Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Frisch, Uriel"'
Publikováno v:
Phys. Rev. Fluids 7 (2022) 104610
We chart a singular landscape in the temporal domain of the inviscid Burgers equation in one space dimension for sine-wave initial conditions. These so far undetected complex singularities are arranged in an eye shape centered around the origin in ti
Externí odkaz:
http://arxiv.org/abs/2207.12416
Publikováno v:
Phys. Rev. Research 2, 033202 (2020)
Finite-dimensional, inviscid equations of hydrodynamics, such as the zero-viscosity, one-dimensional Burgers equation or the three-dimensional incompressible Euler equation, obtained through a Fourier-Galerkin projection, thermalise---mediated throug
Externí odkaz:
http://arxiv.org/abs/2001.04819
Publikováno v:
Mon.Not.Roy.Astron.Soc. 505 (2021) 1, L90-L94
It is known that the gravitational collapse of cold dark matter leads to infinite-density caustics that seed the primordial dark-matter halos in the large-scale structure. The development of these caustics begins, generically, as an almost one-dimens
Externí odkaz:
http://arxiv.org/abs/1912.00868
The present paper is a companion to the paper by Villone and Rampf (2017), titled "Hermann Hankel's On the general theory of motion of fluids, an essay including an English translation of the complete Preisschrift from 1861" together with connected d
Externí odkaz:
http://arxiv.org/abs/1707.01882
Autor:
Rampf, Cornelius, Frisch, Uriel
Publikováno v:
MNRAS 471, 671-679 (2017)
Blow-up of solutions for the cosmological fluid equations, often dubbed shell-crossing or orbit crossing, denotes the breakdown of the single-stream regime of the cold-dark-matter fluid. At this instant, the velocity becomes multi-valued and the dens
Externí odkaz:
http://arxiv.org/abs/1705.08456
Autor:
Besse, Nicolas, Frisch, Uriel
Publikováno v:
J. Fluid Mech. (2017) vol.825, pp. 412-478
Cauchy invariants are now viewed as a powerful tool for investigating the Lagrangian structure of three-dimensional (3D) ideal flow (Frisch & Zheligovsky, Commun. Math. Phys., vol. 326, 2014, pp. 499-505, Podvigina et al., J. Comput. Phys., vol. 306,
Externí odkaz:
http://arxiv.org/abs/1701.01592
Publikováno v:
In Journal of Computational Physics 15 January 2022 449
Autor:
Besse, Nicolas, Frisch, Uriel
The 3D incompressible Euler equation is an important research topic in the mathematical study of fluid dynamics. Not only is the global regularity for smooth initial data an open issue, but the behaviour may also depend on the presence or absence of
Externí odkaz:
http://arxiv.org/abs/1603.09219
Publikováno v:
Phys. Rev. E 93, 033109 (2016)
We present theoretical and numerical results for the one-dimensional stochastically forced Burgers equation decimated on a fractal Fourier set of dimension $D$. We investigate the robustness of the energy transfer mechanism and of the small-scale sta
Externí odkaz:
http://arxiv.org/abs/1601.03697
Publikováno v:
MNRAS 452, 1421-1436 (2015)
It is shown here that in a flat, cold dark matter (CDM) dominated Universe with positive cosmological constant ($\Lambda$), modelled in terms of a Newtonian and collisionless fluid, particle trajectories are analytical in time (representable by a con
Externí odkaz:
http://arxiv.org/abs/1504.00032