74 citations · 574 across the 42 of their papers we have counts for
3 papers · 2 filters
Phase and precession evolution in the Burgers equation
Michele Buzzicotti, Brendan P. Murray, Luca Biferale +1
We present a phenomenological study of the phase dynamics of the one-dimensional stochastically forced Burgers equation, and of the same equation under a Fourier mode reduction on…
Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows
Rachel M. Mulungye, Dan Lucas, Miguel D. Bustamante
We revisit, both numerically and analytically, the finite-time blowup of the infinite-energy solution of 3D Euler equations of stagnation-point-type introduced by Gibbon et al. (19…
Derivation of the Biot-Savart equation from the Nonlinear Schrödinger equation
Miguel D. Bustamante, Sergey V. Nazarenko
We present a systematic derivation of the Biot-Savart equation from the Nonlinear Schrödinger equation, in the limit when the curvature radius of vortex lines and the inter-vortex…