1 citations · 3 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…