27 citations · 202 across the 30 of their papers we have counts for
26 papers · 1 filter
Nonlinear stability of the Larson-Penston collapse
Yan Guo, Mahir Hadzic, Juhi Jang +1
We prove nonlinear stability of the Larson-Penston family of self-similarly collapsing solutions to the isothermal Euler-Poisson system. Our result applies to radially symmetric pe…
On quantitative linear gravitational relaxation
Mahir Hadzic, Matthew Schrecker
We prove quantitative decay rates for the linearised Vlasov-Poisson system around compactly supported equilibria. More precisely, we prove decay of the gravitational potential indu…
On absence of embedded eigenvalues and stability of BGK waves
Mahir Hadzic, Matias Moreno
We consider space-periodic and inhomogeneous steady states of the one-dimensional electrostatic Vlasov-Poisson system, known as the Bernstein-Greene-Kruskal (BGK) waves. We prove t…
Star dynamics: collapse vs. expansion
Mahir Hadzic
We review a series of recent results on global dynamic properties of radially symmetric self-gravitating compressible Euler flows, which naturally arise in the mathematical descrip…
Damping versus oscillations for a gravitational Vlasov-Poisson system
Mahir Hadzic, Gerhard Rein, Matthew Schrecker +1
We consider a family of isolated inhomogeneous steady states to the gravitational Vlasov-Poisson system with a point mass at the centre. They are parametrised by the polytropic ind…
Naked singularities in the Einstein-Euler system
Yan Guo, Mahir Hadzic, Juhi Jang
In 1990, based on numerical and formal asymptotic analysis, Ori and Piran predicted the existence of self-similar spacetimes, called relativistic Larson-Penston solutions, that can…