1 citations · 3 across the 10 of their papers we have counts for
10 papers
A critical threshold for the cosmological Euler-Poisson system
David Fajman, Maciej Maliborski, Maximilian Ofner +2
We consider the gravitational Euler-Poisson system with a linear equation of state on an expanding cosmological model of the Universe. The expansion of the spatial sections introdu…
Instability mechanisms on asymptotically AdS black hole backgrounds
Filip Ficek, Maciej Maliborski
We investigate dynamics of the conformal scalar equation with defocusing cubic nonlinearity and Robin boundary conditions on the Reissner-Nordström-anti-de Sitter background. At ce…
Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder
Ficek Filip, Maciej Maliborski
As a first step in exploring time-periodic solutions of the Einstein equations with a negative cosmological constant, we study the cubic conformal wave equation on the Einstein cyl…
Nonlinear oscillations of strings and beams
Filip Ficek, Maciej Maliborski
We investigate the time-periodic solutions to the nonlinear wave and beam equations and uncover their intricate, fractal-like structure. In particular, we identify a new class of l…
New class of time-periodic solutions to the 1D cubic wave equation
Filip Ficek, Maciej Maliborski
In recent papers (arXiv:2407.16507, arXiv:2408.05158) we presented results suggesting the existence of a new class of time-periodic solutions to the defocusing cubic wave equation…
Complex structure of time-periodic solutions decoded in Poincaré-Lindstedt series: the cubic conformal wave equation on
Filip Ficek, Maciej Maliborski
This work explores the rich structure of spherically symmetric time-periodic solutions of the cubic conformal wave equation on . We discover that the families of so…
Instability of nonlinear scalar field on strongly charged asymptotically AdS black hole background
Filip Ficek, Maciej Maliborski
The conformally invariant scalar equation permits the Robin boundary condition at infinity of asymptotically-AdS spacetimes. We show how the dynamics of conformal cubic scalar fiel…
Trees, trunks, and branches -- bifurcation structure of time-periodic solutions to
Filip Ficek, Maciej Maliborski
We propose a systematic approach to analysing the complex structure of time-periodic solutions to the cubic wave equation on an interval with Dirichlet boundary conditions first re…
Periodic Solutions for the 1d Cubic Wave Equation with Dirichlet Boundary Conditions
Filip Ficek, Maciej Maliborski
We study time-periodic solutions for the cubic wave equation on an interval with Dirichlet boundary conditions. We begin by following the perturbative construction of Vernov and Kh…
Phase transition between shock formation and stability in cosmological fluids
David Fajman, Maciej Maliborski, Maximilian Ofner +2
We demonstrate a novel phase transition from stable to unstable fluid behaviour for fluid-filled cosmological spacetimes undergoing decelerated expansion. This transition occurs wh…