3 papers
math.AP2025
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…
math.AP2024
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…
math.AP2024
Nonradial stability of expanding Goldreich-Weber stars
Mahir HadžiÄ, Juhi Jang, King Ming Lam
Goldreich-Weber solutions constitute a finite-parameter of expanding and collapsing solutions to the mass-critical Euler-Poisson system. Two subclasses of this family correspond to…