Damping Versus Oscillations for a Gravitational Vlasov-Poisson System [0.03%]
阻尼与振荡：引力Vlasov-Poisson系统的比较
M Hadžić,G Rein,M Schrecker et al.
M Hadžić et al.
We consider a family of isolated inhomogeneous steady states of the gravitational Vlasov-Poisson system with a point mass at the centre. These are parametrised by the polytropic index k > 1 / 2 , so that the phase space density of the stea...
Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit [0.03%]
非局部作用一维可压缩欧拉方程组的整体解及黏性消逝极限问题研究
José A Carrillo,Gui-Qiang G Chen,Difan Yuan et al.
José A Carrillo et al.
We are concerned with the global existence of finite-energy entropy solutions of the one-dimensional compressible Euler equations with (possibly) damping, alignment forces, and the nonlocal interactions of Newtonian repulsion and quadratic ...
Juhi Jang,Jiaqi Liu,Matthew Schrecker
Juhi Jang
In this paper, we rigorously prove the existence of self-similar converging shock wave solutions for the non-isentropic Euler equations for γ ∈ ( 1 , 3 ] . These solutions are analytic away from the shock interface before collap...
Barbara Roos,Robert Seiringer
Barbara Roos
We study the BCS critical temperature on half-spaces in dimensions d = 1 , 2 , 3 with Dirichlet or Neumann boundary conditions. We prove that the critical temperature on a half-space is strictly higher than on R d , at least at weak coup...
Oscillations in Wave Map Systems and Homogenization of the Einstein Equations in Symmetry [0.03%]
波动映射系统中的振荡以及在对称性中爱因斯坦方程的齐次化问题
André Guerra,Rita Teixeira da Costa
André Guerra
In 1989, Burnett conjectured that, under appropriate assumptions, the limit of highly oscillatory solutions to the Einstein vacuum equations is a solution of the Einstein-massless Vlasov system. In a recent breakthrough, Huneau-Luk (Ann Sci...
Alberto Enciso,Daniel Peralta-Salas
Alberto Enciso
For any (analytic) axisymmetric toroidal domain Ω ⊂ R 3 we prove that there is a locally generic set of divergence-free vector fields that are not topologically equivalent to any magnetohydrostatic (MHS) state in Ω . Each ...
Guido De Philippis,Andrea Marchese,Andrea Merlo et al.
Guido De Philippis et al.
We provide a suitable generalisation of Pansu's differentiability theorem to general Radon measures on Carnot groups and we show that if Lipschitz maps between Carnot groups are Pansu-differentiable almost everywhere for some Radon measures...
Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner-Nordström black holes [0.03%]
无质量Vlasov方程在次极值和极值Reissner-Nordstrom黑洞背景下的衰减与非衰减现象
Max Weissenbacher
Max Weissenbacher
We study the massless Vlasov equation on the exterior of the subextremal and extremal Reissner-Nordström spacetimes. We prove that moments decay at an exponential rate in the subextremal case and at a polynomial rate in the extremal case. ...
Upper Bound for the Ground State Energy of a Dilute Bose Gas of Hard Spheres [0.03%]
硬球稀薄玻色气体基态能量的上限估算
Giulia Basti,Serena Cenatiempo,Alessandro Giuliani et al.
Giulia Basti et al.
We consider a gas of bosons interacting through a hard-sphere potential with radius a in the thermodynamic limit. We derive an upper bound for the ground state energy per particle at low density. Our bound captures the leading term 4 π...
David Fajman,Maximilian Ofner,Zoe Wyatt
David Fajman
We establish the future nonlinear stability of a large class of FLRW models as solutions to the Einstein-Dust system. We consider the case of a vanishing cosmological constant, which, in particular implies that the expansion rate of the res...