194 citations · 1.4k across the 36 of their papers we have counts for
37 papers
Eye of the Tyger: early-time resonances and singularities in the inviscid Burgers equation
Cornelius Rampf, Uriel Frisch, Oliver Hahn
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 singu…
Suppressing thermalization and constructing weak solutions in truncated inviscid equations of hydrodynamics: Lessons from the Burgers equation
Sugan D. Murugan, Uriel Frisch, Sergey Nazarenko +2
Finite-dimensional, inviscid equations of hydrodynamics, such as the zero-viscosity, one-dimensional Burgers equation or the three-dimensional incompressible Euler equation, obtain…
Unveiling the singular dynamics in the cosmic large-scale structure
Cornelius Rampf, Uriel Frisch, Oliver Hahn
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 deve…
A contemporary look at Hermann Hankel's 1861 pioneering work on Lagrangian fluid dynamics
Uriel Frisch, Gerard 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 transla…
Shell-crossing in quasi-one-dimensional flow
Cornelius Rampf, Uriel Frisch
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…
Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces
Nicolas Besse, Uriel Frisch
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.…