CURRICULUM VITAE. Graziano Guerra. July Laurea in Fisica, Università di Milano, advisor Prof. G. P. Brivio.

Transcription

1 CURRICULUM VITAE Graziano Guerra July 2016 Place and date of birth: Correggio (RE) ITALY, 24/10/1967 Citizenship: Italian Addresses: Università degli studi di Milano Bicocca Dipartimento di Matematica e Applicazioni Via Roberto Cozzi, Milano (Italy) graziano.guerra@unimib.it phone Fax Via Giovanni XXIII, 1/E Carnate (MB) Education 1992 Laurea in Fisica, Università di Milano, advisor Prof. G. P. Brivio Ph.D. in Functional Analysis and Applications, S.I.S.S.A. Trieste, advisor Prof. A. Bressan. Positions held Ph.D. Student at S.I.S.S.A., Trieste Military service Ph.D. Student at S.I.S.S.A., Trieste Assistant Professor in Mathematical Analysis at the Università degli Studi di Milano Assistant Professor in Mathematical Analysis at the Università degli Studi di Milano Bicocca present Associate professor in Mathematical Analysis at the Università degli Studi di Milano Bicocca. 30/12/2013 Obtainined the qualification for the role of full professor in Mathematical Analysis (12/30/2013). 14/11/2014 Obtainined the qualification for the role of full professor in Mathematical Analysis. 1

2 Research projects Coordinator of research projects 2004 Project manager for a research project with ENI S.p.A. - Divisione GAS & POWER National coordinator of the 2011 GNAMPA research project: non-standard applications of Conservation Laws of the Istituto Nazionale di Alta Matematica Gruppo Nazionale per l Analisi Matematica, la Probabilità e le loro Applicazioni Coordinator of the second research unit of the national research project: Nonlinear Hyperbolic Partial Differential Equations, Dispersive and Transport Equations: theoretical and applicative aspects, national coordinator: Stefano Bianchini. Member of research projects 1996 Member of the TEAM Italia II in the European project (1996 /1998) TMR: Hyperbolic Systems of Conservation Laws (HCL # ERBFMRXCT960033, European coord. P. Marcati) Member of the seventh unit of the national research project: Equazioni differenziali ed integrodifferenziali: problemi diretti ed inversi, national coordinator: Giorgio Talenti Member of the sixth unit of the national research project: Analisi ed approssimazione numerica di problemi di evoluzione, national coordinator: Giorgio Talenti Member of the Team I2 in the European project (2002/2005) RTN: HYperbolic and Kinetic Equations : Asymptotics, Numerics, Analysis (Contract Number : HPRN-CT ) Member of the first unit of the national research project: Equazioni della dinamica dei fluidi di tipo iperbolico e leggi di conservazione, national coordinator: Paolo Secchi Member of the national research project: Equazioni della dinamica dei fluidi di tipo iperbolico e leggi di conservazione, national coordinator: Stefano Bianchini Member of the Vigoni project: Non-Local Transport Processes: Modeling, Analysis, Numerics and Control Optimal, Italian coordinator Rinaldo M. Colombo, German coordinator Michael Herty. Referee activity Served as a referee for the journals: Communications in Mathematical Sciences. Discrete and Continuous Dynamical Systems. Journal of Differential Equations. Journal of Hyperbolic Differential Equations. Networks and Heterogeneous Media. Nonlinear Analysis Series A: Theory, Methods & Applications 2

3 Nonlinear Differential Equations and Applications. SIAM Journal on Control and Optimization. SIAM Journal on Mathematical Analysis. SIAM Journal on Scientific Computing. Organization activity and participation in committees 2002 Member of the Committee for a comparative evaluation procedure for an Assistant Professor position at the University of Bergamo Member of the Committee for a comparative evaluation procedure for an Assistant Professor position at the University of L Aquila Member of the organizing committee of the international conference Twelfth International Conference on Hyperbolic Problems: Theory, Numerics, Applications - University of Padua, June 25 to 29, Member of the Committee for an evaluation procedure for the assignement of a grant for research activities Member of the organizing committee of the conference IperMiB2013: 15th Italian Meeting on Hyperbolic Equations Università di Milano Bicocca, September 11-13, now Commission for students orientation for the Bachelor s and Master Degree in Mathematics, Università degli Studi di Milano Bicocca now Member of the PhD School in Pure and Applied Mathematics (Dottorato di Ricerca in Matematica Pura ed Applicata) hosted at the Department of Mathematics and its Applications, Università degli Studi di Milano Bicocca Member of the Committee for an evaluation procedure for the assignement of a grant for research activities Member of the Supervisory Committee for a Ph.D. final examination in Mathematics, Università degli Studi di Milano. Scientific interests Hyperbolic systems of conservation and balance laws: existence of solutions, continuous dependence from the initial data, differentiability of the solution with respect to the initial data, initial boundary value problems, optimal control, relaxation, resonance and singular sources; Applications of hyperbolic partial differential equations in the study of some physical systems, including in particular: the motion of granular materials with relative erosion, fluid dynamics in networks, laser cutting of metals and water flow in canals interrupted by small dams; Inverse problems for first order systems of hyperbolic partial differential equations; Mathematical aspects of some problems arising in the environmental sciences; 3

4 Teaching Conservation Laws & Applications, PhD level, academic year 2012/2013. Advanced Mathematical Analysis, master s degree level, academic year 2011/2012. Calculus I, graduate level, taught for 7 academic years. Calculus II, graduate level, taught for 11 academic years. Statistics, graduate level, taught for 6 academic years. Mathematical and statistical methods, graduate level, taught for 1 academic year. Mathematical, statistical methods and stochastic processes, graduate level, taught for 1 academic year. Five graduate theses and two master s degree thesis in Mathematics supervised Talks and posters D. Amadori, G. Guerra. Global BV solutions and relaxation limit for a system of conservation laws. Hyperbolic Systems of Conservation Laws: Theory and Applications Trieste from 13/05/1998 to 15/05/1998 (Poster). Soluzioni Globali e Rilassamento di un Sistema di Leggi di Conservazione. VI Incontro Nazionale sui Problemi di Tipo Iperbolico Pavia from 01/10/1998 to 03/10/1998 (talk). A. Zanchi, G. Stelluti, G. Guerra, G. Crosta, F. Jadoul, S. Sterlacchini. From digital geological maps to 3 D reconstructions through the use of Gocad: new tools for the improvement of hazard assessment. GEOITALIA 1999, 2 o Forum Italiano di Scienze della Terra Bellaria (Rimini), from 20 to 23 September 1999 (poster). Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws. VIII Incontro Nazionale sui Problemi di Tipo Iperbolico Brescia from 30/11/2000 to 02/12/2000 (talk). Soluzioni approssimate di Godunov per una legge di conservazione generale con dati grandi. X Incontro Nazionale sulle Equazioni Iperboliche Ferrara from 10/10/2002 to 12/10/2002 (talk). Godunov type approximation for a general resonant balance law with large data. Around HYperbolic and Kinetic Equations. First annual meeting of the HYKE network Vienna, Austria from 24/02/03 to 28/02/03 (talk). Well-Posedness for a Scalar Conservation Law with Singular Non Conservative Source. XI Incontro Nazionale sulle Equazioni Iperboliche Pisa from 20/10/04 to 22/10/04 (talk). Well-posedness for a Scalar Conservation Law with Singular Non Conservative Source. SIAM Conference on Analysis of Partial Differential Equations Houston, Texas from 06/12/04 to 08/12/04 (talk). Hyperbolic Balance Laws with a Non Local Source. Eleventh International Conference on Hyperbolic Problems Theory, Numerics, Applications Lione, Francia from 17/07/06 to 21/07/06 (talk). 4

5 Hyperbolic Balance Laws with a Non Local Source. IPERPD th Meeting on Hyperbolic Equations Padova from 13/09/06 to 15/09/06 (talk). Quasidifferential equations in metric spaces and applications to systems of balance laws. Fifth meeting on Hyperbolic Conservation Laws: Recent results and Research perspectives Trieste from 21/06/07 to 22/06/07 (talk). Balance Laws as Quasidifferential Equations in Metric Spaces. Twelfth International Conference on Hyperbolic Problems: Theory, Numerics, Applications University of Maryland, College Park, USA from 09/06/08 to 13/06/08 (talk). Balance Laws with L unbounded sources and application to junction with discontinuous cross section Sixth meeting on Hyperbolic Conservation Laws: Recent results and Research perspectives Università Dell Aquila, L Aquila from 17/07/08 to 19/07/08 (invited talk). R. Colombo, G. Guerra M. Herty, M. Gugat, V. Schleper. Optimal Nodal Control of Networked Systems of Conservation Laws IMA Summer Program: Nonlinear Conservation Laws and Applications Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, USA from 13/07/09 to 31/07/09 (poster). Lipschitz Semigroup for an Integro-Differential Equation for Slow Erosion Fourteenth International Conference on Hyperbolic Problems: Theory, Numerics and Applications Università di Padova, Padova, Italy from 25/06/12 to 29/06/12 (talk). Lipschitz Semigroup and traveling waves for an Integro Differential Equation for Slow Erosion, Hyperbolic Techniques for Phase Dynamics Mathematisches Forschungsinstitut Oberwolfach, Germany, from 09/06/13 to 15/06/13 (invited talk). Lipschitz Semigroup and traveling waves for an Integro Differential Equation for Slow Erosion Universität Stuttgart, Germany 20/06/13 (invited talk). A coupling between a 1D compressible incompressible limit and the 1D p system in the non smooth case XV International Conference on Hyperbolic Problems: Theory, Numerics and Applications IMPA, Rio de Janeiro, Brasil from 28/07/14 to 01/08/14 (talk). A 1D compressible-incompressible limit for the p-system in the non smooth case Contemporary topics in conservation laws Laboratoire de Mathématiques de Besançon, Besançon, France from 09/02/2015 to 12/02/2015 (invited talk). A coupling between a non-linear 1D compressible-incompressible limit and the 1D P-system in the non smooth case Department of Mathematics, The Pennsylvania State University, USA 16/04/15 (invited talk). Uniqueness for a non linear 1D compressible to incompressible limit in the non smooth case Department of Mathematics, The Pennsylvania State University, USA 19/04/16 (invited talk). Uniqueness for a non linear 1D compressible to incompressible limit in the non smooth case 11th Meeting on Nonlinear Hyperbolic PDEs and Applications [On the occasion of the 60th birthday of Alberto Bressan], SISSA, Trieste, Italy, from 13/06/2016 to 17/06/2016 (invited talk). Uniqueness for a non linear 1D compressible to incompressible limit in the non smooth case Hyperbolic Techniques in Modelling, Analysis and Numerics, Mathematisches Forschungsinstitut Oberwolfach, Germania, from 19/06/2016 to 25/06/2016 (invited talk). 5

6 Research articles published on mathematical journals [1] Alberto Bressan and Graziano Guerra. Shift-differentiability of the flow generated by a conservation law. Discrete Contin. Dynam. Systems, 3(1):35 58, [2] G. Guerra and A. Lorenzi. Identification problems for linear symmetric integrodifferential systems. J. Inverse Ill-Posed Probl., 7(4): , [3] D. Amadori and G. Guerra. Global weak solutions for systems of balance laws. Appl. Math. Lett., 12(6): , [4] Debora Amadori and Graziano Guerra. Global BV solutions and relaxation limit for a system of conservation laws. Proc. Roy. Soc. Edinburgh Sect. A, 131(1):1 26, [5] Debora Amadori and Graziano Guerra. Uniqueness and continuous dependence for systems of balance laws with dissipation. Nonlinear Anal., 49(7, Ser. A: Theory Methods): , [6] Debora Amadori, Laurent Gosse, and Graziano Guerra. Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws. Arch. Ration. Mech. Anal., 162(4): , [7] Debora Amadori, Laurent Gosse, and Graziano Guerra. Godunov-type approximation for a general resonant balance law with large data. J. Differential Equations, 198(2): , [8] Graziano Guerra. Well-posedness for a scalar conservation law with singular nonconservative source. J. Differential Equations, 206(2): , [9] Rinaldo M. Colombo and Graziano Guerra. Hyperbolic balance laws with a non local source. Comm. Partial Differential Equations, 32(10-12): , [10] Rinaldo M. Colombo and Graziano Guerra. On the stability functional for conservation laws. Nonlinear Anal., 69(5-6): , [11] Rinaldo M. Colombo and Graziano Guerra. Hyperbolic balance laws with a dissipative non local source. Commun. Pure Appl. Anal., 7(5): , [12] Rinaldo M. Colombo and Graziano Guerra. Differential equations in metric spaces with applications. Discrete Contin. Dyn. Syst., 23(3): , [13] R. M. Colombo, G. Guerra, M. Herty, and V. Schleper. Optimal control in networks of pipes and canals. SIAM J. Control Optim., 48(3): , [14] Graziano Guerra, Francesca Marcellini, and Veronika Schleper. Balance laws with integrable unbounded sources. SIAM J. Math. Anal., 41(3): , [15] Rinaldo M. Colombo and Graziano Guerra. On general balance laws with boundary. J. Differential Equations, 248(5): , [16] Graziano Guerra, Michael Herty, and Francesca Marcellini. Modeling and analysis of pooled stepped chutes. Netw. Heterog. Media, 6(4): , [17] Anna Cattani, Rinaldo M. Colombo, and Graziano Guerra. A hyperbolic model for granular flow. ZAMM Z. Angew. Math. Mech., 92(1):72 88, [18] Claudia Canzi and Graziano Guerra. A simple counterexample related to the Lie Trotter product formula. Semigroup Forum, 84: ,

7 [19] Rinaldo M. Colombo, Graziano Guerra, and Francesca Monti. Modelling the dynamics of granular matter. IMA J. Appl. Math., 77(2): , Apr [20] Rinaldo M. Colombo, Graziano Guerra, and Wen Shen. Lipschitz semigroup for an integrodifferential equation for slow erosion. Quart. Appl. Math., 70(3): , [21] R. M. Colombo, G. Guerra, M. Herty, and F. Marcellini. A hyperbolic model for the laser cutting process. Appl. Math. Model., 37(14-15): , [22] Graziano Guerra and Wen Shen. Existence and stability of traveling waves for an integrodifferential equation for slow erosion. J. Differential Equations, 256(1): , [23] Rinaldo M. Colombo, Graziano Guerra, and Veronika Schleper. The compressible to incompressible limit of one dimensional Euler equations: the non smooth case. Arch. Ration. Mech. Anal., 219(2): , [24] Graziano Guerra and Veronika Schleper. A coupling between a 1D compressibleincompressible limit and the 1D p-system in the non smooth case. Bull. Braz. Math. Soc. (N.S.), 47(1): , [25] Rinaldo M. Colombo and Graziano Guerra. A coupling between a non linear 1d compressible incompressible limit and the 1d p system in the non smooth case. Networks and Heterogeneous Media, 11(2): , [26] Rinaldo M. Colombo and Graziano Guerra. BV solutions to 1D isentropic euler equations in the zero Mach number limit. J. Hyperbolic Differ. Equ., To appear. Preprint: [27] Rinaldo M. Colombo and Graziano Guerra. Characterization of the solutions to ode pde systems. Appl. Math. Lett., To appear. url: Preprints [1] Rinaldo M. Colombo and Graziano Guerra. Uniqueness for a non linear 1d compressible to incompressible limit in the non smooth case. Preprint, Proceedings [1] R. M. Colombo and G. Guerra. Nonlocal sources in hyperbolic balance laws with applications. In Hyperbolic problems: theory, numerics, applications, pages Springer, Berlin, [2] Rinaldo M. Colombo and Graziano Guerra. Balance laws as quasidifferential equations in metric spaces. In Hyperbolic problems: theory, numerics and applications, volume 67 of Proc. Sympos. Appl. Math., pages Amer. Math. Soc., Providence, RI, [3] Rinaldo M. Colombo Graziano Guerra and Wen Shen. Lipschitz semigroup and traveling waves for an integro differential equation for slow erosion. Oberwolfach Rep., 10(2): , Abstracts from the workshop held June 9 15, Organized by Rinaldo M. Colombo, Philippe G. LeFloch, Christian Rohde, Oberwolfach Reports. Vol. 10, no. 2. [4] Debora Amadori, Rinaldo M. Colombo, Graziano Guerra, and Wen Shen. Slow erosion of granular flow: Continuous and discontinuous profiles. In Ancona Fabio, Bressan Alberto, Marcati Pierangelo, and Marson Andrea, editors, Hyperbolic Problems: Theory, Numerics, Applications, volume 8 of AIMS Series on Applied Mathematics, pages American Institute of Mathematical Sciences (AIMS), Springfield, MO, Proceedings of the Fourteenth International Conference on Hyperbolic Problems held in Padova, June 25-29,

8 Research articles published on other journals [1] G.P. Brivio, T.B. Grimley, and G. Guerra. Quantum theory of sticking: equivalence of various approaches and application to a simple model. Surface Science, 320: , [2] T. Bonomi, A. Cavallin, G. Stelluti, and G. Guerra. 3-d subsoil parameterisation in a plan region of north italy. Mem. Soc. Geol. It., 57: , [3] A. Zanchi, F. Salvi, S. Zanchetta, S. Sterlacchini, and G. Guerra. 3d reconstruction of complex geological bodies: Examples from the alps. Computers and Geosciences, 35(1):49 69, Educational publications [1] Graziano Guerra. Alcuni modelli di evoluzione di popolazioni. Appunti del corso di aggiornamento per insegnanti di scienze delle scuole medie superiori tenutosi il e , [2] D. Bertacchi, M. Bramanti, and G. Guerra. Esercizi di calcolo delle probabilità e statistica. Società Editrice Esculapio, Bologna, Luglio Non published works [1] Graziano Guerra. Existence and continuous dependence for some classes of hyperbolic systems of balance laws. PhD thesis, Scuola Internazionale Superiore di Studi Avanzati, Trieste, ottobre