Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Hadžić, Mahir"'
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 particle trajectories are all trapped in a compact region of phase-spa
Externí odkaz:
http://arxiv.org/abs/2405.17153
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 gravitational implosion in the sense that the density blows-up in fin
Externí odkaz:
http://arxiv.org/abs/2311.18795
Autor:
Hadzic, Mahir
Publikováno v:
Quart. Appl. Math. 81 (2023), 329-365
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 description of stars. We focus on the role of scaling invariances and how the
Externí odkaz:
http://arxiv.org/abs/2306.02445
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 index $k>1/2$, so that the phase space density of the steady state is $C^
Externí odkaz:
http://arxiv.org/abs/2301.07662
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 compactly supported density profiles suitably modulated by the dynami
Externí odkaz:
http://arxiv.org/abs/2212.11420
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 be suitably flattened to obtain examples of spacetimes that dynamical
Externí odkaz:
http://arxiv.org/abs/2112.10826
In the supercritical range of the polytropic indices $\gamma\in(1,\frac43)$ we show the existence of smooth radially symmetric self-similar solutions to the gravitational Euler-Poisson system. These solutions exhibit gravitational collapse in the sen
Externí odkaz:
http://arxiv.org/abs/2107.12056
Publikováno v:
Arch. Rational Mech. Anal. 243, 611--696 (2022)
We consider two classes of steady states of the three-dimensional, gravitational Vlasov-Poisson system: the spherically symmetric Antonov-stable steady states (including the polytropes and the King model) and their plane symmetric analogues. We compl
Externí odkaz:
http://arxiv.org/abs/2102.11672
Using numerical integration, in 1969 Penston [22] and Larson [17] independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotically flat fluid with the isothermal equation of state $p=k\varrho$, $k>0$, and
Externí odkaz:
http://arxiv.org/abs/2011.01013
Autor:
Hadzic, Mahir, Lin, Zhiwu
Upon specifying an equation of state, spherically symmetric steady states of the Einstein-Euler system are embedded in 1-parameter families of solutions, characterized by the value of their central redshift. In the 1960's Zel'dovich [50] and Wheeler
Externí odkaz:
http://arxiv.org/abs/2006.09749