Miguel D. Bustamante
Cited by
Cited by
3D Euler about a 2D symmetry plane
MD Bustamante, RM Kerr
Physica D: Nonlinear Phenomena 237 (14-17), 1912-1920, 2008
Interplay between the Beale-Kato-Majda theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem
MD Bustamante, M Brachet
Physical Review E 86 (6), 066302, 2012
Effect of the dynamical phases on the nonlinear amplitudes' evolution
MD Bustamante, E Kartashova
Europhysics Letters 85 (3), 34002, 2009
Derivation of the Biot-Savart equation from the nonlinear Schrödinger equation
MD Bustamante, S Nazarenko
Physical Review E 92 (5), 053019, 2015
A robust quantitative comparison criterion of two signals based on the Sobolev norm of their difference
M Perlin, MD Bustamante
Journal of Engineering Mathematics 101 (1), 115-124, 2016
Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems
MD Bustamante, B Quinn, D Lucas
Phys. Rev. Lett. 113, 084502, 2014
Ideal evolution of magnetohydrodynamic turbulence when imposing Taylor-Green symmetries
ME Brachet, MD Bustamante, G Krstulovic, PD Mininni, A Pouquet, ...
Physical review E 87 (1), 013110, 2013
Dynamics of nonlinear resonances in Hamiltonian systems
MD Bustamante, E Kartashova
Europhysics Letters 85 (1), 14004, 2009
Resonance Clustering in Wave Turbulent Regimes: Integrable Dynamics.
MD Bustamante, E Kartashova
Communications in Computational Physics 10 (5), 1211, 2011
The three-dimensional Euler equations: singular or non-singular?
JD Gibbon, M Bustamante, RM Kerr
Nonlinearity 21, T123, 2008
Universal route to thermalization in weakly-nonlinear one-dimensional chains
L Pistone, S Chibbaro, M Bustamante, Y L'vov, M Onorato
arXiv preprint arXiv:1812.08279, 2018
Complete classification of discrete resonant Rossby/drift wave triads on periodic domains
MD Bustamante, U Hayat
Communications in Nonlinear Science and Numerical Simulation 18 (9), 2402-2419, 2013
Quadratic invariants for discrete clusters of weakly interacting waves
KL Harper, MD Bustamante, SV Nazarenko
Journal of Physics A: Mathematical and Theoretical 46 (24), 245501, 2013
Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics
C Cartes, MD Bustamante, ME Brachet
Physics of Fluids 19 (7), 077101, 2007
Nonlinear Rossby wave–wave and wave–mean flow theory for long-term solar cycle modulations
B Raphaldini, AS Teruya, CFM Raupp, MD Bustamante
The Astrophysical Journal 887 (1), 1, 2019
Exact discrete resonances in the Fermi-Pasta-Ulam–Tsingou system
MD Bustamante, K Hutchinson, YV Lvov, M Onorato
Communications in Nonlinear Science and Numerical Simulation 73, 437-471, 2019
Energy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in the 1-D Burgers equation
BP Murray, MD Bustamante
Journal of Fluid Mechanics 850, 624-645, 2018
Externally forced triads of resonantly interacting waves: boundedness and integrability properties
J Harris, MD Bustamante, C Connaughton
Communications in Nonlinear Science and Numerical Simulation 17 (12), 4988-5006, 2012
Phase and precession evolution in the Burgers equation
M Buzzicotti, BP Murray, L Biferale, MD Bustamante
The European Physical Journal E 39, 1-9, 2016
Image encryption using elliptic curves and Rossby/drift wave triads
I Ullah, U Hayat, MD Bustamante
Entropy 22 (4), 454, 2020
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