which is close to data for a Friedman-Lema\^ itre-Robertson-Walker …

In this paper, we study cosmological solutions to the Einstein–Euler equations. We first
establish the future stability of nonlinear perturbations of a class of homogeneous solutions …

This research focuses on scalar field cosmologies with a generalized harmonic potential.
Our attention is centred on the anisotropic LRS Bianchi I and III metrics, Bianchi V metrics …

We establish the future nonlinear stability of a large class of FLRW models as solutions to
the Einstein-Dust system. We consider the case of a vanishing cosmological constant …

Spatially homogeneous Friedmann–Lemaître–Robertson–Walker (FLRW) solutions
constitute an infinite dimensional family of explicit solutions of the Einstein–massless Vlasov …

Motivated by recent problems in mathematical cosmology, in which temporal averaging
methods are applied in order to analyse the future asymptotics of models which exhibit …

We analyse spatially homogenous cosmological models of locally rotationally symmetric
Bianchi type III with a massive scalar field as matter model. Our main result concerns the …

We study the small perturbations of the 1+ 3-dimensional Milne model for the Einstein–Klein–
Gordon (EKG) system. We prove the nonlinear future stability, and show that the perturbed …

We prove nonlinear Lyapunov stability of a family of “(n+ 1)”-dimensional cosmological
models of general relativity locally isometric to the Friedman–Lemaître–Robertson–Walker …