3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2024
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…