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| Short CV (last updated: January 2012) |
| Fluid Dynamics Vortex Reconnection Finite-time Singularities Wave Turbulence Hamiltonian Methods and Integrable Systems Non-linear evolution of discrete wave systems General Relativity Embedding Approach List of Preprints on arXiv (auto-updated) |
| Sponsor : Higher Education Authority (HEA) Title : PRTLI 5: SimSci - Split Accounts School of Mathematical Sciences Start Date / End Date : 01-MAR-11 / 29-FEB-16 |
| Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET) Title : The nonlinear evolution of phases and energy cascades in discrete wave turbulence systems Start Date / End Date : 01-OCT-11 / 30-SEP-13 |
| Sponsor : University College Dublin (UCD) Title : Understanding Common Aspects of Extreme Events in Fluids Start Date / End Date : 17-MAY-10 / 31-OCT-12 |
| Sponsor : University College Dublin (UCD) Title : International Collaborations on Extreme Events: Simulations, Analysis and Geometry Start Date / End Date : 17-MAY-10 / 31-OCT-12 |
| Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET) Title : Singularities in three-dimensional Euler equations: Simulations and geometry Start Date / End Date : 05-MAR-10 / 04-MAR-11 |
| Sponsor : University College Dublin (UCD) Title : Mathematical and Geometrical Aspects of Collapse in Three-Dimensional Fluid Structures Start Date / End Date : 03-AUG-09 / 31-JAN-11 |
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| E. Kartashova and M. D. Bustamante; (2011) 'Commun. Comput. Phys. 10, 1211-1240, Resonance clustering in wave turbulent regimes: Integrable dynamics'. . [DOI] [Details] |
| Miguel D. Bustamante; (2011) '3D Euler equations and ideal MHD mapped to regular systems: Probing the finite-time blowup hypothesis'. Physica D: Nonlinear Phenomena, 240 (13):1092-1099. [DOI] [Details] |
Peter Lynch and Miguel D Bustamante; (2009) 'Precession and Recession of the Rock'n'roller'. Journal of Physics A-Mathematical and General, 42 .  [DOI] [Details] |
| Bustamante, M. D. and Kartashova, E.; (2009) 'Effect of the dynamical phases on the nonlinear amplitudes' evolution'. Europhysics Letters, 85 . [DOI] [Details] |
| Bustamante, M. D. and Kartashova, E.; (2009) 'Dynamics of nonlinear resonances in Hamiltonian systems'. Europhysics Letters, 85 (14004). [Details] |
| Cartes, C., Bustamante, M. D., Pouquet, A. and Brachet, M.; (2009) 'Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD'. Fluid Dynamics Research, 41 (011404). [Details] | |||||||||
| Gibbon, J. D., Bustamante, M. D. and Kerr, R. M.; (2008) 'The three-dimensional Euler equations: singular or non-singular?'. Nonlinearity, 21 :T123-T129. [Details] | |||||||||
| Bustamante, M. D. and Kerr, R. M.; (2008) '3D Euler about a 2D Symmetry Plane'. Physica D: Nonlinear Phenomena, 237 :1912-1920. [Details] | |||||||||
| Bustamante, M. D., Van Diejen, J. F. and De la Maza, A. C.; (2008) 'Norm formulas for the Bethe ansatz on root systems of small rank'. Journal of Physics A-Mathematical and General, 41 (025202). [Details] | |||||||||
| Cartes, C., Bustamante, M. D. and Brachet, M.; (2007) 'Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics'. Physics of Fluids, 19 (077101). [Details] | |||||||||
| Chevalier, C., Bustamante, M. D. and Debbasch, F.; (2007) 'Thermal statistical ensembles of black holes'. Physica A-Statistical Mechanics and Its Applications, 376 :293-307. [Details] | |||||||||
| Bustamante, M. D. and Hojman, S. A.; (2003) 'Multi-Lagrangians, hereditary operators and Lax pairs for the Korteweg-de Vries positive and negative hierarchies'. Journal of Mathematical Physics, 44 (10):4652-4671. [Details] | |||||||||
| Bustamante, M. D. and Hojman, S. A.; (2003) 'Lagrangian structures, integrability and chaos for 3D dynamical equations'. Journal of Physics A-Mathematical and General, 36 :151-160. [Details] | |||||||||
| Maldonado, O., Gottlieb, D., Bustamante, M. D. and Roessler, J.; (1999) 'Transversal effect in a metal-to-metal interface'. Physica Status Solidi B-Basic Research, 214 :315-325. [Details] | |||||||||
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| Year: 2012. Title: Chairman of IUTAM Symposium |
| Miguel Bustamante, Marc Brachet, Amitava Bhattacharjee, Brian Sawford, Robert Kerr, Makoto Tsubota, Alan Newell; (2012) International Union of Theoretical and Applied Mechanics (IUTAM) Symposium. Topics Covered: 1. Extreme events in atmospheric dynamics (e.g., fronts, jets and hurricanes); 2. Extreme events in oceans (e.g., rogue waves); 3. Extreme events in Euler and Navier-Stokes classical turbulence (e.g., near-singular behaviour); 4. Extreme events in Magneto-Hydrodynamics (e.g., magnetic reconnection); 5. Extreme events in superfluid quantum vortices (e.g., change of topology of vortex tangles). [Conference Organising Committee Chairperson], Understanding Common Aspects of Extreme Events in Fluids, University College Dublin, IRELAND , 02-JUL-12 - 06-JUL-12. |
| Miguel D. Bustamante and Robert M. Kerr; (2008) Discussion of state-of-the-Art methods and results of high-resolution numerical simulations of 3D Euler fluid equations. Speakers: M. Brachet (ENS Paris), P. Orlandi (Roma), R. Kerr (Warwick), C. Barenghi (Newcastle). [Conference Organising Committee Chairperson], Euler and High Performance Computing, Warwick Mathematics Institute, University of Warwick, UK , 03-JAN-08 - 03-JAN-08. |
| Employer: University of Warwick Position: Research Fellow |
| Employer: Ecole Normale Superieure Position: Research Fellow |
| Employer: University College Dublin Position: Lecturer in Applied Mathematics |
| Year 2003 Institution: Universidad de Chile Qualification: PhD Subject: Systematic Construction of Lagrangian and Hamiltonian Structures for Nonlinear Equations |
| Year 1996 Institution: Universidad de Chile Qualification: BSc (First Class Hons) Subject: Physics |
| English: |
| French: |
| Spanish: |
| Journal Of Fluid Mechanics: Reviewer. |
| Physica D: Nonlinear Phenomena: Reviewer. |
| Geophysical & Astrophysical Fluid Dynamics: Reviewer. |
| Prof. Peter Lynch, School of Mathematical Sciences, UCD, Ireland, EU |
| Prof. Robert Kerr, Warwick Mathematics Institute, Warwick, UK Prof. Elena Kartashova, RISC, J. Kepler University, Linz, Austria, EU Prof. Marc Brachet, Ecole Normale Superieure, Paris, France, EU Prof. John D. Gibbon, Imperial College, London, UK Prof. Colm Connaughton, Warwick Mathematics Institute, Warwick, UK Prof. Sergey Nazarenko, Warwick Mathematics Institute, Warwick, UK Prof. Edriss S. Titi, UC Irvine, USA Prof. Koji Ohkitani, SoMaS, University of Sheffield, UK |
| Undergraduate Courses: Mathematical Modelling II - First year Analytical Mechanics - Third year Advanced Computational Science - Fourth year Electromagnetism and Gauge Theory - Fourth year Postgraduate Courses: Jacobi Last Multiplier Method for ODEs Advanced Analytical Mechanics |
| Recent Post-Graduate Students Carlos Cartes (co-supervision with Marc Brachet) - Ph. D. earned at ENS Paris (2008) Current Post-Graduate Students Jamie Harris (co-supervision with Colm Connaughton) - Warwick, UK |
| 201000 ACM40080 Applied & Computational Maths: Advanced Computational Science |
| 201000 ACM10020 Applied & Computational Maths: Mathematical Modelling II |
| 201000 ACM40010 Applied & Computational Maths: Electrodynamics & Gauge Theory |
| 201000 ACM30010 Applied & Computational Maths: Analytic Mechanics |
