Elisa Sovrano Æ

Transcription

1 Elisa Sovrano Curriculum Vitæ Department of Mathematics, Computer Science and Physics, University of Udine, via delle scienze 206, Udine (Italy) Q sovrano.elisa@spes.uniud.it elisa.sovrano Æ Education 26/02/2018: PhD (cum laude) in Computer Science, Mathematics and Physics, University of Udine. Qualification awarded with mention Doctor Europaeus. Title of the thesis: Nonlinear differential equations having non-sign-definite weights. Supervisor: Prof. F. Zanolin; 19/03/2014: MSc (cum laude) in Mathematics, University of Udine. Title of the thesis: Snap-back repellers. Advisor: Prof. F. Zanolin. Research Activity Research Interests The research activity is driven in the area of Nonlinear Analysis with special attention to boundary value problems (BVPs) associated with ordinary differential equations or partial differential equations. It also reach the study of dynamical systems to model and treat nonlinear phenomena arising from applications. The main arguments addressed follows: L study existence, uniqueness or multiplicity of solutions for nonlinear BVPs with indefinite weights; L study multiplicity of solutions for BVPs with nonlinearities interfering asymptotically with the spectrum of the differential operator; L analysis of complex behavior for discrete and continuous dynamical systems; L numerical simulation to perform bifurcation analysis or investigate on chaotic dynamics. International Collaborations For every collaboration it is indicated institution, collaborator(s), period(s), topic and (title s seminar). L CMAF-CIO (Center for Mathematics, Fundamental Applications and Operations Research), University of Lisbon, Scientific collaboration with Prof. C. Rebelo and Prof. A. Margheri, 07/03 11/04/2018, Analysis of nonlinear differential problems with applications to biology; 01/05 04/08/2017, Analysis of nonlinear differential problems with applications to biology; 03/09 03/12/2016, Research on BVPs applied to population genetics; 13 17/07/2016, Research on the multiplicity of solutions for BVPs associated with second order ODEs, (seminar: Remarks on the Ambrosetti Prodi Periodic Problem); L University of Vigo, Scientific collaboration with Prof. E. Liz, 28/03 08/04/2017, Analysis of discrete dynamical systems applied to population biology, (seminar: Neumann problems with an indefinite weight applied to population genetics);

2 Elisa Sovrano Page 2 of 5 University of Torino, Scientific collaboration with Dr. A. Boscaggin and Dr. G. Feltrin, 02 06/06/2018 (planned), Study of some nonlinear indefinite weight periodic problems; 05 09/02/2018, Study of nonlinear periodic problems with φ-laplacian. Papers Published and In Press [10] E. Sovrano. A negative answer to a conjecture arising in the study of selection-migration models in population genetics. Journal of Mathematical Biology, 76(7): , 2018; [9] E. Sovrano, F. Zanolin. Ambrosetti-Prodi periodic problem under local coercivity conditions, Advanced Nonlinear Studies, 18(1): , 2018; [8] G. Feltrin, E. Sovrano. Three positive solutions to an indefinite Neumann problem: a shooting method, Nonlinear Analysis, 166:87 101, 2018; [7] E. Sovrano. Ambrosetti-Prodi type result to a Neumann problem via a topological approach, Discrete Contin. Dyn. Syst. Ser. S, 11(2): , 2018; [6] E. Sovrano, F. Zanolin. A periodic problem for first order differential equations with locally coercive nonlinearities, Rend. Istit. Mat. Univ. Trieste, 49 pp , 2017; [5] E. Sovrano, F. Zanolin. The Ambrosetti-Prodi periodic problem: Different routes to complex dynamics, Dynamic Systems and Applications 26, , 2017; [4] E. Sovrano, F. Zanolin. Indefinite weight nonlinear problems with Neumann boundary conditions. J. Math. Anal. Appl. 452, , 2017; [3] E. Sovrano. About chaos in the twisted horseshoe map. International Journal of Bifurcation and Chaos, Vol. 26, No. 6, (10 pages), 2016; [2] E. Sovrano, F. Zanolin. Remarks on Dirichlet problems with sublinear growth at infinity. Rend. Istit. Mat. Univ. Trieste 7: , 2015; [1] E. Sovrano, F. Zanolin. Dolcher fixed point theorem and its connections with recent developments on compressive/expansive maps. Rend. Istit. Mat. Univ. Trieste 46: , Preprints [3] G. Feltrin, E. Sovrano, F. Zanolin. Ambrosetti-Prodi type alternative for periodic solutions of local coercive equations with φ-laplacian, submitted 2018 ; [2] G. Feltrin, E. Sovrano. An indefinite nonlinear problem in population dynamics: high multiplicity of positive solutions, submitted 2017 ; [1] E. Sovrano. How to get complex dynamics? A note on a topological approach, submitted Review Activity Referee for: Advances in Difference Equations; Boundary Value Problems. Reviewer for: AMS Math Review.

3 Elisa Sovrano Page 3 of 5 Conferences Contributions For every contribution it is indicated period, congress title (venue), contribution type (CT = Contributed Talk, IT = Invited Talk, MS = Mini Symposium, SS = Special Session, P = Poster): title /07/2018 (planned), 11th European Conference on Mathematical and Theoretical Biology (Lisbon), P: High multiplicity of positive solutions to indefinite problems arising in population genetics, /07/2018 (planned), 12th AIMS Conference on Dynamical Systems Differential Equations and Applications (Taipei), IT: Ambrosetti-Prodi type result under local coercivity conditions (SS14), IT: Existence and multiplicity of periodic solutions to local coercive equations with a φ-laplacian type operator (SS104), /03/2018 (planned), Mini-workshop on ExtraOrdinary Differential Equations (Lisbon), IT: Multiplicity of positive solutions for some indefinite problems, /02/2018, Ninth Workshop Dynamical Systems Applied to Biology and Natural Sciences (Torino), IT: Indefinite nonlinear weight problems in population genetics; /12/2017, Intensive week of PDEs at Spa (Spa), IT: Indefinite nonlinear problems in population genetics: multiplicity of positive solutions; /07/2017, Equadiff 2017 (Bratislava), MS: Multiplicity of positive solutions for indefinite weight problems motivated by population genetics, P: Ambrosetti-Prodi boundary value problems: multiplicity of solutions and chaotic dynamics; /06/2017, International Conference on Differential & Difference Equations and Applications (Amadora), SS: Multiplicity of positive solutions for indefinite Neumann problems with an oscillating nonlinear potential; /01/2016, Nonlinear Meeting in Udine 2017 on the occasion of Pierpaolo Omari s 60th birthday (Udine), CT: Neumann problems with indefinite weight: modelling population genetics; 4. 22/12/2016, ODEs Under Christmas Trees (Udine), IT: Neumann problems with indefinite weight: modelling population genetics, /07/2016, 11th AIMS Conference on Dynamical Systems Differential Equations and Applications (Orlando), IT: Chaotic Dynamics in the Twisted Horseshoe Map Via a Topological Approach (SS80), IT: Remarks on the Ambrosetti-Prodi Periodic Problem (SS92); 2. 04/02/2016, Boundary Value problems in FVG (SISSA, Trieste), CT: Positive solutions of Dirichlet problems with an indefinite weight; /09/2015, VII Symposium on Nonlinear Analysis SNA 2015, (Toruń), CT: Positive solutions of Dirichlet problems with an indefinite weight. Participations For every participation it is indicated period, congress title (venue) /09/2017, International Workshop on Nonlinear Analysis and Differential Equations. A celebration of the 60th birthday of Antonio Cañada, (Granada); /10/2016, Portuguese Meeting in Biomathematics 2016, (Covilhã); /07/2016, Mini-workshop Nonlinear Meeting in Milan 2016, (Milano);

4 Elisa Sovrano Page 4 of /01/2016, An Afternoon of Nonlinear Problems, (Milano); /06/2015, Mini-workshop Nonlinear Meeting in Turin 2015, (Torino); 2. 29/05/2015, Mini-workshop on Dynamical Systems, (Udine); 1. 23/01/2015, Metodi variazionali e applicazioni a modelli matematici. Giornata di studio in onore del Prof. Livio Clemente Piccinini, (Udine). Organisation For the conference organised it is indicated period, congress title (venue), webpage and sponsor(s) /01/2016, Nonlinear Meeting in Udine 2017 on the occasion of Pierpaolo Omari s 60th birthday (Udine), sponsored by University of Udine and GNAMPA INdAM 1. Training Schools For every school it is indicated the period, venue, title, lecturer(s) (affiliation) /06/2018 (planned), Asiago, Stable and Chaotic Motions in the Planetary Problem; /09/2016, Univ. Lisbon, Mini-Course on Dynamics and Differential Equations, M. Levi (Pennsylvania State Univ.); /08/2016, Helsinki, Summer School on Mathematical Ecology and Evolution 2016: Structured Populations, R. Bürger (Univ. Vienna), M. Gyllenberg (Univ. Helsinki), H. Metz (Univ. Leiden), H. Inaba (Univ. Tokyo), A. de Roos (Univ. Amsterdam); /11/2015, Univ. Turin, Autumn school on ODEs and Dynamical systems, T. Bartsch (Univ. Giessen), D. Offin (Univ. Kingston), R. Ortega (Univ. Granada); 1. 20/07 07/08/2015, ICTP-Trieste, Summer School on Dynamical Systems, S. Crovisier (Univ. Paris 13), R. Potrie (CMAT), M. Martens (SUNY at Stony Brooks), J. Marklof (Univ. Bristol), A. Strombergsson (Uppsala Univ.). Courses For every course it is indicated period, lecturer(s) (affiliation): title (venue) /2016, A. Ern (Univ. Paris Est, ENCP): Introduction to finite elements (Univ. Udine); /2015, D. Breda (Univ. Udine): Lyapunov exponents of ordinary differential equations: theory and computation (Univ. Udine); /2015, A. Ern (Univ. Paris Est, ENCP): Advanced numerical methods for differential equations (Univ. Udine); /2014, A. Malchiodi (SISSA, Trieste): Variational methods (SISSA, Trieste). 1 GNAMPA (Gruppo Nazionale per l Analisi Matematica, la Probabilità e le loro Applicazioni) unit of INdAM (Istituto Nazionale di Alta Matematica)

5 Elisa Sovrano Page 5 of 5 Teaching Activities Mathematical Analysis (Teaching Assistant), with Professor F. Zanolin, BSc Engineering Univ. Udine (10/ /2018, 32 h); Advanced Geometry (Teaching Assistant), with Professor F. Zucconi, BSc Mathematics Univ. Udine (10/ /2018, 24 h); Mathematical Analysis (Teaching Assistant), with Professor E. Cabib, BSc Mathematics Univ. Udine (10/ /2018, 24 h); Precalculus (Instructor), BSc Engineering Univ. Udine (09/2017, 20 h); Mathematical Analysis (Teaching Assistant), with Professor F. Zanolin, BSc Mathematics Univ. Udine (12/15 03/2016, 24 h); Precalculus (Instructor), BSc Engineering Univ. Udine (09/2015, 20 h). Research Projects For each project it is indicated funding agency, duration and title. GNAMPA INdAM, 14/03/ /03/2018, Problemi differenziali con peso indefinito: tra metodi topologici e aspetti dinamici,; GNAMPA INdAM, 21/03/ /03/2017, Problemi differenziali non lineari: esistenza, molteplicità e proprietà qualitative delle soluzioni; GNAMPA INdAM, 12/03/ /03/2016, Problemi al contorno associati ad alcune classi di equazioni differenziali non lineari. Languages Italian (native speaker) Portuguese (good command) English (fluent) French (basic communication skills) Technical skills Mathematica (proficient user) MATLAB (independent user) L A TEX (proficient user) Memberships SIAM (since 2017) 2 ESMTB (since 2016) 3 GNAMPA INdAM (since 2015) May 9, 2018 Elisa Sovrano 2 Society for Industrial and Applied Mathematics 3 European Society for Mathematical and Theoretical Biology