Institut de Mathématiques de Jussieu
Université Paris 7 Denis Diderot
F-75205 Paris Cedex 13 France
6031 Bâtiment Sophie-germain
guardia at math dot jussieu dot fr, marcel dot guardia at upc dot edu.
Hamiltonian Systems, Arnol'd diffusion, Exponentially small phenomena, Hamiltonian Partial Differential Equations, Celestial Mechanics.
Here is my CV.
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Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation with a convolution potential
24 pages. [PDF].
Marcel Guardia, Pau Martin, Tere M. Seara
Oscillatory motions for the restricted planar circular three body problem
51 pages. See the article on the arXiv.
Jacques Féjoz, Marcel Guardia,
Vadim Kaloshin, Pablo Roldan
Diffusion along mean motion resonance in the restricted planar three-body problem
68 pages. See the article on the arXiv.
Marcel Guardia, Vadim Kaloshin
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
Accepted for publication in the Journal of the European Mathematical Society. 76 pages. See the preprint version on the arXiv.
Splitting of separatrices in the resonances of nearly integrable Hamiltonian Systems of one and a half degrees of freedom
Discrete and Continuous Dynamical Systems A, 33 (7): 2829-2859 (2013). [PDF].
Inma Baldomá, Marcel Guardia, Ernest Fontich, Tere M. Seara
Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results
Journal of Differential Equations, 253 (12): 3304-3439 (2012). [PDF].
Marcel Guardia, Tere M. Seara
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation
Nonlinearity, 24 (5): 1367-1412 (2012). [PDF].
Marcel Guardia, Tere M. Seara,
Marco Antonio Teixeria
Generic bifurcations of low codimension of planar Filippov Systems
Journal of Differential Equations, 250 (4): 1967-2023 (2011) . [PDF].
Marcel Guardia, S. John Hogan, Tere M. Seara
An analytical approach to codimension 2 sliding bifurcations in the dry friction oscillator
SIAM Journal on Applied Dynamical Systems, 9: 769–798 (2010).
Marcel Guardia, Carme Olivé, Tere M. Seara
Exponentially small splitting for the pendulum: a classical problem revisited
Journal of Nonlinear Science, 20: 595-685, (2010)
Here you will find a selection of slides of presentations in seminars and congresses. Please note that these have not been revised and they may have misprints.
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Growth of Sobolev norms for the cubic defocusing nonlinear Schrodinger equation in polynomial time
Princeton University Analysis Seminar. April 9, 2012.
An instability mechanism along the mean motion resonances in the restricted three body problem
Nanjing Conference on Hamiltonian Dynamics . Nanjing, China. August 21-28, 2011
Exponentially small splitting of separatrices for one and a half degrees of freedom Hamiltonian Systems close to a resonance
McMaster University PDE/Analysis Seminar. April 15, 2011.
Analytic properties of one and a half degrees of freedom
Hamiltonian Systems and exponentially small splitting of
University of Maryland Dynamical Systems Seminar. November 18, 2010.
Exponentially small splitting of separatrices for the pendulum with fast periodic or quasiperiodic meromorphic perturbation
Equadiff 11. Loughborough, United Kingdom. August 1-5, 2011.
Exponentially small splitting of separatrices of the
pendulum: two different examples
Universitat de Barcelona - Universitat Politècnica de Catalunya Dynamical Systems Seminar. July 8, 2009.
Global phenomena in a neighborhood of codimension two local singularities of planar Filipov systems
International Workshop on Resonance Oscillations and
Stability of Nonsmooth Systems. London, United Kingdom. June 16-25, 2009.
I'm not teaching this semester.
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Last update October 2, 2013.