4 papers
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…
Supersonic Gravitational Collapse for Non-Isentropic Gaseous Stars
Christopher Alexander, Mahir HadžiÄ, Matthew Schrecker
We show the existence of a new class of initially smooth spherically symmetric self-similar solutions to the non-isentropic Euler-Poisson system. These solutions exhibit supersonic…
Quantitative phase mixing for Hamiltonians with trapping
Mahir HadžiÄ, Gerhard Rein, Matthew Schrecker +1
We prove quantitative decay estimates of macroscopic quantities generated by the solutions to linear transport equations driven by a general family of Hamiltonians. The associated…