2013

Harris, Jamie, Connaughton, Colm and Bustamante, Miguel D. (2013) Percolation transition in the kinematics of nonlinear resonance broadening in Charney–Hasegawa–Mima model of Rossby wave turbulence. New Journal of Physics, Volume 15 (Number 8). Article number 083011. doi:10.1088/1367-2630/15/8/083011

Harper, Katie L., Bustamante, Miguel D. and Nazarenko, Sergey (2013) Quadratic invariants for discrete clusters of weakly interacting waves. Journal of Physics A: Mathematical and Theoretical, Volume 46 (Number 24). Article number 245501. doi:10.1088/1751-8113/46/24/245501

2012

Harris, J. (Jamie), Bustamante, Miguel D. and Connaughton, Colm (2012) Externally forced triads of resonantly interacting waves : boundedness and integrability properties. Communications in Nonlinear Science and Numerical Simulation, Vol.17 (No.12). pp. 4988-5006. doi:10.1016/j.cnsns.2012.04.002

2009

Cartes, Carlos, Bustamante, Miguel D., Pouquet, Annick and Brachet, Marc E. (2009) Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD. Fluid Dynamics Research, Vol.41 (No.1). Article no. 011404. doi:10.1088/0169-5983/41/1/011404

Bustamante, M. D. and Kartashova, E. (2009) Dynamics of nonlinear resonances in Hamiltonian systems. Europhysics Letters (EPL), Vol.85 (No.1). Article no.14004. doi:10.1209/0295-5075/85/14004

Kerr, Robert M. (Robert McDougall) and Bustamante, M. D. (2009) Exploring symmetry plane conditions in numerical Euler solutions. In: Robinson, James C. (James Cooper), 1969- and Rodrigo, Jose, (eds.) Partial differential equations and fluid mechanics. London Mathematical Society lecture note series, Vol.364 . Cambridge, UK ; New York: Cambridge University Press. ISBN 9780521125123

2008

Bustamante, Miguel D. and Kerr, Robert M. (Robert McDougall) (2008) 3D Euler about a 2D symmetry plane. Physica D: Nonlinear Phenomena, Vol.237 (No.14-17). pp. 1912-1920. doi:10.1016/j.physd.2008.02.007

Gibbon, J. D., Bustamante, Miguel D. and Kerr, Robert M. (Robert McDougall) (2008) The three-dimensional Euler equations : singular or non-singular? Nonlinearity, Volume 21 (Number 8). T123-T129. doi:10.1088/0951-7715/21/8/T02

Bustamante, Miguel D., Van Diejen, Jan Felipe and de la Maza, A. C. (2008) Norm formulae for the Bethe Ansatz on root systems of small rank. Journal of Physics A: Mathematical and Theoretical, Volume 41 (Number 2). Article No. 025202. doi:10.1088/1751-8113/41/2/025202

2007

Cartes, Carlos, Bustamante, Miguel D. and Brachet, Marc E. (2007) Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics. Physics of Fluids, Vol.19 (No.7). Article: 077101. doi:10.1063/1.2748447