Suppressing thermalization and constructing weak solutions in truncated inviscid equations of hydrodynamics: Lessons from the Burgers equation

Autor: Sergey Nazarenko, Samriddhi Sankar Ray, Nicolas Besse, Sugan D. Murugan, Uriel Frisch

Publikováno v: Physical Review Research
Physical Review Research, American Physical Society, 2020, 2 (3), ⟨10.1103/PhysRevResearch.2.033202⟩
Physical Review Research, American Physical Society, 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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b0697573cb22ee1165a5a41f03f7c68
https://doi.org/10.1103/physrevresearch.2.033202

A contemporary look at Hermann Hankel's 1861 pioneering work on Lagrangian fluid dynamics

Autor: Uriel Frisch, Gerard Emile Grimberg, Barbara Villone

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5689c688b26264ea69d44a737b72fdb
http://arxiv.org/abs/1707.01882

Shell-crossing in quasi-one-dimensional flow

Autor: Cornelius Rampf, Uriel Frisch

Publikováno v: Monthly Notices of the Royal Astronomical Society
Monthly Notices of the Royal Astronomical Society, Oxford University Press (OUP): Policy P-Oxford Open Option A, 2017, 471 (1), pp.671-679. ⟨10.1093/mnras/stx1613⟩
Mon.Not.Roy.Astron.Soc.
Mon.Not.Roy.Astron.Soc., 2017, 471 (1), pp.671-679. ⟨10.1093/mnras/stx1613⟩
Mon.Not.Roy.Astron.Soc., 2017, 471 (1), pp.671-679. 〈10.1093/mnras/stx1613〉

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73fff887305368f47aa736f7556a81ad
https://hal.archives-ouvertes.fr/hal-01582412

A constructive approach to regularity of Lagrangian trajectories for incompressible Euler flow in a bounded domain

Autor: Uriel Frisch, Nicolas Besse

Publikováno v: Communications in Mathematical Physics

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2bc156ee118e591ba5cbdb8690ddfb5
http://arxiv.org/abs/1603.09219

The Monge–Ampère equation: Various forms and numerical solution

Autor: V. Zheligovsky, O. M. Podvigina, Uriel Frisch

Publikováno v: Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2010, 229, pp.5043-5061. ⟨10.1016/j.jcp.2010.03.025⟩

We present three novel forms of the Monge-Ampere equation, which is used, e.g., in image processing and in reconstruction of mass transportation in the primordial Universe. The central role in this paper is played by our Fourier integral form, for wh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6cf97109c87bf3ad82f016e0fabb4083
https://doi.org/10.1016/j.jcp.2010.03.025