Prof. Simonetta Abenda

tel: +39 051 209 3981- Fax: +39 051 582528 - e-mail : abenda@ciram.ing.unibo.it
 

• finger
• curriculum
• attività didattica
• scientific activity

Curriculum

• Laurea in Fisica, 110 summa cum laude, University of Bologna il 16/06/1989;
• Master in Mathematical Physics, classe di  Mathematica,  S.I.S.S.A. , ottobre 1991;
• Ph. D. in Mathematics, S.I.S.S.A., giugno 1994.

• Ricercatore di Analisi Matematica, Facoltà di Ingegneria, Università di Bologna, dal 01/01/1993 al 26/12/2004;
• Posizione attuale: professore associato di Analisi Matematica, Facoltà di Ingegneria, Università di Bologna.

• Membro della Giunta del  Dipartimento di Matematica, Università di Bologna
  
• Membro della Giunta del C.I.R.A.M., Università di Bologna
  
• Membro del "Collegio dei docenti del Dottorato in Matematica", Università di Bologna
• Membro della Commissione permanente dei Finanziamenti della Facoltà di Ingegneria 1
  
• Membro del  GNFM-INdAM
• Membro del PRIN2006 "Metodi geometrici nella teoria delle onde non lineari ed applicazioni"  (Coordinatore scientifico: prof. Boris A. Dubrovin, S.I.S.S.A.)
  
• Participante  ENIGMA (European Network in Geometry, Mathematical Physics and Applications),  Marie Curie Research Training Network finanziato dalla Commissione Europea nell'ambito del Sixth Framework Programme (FP6) 
• Participante  MISGAM (Methods of Integrable Systems, Geometry, Applied Mathematics), programma scientifico dell' European Science Foundation (ESF)
  
• Participante al Progetto Strategico 2006 "Teoria geometrica delle equazioni differenziali a derivate paziali", coordinatore Prof. Antonio Bove.
  

Scientific Activity

• Member of the Organizing and Scientific Committees of SPT2002-Symmetry and Perturbation Theory 2002 (Cala Gonone, 19-25 May 2002). The conference has been co-sponsored by University of Bologna, GNFM-INdAM and CIRAM. About 70 researchers actively partecipated into this activity.
  
• Member of the Editorial Board of the Proceedings volume of SPT2002 published by World Scientific, Singapore.
• Member of the Scientific Committee of SPT2004-Symmetry and Perturbation Theory 2004 (Cala Gonone, 29 May-6 June 2004)
  
• Member of the Organizing and Scientific Committee of  the International Workshop Analytic and geometric theory of the Camassa-Holm equation and integrable systems (Bologna, 22-25 September 2004). The workshop was held at CIRAM as part of the GNFM-INdAM research program "Onde nonlineari, struttura tau e geometria delle varietà invarianti: il caso della gerarchia di Camassa-Holm"(Coordinator: S.A.). The workshop was  also partially supported by ESF research program MISGAM (Method of Integrable Systems, Geometry and Applied Mathematics). About 30 researchers presented their recent achievements in the theory of integrable systems with special attention to topics related to the CH hierarchy and its generalizations.   
  
• Member of the Organizing Committee of the International Workshop Conference on Riemann-Hilbert Problems, Integrability and Asymptotics (SISSA, Trieste, 20-25 September 2005)

Publications:

1. S. Abenda, T. Grava and C. Klein  Numerical Solution of the Small Dispersion Limit of the Camassa-Holm and Whitham Equations and Multiscale Expansions arXiv0909.1020 [math-ph] 25 p. (2009)
2. S. Abenda and P.G. Grinevich Periodic billiard orbits on n-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations arXix:0903.1980v1 [nlin.SI] 28 p. (2009)
3. S. Abenda Reciprocal transformations and local Hamiltonian structures of hydrodynamic type systems - J. Phys. A: Math. Theor. v. 42, 095208, 20 p.(2009)
   
4. S. Abenda Reciprocal transformations and integrable Hamiltonian hydrodynamic type systems, Proceedings of WASCOM 2007, World Scientific  (2008)
   
5. S. Abenda and E. Previato How is the Hitchin system self-dual? Let us count the ways, Mittag-Leffler Institute Preprint n. 64 (September 2007)
   
6. S. Abenda Density of real closed geodesics on ellipsoids related to hyperelliptic tangential coverings, nlin.SI/arXiv:0705.2112
7. S. Abenda and T. Grava Reciprocal transformations and flat metrics on Hurwitz spaces - J. Phys. A: Math. Theor. v. 40, p. 10769-10790 (2007)
8. S. Abenda and Yu. Fedorov: Closed geodesics and billiards on quadrics related to elliptic KdV solutions - Letters in Mathematical Physics, v. 76, p. 111-134. (2006)
   
9. S. Abenda, T. Grava and C. Klein: On Whitham equations for Camassa-Holm, proceedings of WASCOM2005, World Scientific, p.1-6 (2006)
   
10. S. Abenda and T.Grava: Modulation of Camassa-Holm equation and reciprocal transformations - Annales de l'Institut Fourier, v. 55, p. 1803-1834 (2005)
11. S. Abenda and Yu. Fedorov: Integrable ellipsoidal billiards with separable potentials, proceedings of EQUADIFF 2003, World Scientific, p. 687-693 (2005)
12. 'Symmetry and Perturbation theory 2002', proceedings of the international conference "SPT2002", editors S. Abenda, G. Gaeta and S. Walcher, World Scientific (2002)
    
13. S. Abenda - The Mumford system for a hyperelliptically separable system with deficiency in `Symmetry and perturbation theory SPT 2002', eds. S. Abenda, G. Gaeta and S. Walcher, World Scientific, pagg. 1-9 (2002)
14. S. Abenda, V. Marinakis and T. Bountis - On the connection between hyperelliptic separability and Painlevé integrability, `Journal of Physics A: Mathematical and General', v. 34, n. 17, pagg. 3521-3539 (2001)
15. S. Abenda and Yu. Fedorov - Complex angle variables for constrained integrable Hamiltonian systems - `Journal of Nonlinear Mathematical Physics', numero speciale dedicato ai Proceedings del XIII Workshop on Nonlinear Evolution Equations and Dynamical Systems, pagg. 1-4 (2001).
16. S. Abenda: Geometry and dynamics of hyperelliptically separable systems, in `Symmetry and perturbation theory SPT 2001', eds. D. Bambusi e G. Gaeta, World Scientific, pagg.1-8 (2001)
17. S.Abenda and Yu. Fedorov: On the weak Kowalewski-Painleve property for hyperelliptically separable systems, "Acta Applicandae Mathematicae", vol. 60, Issue 2, pagg. 137-178 (2000)
    
18. S. Abenda, P. Moussa and A. H. Osbaldestin: Multifractal dimensions and thermodynamical description of nearly-circular Julia sets - Nonlinearity, v. 12, p. 19-40 (1999)
    
19. S. Abenda: Comparison results and a priori estimates for weak solutions of the Signorini problem - "Ricerche di Matematica"; vol. 48, pagg. 323-352 (1999)
20. S. Abenda and Yu. Fedorov: The geometric description of hyperelliptically separable systems  in "SPT: Symmetry and perturbation theory II", eds. A. Degasperis and G. Gaeta, World Scientific, (1999)
    
21. S. Abenda: Solitary waves for Maxwell-Dirac and Coulomb-Dirac models - Annales I.H.P. Physique Theorique, v. 68, p. 229-244 (1998)
22. S. Abenda: Global action-angle variables and the characterization of 1-degree of freedom rational Hamiltonians - Journal of physics A: math. and gen., v. 31, p.1695-1711 (1998)
23. V. Marinakis, S. Abenda and T. Bountis: Finitely and infinitely sheeted solutions in some classes of nonlinear ODEs - Regular and Chaotic Dynamics, v. 3, p. 63-74 (1998) 
24. S. Abenda: Time singularities for polynomial Hamiltonians with analytic time dependence - in "Hamiltonian systems with 3 or more degrees of freedom", ed. C. Simo, Kluwer, Nato ASI series B (1998)
    
25. S. Abenda, P. Caldiroli and P. Montecchiari: Multibump solutions for Duffing - like systems - Rendiconti di Matematica dell'Universita di Trieste, p. 115-143 (1997)
26. S. Abenda: Asymptotic analysis of time singularities for a class of time-dependent Hamiltonians - Journal of physics A:math. and gen, v. 30, p.143-171 (1997) 
27. S. Abenda and A. Bazzani: Singularity analysis of two dimensional complexified Hamiltonian systems - in "Hamiltonian Mechanics: Integrability and Chaotic Behaviour" ed. J. Seimenis, Plenum Publ. co. Nato ASI series B, p. 205-221 (1993)
    
28. S. Abenda, S. Demko and G. Turchetti - Local Moments and Inverse Problem for fractal Measures - Inverse Problems, vol. 8, p.739-750 (1992)
    
29. S. Abenda and G. Turchetti - Duality in Parameter Space and Approximation of Measures for Mixing Repellers - Journal of Statistical Physics, vol. 61, p.293-310 (1990)
30. S. Abenda - Inverse Problem for Fractal Measures on the Real Line via I.F.S. and the moment method - Inverse Problems, vol. 6, p.885-896 (1990)
31. S. Abenda and G. Turchetti - Inverse Problem for Fractal Sets on the Real Line via the Moment Method- Il Nuovo Cimento, vol. 104b, p.213-227 (1989)

• S. Abenda "Analisi Matematica", Progetto Leonardo, Editore Esculapio, Bologna (2008)
• S. Abenda "Esercizi di Analisi Matematica -parte 1", Progetto Leonardo, Editore Esculapio, Bologna (2007)
• S. Abenda e S. Matarasso "Esercizi di Analisi Matematica  - parte II", Progetto Leonardo, Editore Esculapio, Bologna (2005);
• S. Abenda e S. Matarasso "Metodi Matematici", Progetto Leonardo, Editore Esculapio, Bologna (2003).

• "La geometria dei frattali ed il problema inverso" - tesi di laurea, Dipartimento di Fisica, Università degli Studi di Bologna, 16 giugno 1989;
  
• "Application of thermodynamical formalism to nearly - circular Julia sets" - Master Thesis, SISSA, October 1991;
  
• "Analysis of singularity structures for quasi - integrable Hamiltonian systems" - Ph.D. Thesis, SISSA, June 1994

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