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Università degli Studi Roma Tre

Dipartimento di Matematica e Fisica

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Dipartimento di Matematica e Fisica

Pagine personali

CV e Ricerca

 

Luca Biasco

Qualifica :Professore Associato
email :biasco@mat.uniroma3.it
Area di ricerca:Equazioni differenziali e sistemi hamiltoniani
Temi di interesse: Teoria KAM per le equazioni alle derivate parziali.

Breve Curriculum

1999 Laurea in Matematica
UniversitÓ Roma Tre
2002 Ph.D. in Matematica
S.I.S.S.A. Trieste
2/12/2002- 19/12/2012 Ricercatore
UniversitÓ Roma Tre
20/12/2012-oggi Professore Associato
UniversitÓ Roma Tre

Articoli su rivista

2012 
Ceccaroni, Marta and Biggs, James and Biasco, Luca, Analytic estimates and topological properties of the weak stability boundary, CELESTIAL MECHANICS \& DYNAMICAL ASTRONOMY. AN INTERNATIONAL JOURNAL OF SPACE DYNAMICS, num. 114, pp. 1-2, 1--24 , MR2989586
2011 
Berti, Massimiliano and Biasco, Luca, Branching of Cantor manifolds of elliptic tori and applications to PDEs, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 305, pp. 3, 741--796 , MR2819413
2010 
Biasco, Luca and Di Gregorio, Laura, A Birkhoff-Lewis type theorem for the nonlinear wave equation, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, num. 196, pp. 1, 303--362 , MR2601076
2009 
Biasco, Luca and Chierchia, Luigi, Low-order resonances in weakly dissipative spin-orbit models, JOURNAL OF DIFFERENTIAL EQUATIONS, num. 246, pp. 11, 4345--4370 , MR2517775
2008 
Biasco, Luca and Valdinoci, Enrico, (Quasi)periodic solutions in (in)finite dimensional Hamiltonian systems with applications to celestial mechanics and wave equation, PORTUGALIAE MATHEMATICA. A JOURNAL OF THE PORTUGUESE MATHEMATICAL SOCIETY, num. 65, pp. 4, 431--445 , MR2483346
2008 
Biasco, Luca and Coglitore, Federico, Periodic orbits accumulating onto elliptic tori for the (N+1)-body problem, CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY. AN INTERNATIONAL JOURNAL OF SPACE DYNAMICS, num. 101, pp. 4, 349--373 , MR2430357
2007 
Biasco, Luca and Di Gregorio, Laura, Periodic solutions of Birkhoff-Lewis type for the nonlinear wave equation, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES A, pp. Dynamical, 102--109 , MR2409203
2006 
Biasco, Luca and Chierchia, Luigi and Valdinoci, Enrico, Corrigendum to: ``Elliptic two-dimensional invariant tori for the planetary three-body problem'' [Arch. Ration. Mech. Anal. f 170 (2003), no. 2, 91--135; MR2017886], ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, num. 180, pp. 3, 507--509 , MR2214965
2006 
Biasco, Luca and Di Gregorio, Laura, Time periodic solutions for the nonlinear wave equation with long minimal period, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, num. 38, pp. 4, 1090--1125 (electron , MR2274476
2006 
Berti, Massimiliano and Biasco, Luca, Forced vibrations of wave equations with non-monotone nonlinearities, ANNALES DE L'INSTITUT HENRI POINCARE' - ANALYSE NON LINEAIRE, num. 23, pp. 4, 439--474 , MR2245752
2006 
Biasco, Luca and Di Gregorio, Laura, Periodic solutions of Birkhoff-Lewis type for the nonlinear wave equation, ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. RENDICONTI LINCEI. SERIE IX. MATEMATICA E APPLICAZIONI, num. 17, pp. 1, 25--33 , MR2237742
2006 
Biasco, Luca and Chierchia, Luigi and Valdinoci, Enrico, N-dimensional elliptic invariant tori for the planar (N+1)-body problem, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, num. 37, pp. 5, 1560--1588 (electron , MR2215277
2006 
Biasco, L. and Chierchia, L. and Treschev, D., Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom, JOURNAL OF NONLINEAR SCIENCE, num. 16, pp. 1, 79--107 , MR2202903
2005 
Biasco, Luca and Chierchia, Luigi, Exponential stability for the resonant d'Alembert model of celestial mechanics, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, num. 12, pp. 4, 569--594
2005 
Berti, Massimiliano and Biasco, Luca, Periodic solutions of nonlinear wave equations with non-monotone forcing terms, ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. RENDICONTI LINCEI. SERIE IX. MATEMATICA E APPLICAZIONI, num. 16, pp. 2, 117--124
2005 
Biasco, Luca and Chierchia, Luigi, Exponential stability for the resonant d'Alembert model of celestial mechanics, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES A, num. 12, pp. 4, 569--594
2004 
Berti, Massimiliano and Biasco, Luca and Valdinoci, Enrico, Periodic orbits close to elliptic tori and applications to the three-body problem, ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. SERIE V, num. 3, pp. 1, 87--138
2003 
Biasco, Luca and Chierchia, Luigi and Valdinoci, Enrico, Elliptic two-dimensional invariant tori for the planetary three-body problem, ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, num. 170, pp. 2, 91--135
2003 
Berti, Massimiliano and Biasco, Luca and Bolle, Philippe, Drift in phase space: a new variational mechanism with optimal diffusion time, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, vol. NEUVIEME SERIE, num. 82, pp. 6, 613--664
2003 
Biasco, Luca and Chierchia, Luigi, On the stability of some properly-degenerate Hamiltonian systems with two degrees of freedom, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, num. 9, pp. 2, 233--262
2002 
Biasco, Luca and Chierchia, Luigi, Effective Hamiltonian for the d'Alembert planetary model near a spin/orbit resonance, CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, num. 83, pp. 1-4, 223--237
2002 
Biasco, Luca and Chierchia, Luigi, Nekhoroshev stability for the D'Alembert problem of celestial mechanics, ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. RENDICONTI LINCEI. SERIE IX. MATEMATICA E APPLICAZIONI, num. 13, pp. 2, 85--89
2002 
Berti, Massimiliano and Biasco, Luca and Bolle, Philippe, Optimal stability and instability results for a class of nearly integrable Hamiltonian systems, ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. RENDICONTI LINCEI. SERIE IX. MATEMATICA E APPLICAZIONI, num. 13, pp. 2, 77--84

Conferenze

2012 
Anacapri, Hamiltonian PDEs ( speaker )
2012 
Roma, New perspectives in nonlinear PDE's ( organizzatore )
2012 
Roma, Scool on Nonlinear PDE's from Geometry and Physics ( comitato scientifico )
2011 
Venezia, Variational and perturbative methods for nonlinear differential equations ( speaker )
2011 
Ravello, Conference on KAM and Cauchy theory for PDEs ( speaker )
2011 
Bologna, UMI ( speaker )
2010 
Capri, Mini-Workshop on New connections between dynamical systems and Hamiltonian PDEs ( speaker )
2009 
Napoli, New connections between dynamical systems and Hamiltonian PDEs ( speaker )
2008 
Barcellona, Workshop on Stability and Instability in Mechanical Systems: Applications and Numerical Tools ( speaker )
2008 
Trieste, Trent'anni di Analisi Matematica alla SISSA: il contributo degli ex allievi ( speaker )
2008 
Capri, Hamiltonian PDEs and variational methods ( speaker )
2008 
Barcellona, Spagna, Workshop on Stability and Instability in Mechanical Sysyems: Applications and Numerical Tools ( speaker )
2008 
Vancouver, Canada, Variational Methods and Nash-Moser
2008 
Avezzano (AQ), Numerical Methods in Astrodynamics
2008 
Marsiglia, francia, From Dynamical Systems to Statistical Mechanics ( speaker )
2008 
Berder, Francia, Hamiltonian PDEs Workshop ( speaker )
2008 
Barcellona, Spagna, Conference on Stability and Instability in Mechanical Systems
2008 
Capri (NA), Hamiltonian PDEs and variational methods ( speaker )
2008 
Trieste, Trent'anni di Analisi Matematica alla SISSA: il contributo degli ex-allievi ( speaker )
2007 
Otranto (LE), Symmetry and Perturbation Theory ( speaker )
2006 
Poitiers, Francia, 6th AIMS International Conference (American Institute of Mathematical Sciences) ( speaker )

Programmi di Ricerca





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