Alberto Valli

Via Sommarive, 14 - 38123 Povo
tel. 0461 281580
alberto.valli[at]unitn [dot] it
Area CUN: Scienze matematiche e informatiche (01)
Settore scientifico disciplinare: ANALISI MATEMATICA (MAT/05)

Formazione
1975/76 & 1976/77 Postgraduate student, Scuola Normale Superiore di Pisa, Italy
1975 Degree in Mathematics, University of Pisa, Italy (Advisor: Prof. Giovanni Prodi)
Carriera accademica ed attività didattica
1987/88 - present Full Professor, University of Trento
1990/91 Senior Fellow, AHPCRC, University of Minnesota, Minneapolis, U.S.A.
1982/83 - 1986/87 Associate Professor, University of Trento
1979/80 - 1981/82 Reader, University of Trento
1977/78 & 1978/79 Assistant, University of Trento

1999/2005 Director of the Department of Mathematics, University of Trento
1993/97 Director of the Ph.D. Program in Mathematics, University of Trento
1988/90 Director of the Department of Mathematics, University of Trento

Teaching activity
2006/07 (2nd semester) Mathematical Methods for Engineering (Course for the PhD program, Department of Environmental Engineering, Trento)
2006/07 (1st semester) Calculus I (Engineering, Trento)
2006/07 Calculus I (Engineering, Trento)
2005/06 (2nd semester) Partial Differential Equations, Numerical Approximation and Domain Decomposition Methods (Short course for the PhD program, Department of Physics, Parma)
2005/06 (2nd semester) Mathematical Methods for Engineering (Course for the PhD program, Department of Environmental Engineering, Trento)
2005/06 (1st semester) Calculus I (Engineering, Trento)
2005/06 Calculus I (Engineering, Trento)
2004/05 (2nd semester) Mathematical Methods for Engineering (Course for the PhD program, Department of Environmental Engineering, Trento)
2004/05 Calculus I (Engineering, Trento)
2003/04 (2nd semester) Mathematical Methods for Engineering (Course for the PhD program, Department of Environmental Engineering, Trento)
2003/04 (1st semester) Calculus I (Engineering, Trento)
2003/04 Calculus I (Engineering, Trento)
2002/03 (2nd semester) Mathematical Methods for Engineering (Course for the PhD program, Department of Environmental Engineering, Trento)
2002/03 (1st semester) Calculus I (Engineering, Trento)
2002/03 Calculus II (Engineering, Trento)
2001/02 (2nd semester) Finite Element Methods for PDEs (Course for the PhD program, Department of Environmental Engineering, Trento)
2001/02 (2nd semester) Calculus II (Engineering, Trento)
2001/02 (1st semester) Numerical Analysis (Engineering, Trento)
2001/02 Calculus II (Engineering, Trento)
2000/01 (1st semester) Finite Element Methods for PDEs (Course for the PhD program, Department of Environmental Engineering, Trento)
2000/01 (1st semester) Numerical Analysis (Engineering, Trento)
2000/01 Calculus II (Engineering, Trento)
1999/2000 (1st semester) Numerical Analysis (Engineering, Trento)
1999/2000 Calculus I (Engineering, Trento)
1998/99 (2nd semester) Finite Element Methods for PDEs (Short course for the PhD program, Department of Mathematics, Pisa)
1998/99 (2nd semester) Numerical Approximation of Linear PDEs (Mathematics, Trento)
1998/99 (1st semester) Finite Element Methods for PDEs (Short course for the PhD program, Department of Mathematics, Trento)
1998/99 Calculus I (Engineering, Trento)
1997/98 (2nd semester) Numerical Approximation of Linear PDEs (Mathematics, Trento)
1997/98 Calculus II (Engineering, Trento)
1994/95 - 1996/97 Numerical Approximation of Linear PDEs (Mathematics, Trento); Calculus II (Engineering, Trento)
1993/94 Numerical Approximation of Linear PDEs (Mathematics, Trento); Calculus I (Physics, Trento)
1992/93 (2nd semester) Finite Differences for Linear PDE (Mathematics, Trento)
1992/93 Finite Elements for Linear PDEs (Mathematics, Trento)
1991/92 (1st semester) Advanced PDEs (Mathematics, Trento)
1991/92 Finite Elements for Linear PDEs (Mathematics, Trento)
1987/88 - 1989/90 Finite Elements for Linear PDEs (Mathematics, Trento)
1986/87 Calculus I (Engineering, Trento); Calculus II (Engineering, Trento)
1985/86 Calculus I (Engineering, Trento)
1984/85 Calculus II (Physics and Mathematics, Trento)
1982/83 & 1983/84 Calculus II (Engineering, Trento)
1980/81 & 1981/82 Calculus II (Engineering, Trento); Exercitation of Calculus II (Physics and Mathematics, Trento)
1979/80 Calculus II (Engineering, Trento); Exercitation of Geometry II (Physics and Mathematics, Trento)
1978/79 (2nd semester) Exercitation of Calculus II (Engineering, Trento)
1977/78 Exercitation of Calculus II (Physics and Mathemat-ics, Trento)
1976/77 (2nd semester) Exercitation of Calculus I (Informatics, Pisa)
1976/77 (1st semester) Exercitation of Geometry (Informatics, Pisa)
Interessi di ricerca
Numerical approximation of partial differential equations (especially in fluid dynamics and electromagnetism). Finite element method. Domain decomposition method.
Theoretical aspects of partial differential equations (existence and uniqueness theorems, qualitative properties of the solutions).
Attività di ricerca
i) Visiting professor at the University of: Paris Sud (Orsay), France (four months, 1978/79); Alger, Algeria (one week, 1979); Bonn, West Germany (one week, 1980); Karlsruhe, West Germany (two weeks, 1984); Lausanne, Switzerland (one week, 1990); Minnesota (Minneapolis), USA (ten months, 1990/91); Madrid (Complutense), Spain (one week, 1995); Lausanne, Switzerland (two weeks, 1999); Lausanne, Switzerland (two weeks, 2000); Lausanne, Switzerland (two weeks, 2001); Lausanne, Switzerland (two weeks, 2002).
Visiting at CRS4 Cagliari, Italy (one week, 1993).

ii) Invited talks at the University of: Trento, Italy (1977); Paris Sud (Orsay), France (1979); Alger, Algeria (1979); Bonn, West Germany (1980); Milano (Politecnico), Italy (1982); Pisa (Scuola Normale), Italy (1982); Firenze, Italy (1982); Roma (Tor Vergata), Italy (1983); Pisa (Scuola Normale), Italy (1983); Karlsruhe, West Germany (1984); Pavia, Italy (1985); Ferrara, Italy (1987); Roma (La Sapienza), Italy (1987); L'Aquila, Italy (1987); Parma, Italy (1988); Pisa, Italy (1990); Wisconsin (Madison), USA (1990); Minnesota (Minneapolis), USA (1990 and 1991); Paris XII (Creteil), France (1994); Madrid (Complutense), Spain (1995); Parma, Italy (1995); Pisa, Italy (1996); Zürich, Switzerland (1996); Firenze, Italy (1996); Roma, Italy (1996); Pisa, Italy (1998); Paris IX (Orsay), France (1998); Linz, Austria (2000); Pisa, Italy (2005); Torino, Italy (2006).

iii) Partecipant as invited speaker at the Conference: Equadiff 6, Brno (Czechoslovakia, 1985); Fluidodynamics, Pisa (Italy, 1987); Equadiff 87, Xanthi (Greece, 1987); EVEQ 88, Stoky (Czechoslovakia, 1988); The Navier-Stokes Equations: Theory and Numerical Methods, Oberwolfach (West Germany, 1988); Theoretical Fluid Mechanics and Applications, Trieste (Italy, 1989); Nonlinear Partial Differential Equations, Padova (Italy, 1990); Modelli Matematici nelle Scienze Applicate, Pisa (Italy, 1990); 4th International Conference on Domain Decomposition Methods, Moscow (USSR, 1990); 5th International Conference on Domain Decomposition Methods, Norfolk (USA, 1991); The Navier-Stokes Equations II: Theory and Numerical Methods, Oberwolfach (West Germany, 1991); Mathematical Topics in Fluid Mechanics, Lisboa (Portugal, 1991), Modelli Matematici e Numerici in Fluidodinamica e Applicazioni, Pisa (Italy, 1992); Workshop on Qualitative Aspects and Applications of Nonlinear Evolution Equations, Trieste (Italy, 1993); Metz Days 1995-Fluid Flows, Metz (France, 1995); 7th International Congress on Computational and Applied Mathematics, Leuven (Belgium, 1996); International Conference on Applied Analysis, Lisboa (Portugal, 1997); Numerical Modelling in Continuum Mechanics, Praha (Czech Republic, 1997); SIMAI 98, Giardini Naxos (Italy, 1998); Nonlinear Partial Differential Equations and Applications, Lisboa (Portugal, 1999); MAFELAP 1999, Uxbridge (United Kingdom, 1999); ICIAM 1999, Edinburgh (United Kingdom, 1999)); Computational Electromagnetics (GAMM Workshop), Kiel (Germany, 2001); Domain Decomposition Methods, Zurich (Switzerland, 2001); Modelling 2001 (2nd IMACS Conference), Pilsen (Czech Republic, 2001); International Workshop on Nonlinear Partial Differential Equations: Theory and Applications, Madeira (Portugal, 2003); 15th International Conference on Domain Decomposition Methods, Berlin (Germany, 2003); Advances in Numerical Algorithms, Graz (Austria, 2003); Computational Electromagnetism, Oberwolfach (Germany, 2004); Computational Methods for Coupled Problems in Science and Engineering, Santorini (Greece, 2005); The Third European Finite Element Fair, Pavia (Italy, 2005); Second Chilean Workshop on Numerical Analysis of Partial Differential Equations, WONAPDE 2007, Concepcion (Chile, 2007).

iv) Partecipant and speaker at the Conference: Approximation Methods for Navier-Stokes Problems, Paderborn (West Germany, 1979); Congresso U.M.I., Palermo (Italy, 1979); Nonlinear Partial Differential Equations, Trento (Italy, 1980); Convegno G.N.A.F.A., Rimini (Italy, 1980); Fluid Dynamics, Varenna (Italy, 1982); Nonlinear Functional Analysis and Applications, Berkeley (U.S.A., 1983); Nonlinear Variational Problems, Lacona (Italy, 1983); BAIL IV, Novosibirsk (U.S.S.R., 1986); Equadiff 7, Praha (Czechoslovakia, 1989); Convegno Gruppo 40% Equazioni differenziali, Trento (Italy, 1990); Equadiff 95, Lisboa (Portugal, 1995).

v) Member of the Organizing Committee of the: 6th International Conference on Domain Decomposition Methods, Como (Italy, 1992); 7th International Conference Evolution Equations 2000, Trento (Italy, 2000).
Member of the Scientific Committee of the: School on Numerical Simulation of Partial Differential Equations: Methods, Algorithms, Applications, Trieste (Italy, 1996); Conference "Partial Differential Equations in Mathematical Physics", in memory of Olga A. Ladyzhenskaya, Levico T. (Italy, 2004).
Member of the Advisory Board of Equadiff 10, Praha (Czech Republic, 2001)
Convegni e conferenze
Partecipant at the Conference: Hyperbolicity, Cortona (Italy, 1976); Pseudo-differential Operators with Applications, Bressanone (Italy, 1977); Mathematics and Medical Sciences, Montecatini (Italy, 1978); Two-dimensional and Quasi-two-dimensional Turbulence, Grenoble (France, 1978); Convegno G.N.A.F.A., Rimini (Italy, 1978); Bifurcation Phenomena in Mathematical Physics, Cargèse (France, 1979); Mathematical Problems in Continuum Mechanics, Trento (Italy, 1981); Convegno G.N.A.F.A., Rimini (Italy, 1981); Computing Methods in Applied Science and Engineering V, Versailles (France, 1981); Variational Methods for Equilibrium Problems of Fluids, Trento (Italy, 1983); Contact and Optimization Problems in Elasticity, Trento (Italy, 1984); Frontiers of Mathematical Sciences, New York (U.S.A., 1985); Partial Differential Equations, Madison (U.S.A., 1985); Free Boundary Problems, Pavia (Italy, 1986); Calculus of Variations and Partial Differential Equations, Trento (Italy, 1986); Biomathematics and Fluid Dynamics Problems, Pavia (Italy, 1986); Bifurcation Theory and Its Numerical Analysis, Xi'an (P.R.China, 1988); Hermes Meeting 1988, Aachen (West Germany, 1988); Streamline Diffusion Methods in Fluid Mechanics, Cortona (Italy, 1989); ICOSAHOM '89, Como (Italy, 1989); Applied and Industrial Mathematics, Venezia (Italy, 1989); Non-linear Partial Differential Equations, Lancaster (United Kingdom, 1990); Free Boundaries in Viscous Flows, Minneapolis (USA, 1991); 9th Army Conference on Applied Mathematics and Computing, Minneapolis (USA, 1991); Numerical Methods for the Navier-Stokes Equations, Heidelberg (Germany, 1993); Coupling Equations of Different Type and Complexity, Pavia (Italy, 1994); State of the Art in Numerical Analysis, York (United Kingdom, 1996).
Altre attività
(i) Member of the Jury of the Ph.D. Thesis: R. Talhouk (University of Paris-Sud, Orsay, France, October 1994); M. Bjorhus (University of Trondheim, Norway, July 1995); P. Azérad (University of Neuchatel, Switzerland, October 1995); G. Sangalli (University of Milan, January 2002); P. Salgado (University of Santiago de Compostela, Spain, December 2002); M. Sala (Ecole Polytechnique Federale de Lausanne, Switzerland, February 2003); M. Discacciati (Ecole Polytechnique Federale de Lausanne, Switzerland, October 2004); V. Selgas (University of Oviedo, Spain, February 2006).

(ii) Advisor of the Ph.D. Thesis: R.L. Trotta (University of Trento, February 1997); P. Coletti (University of Trento, February 1998); L.C. Berselli (University of Pisa, February 2000); L. Gerardo Giorda (University of Trento, December 2002).

(iii) Referee for: Acta Applicandae Mathematicae; Advances in Mathematical Sciences and Applications; Analysis; Annali della Scuola Normale Superiore di Pisa; Annali di Matematica Pura ed Applicata; Applied Numerical Mathematics; Archive for Rational Mechanics and Analysis; Bollettino dell'Unione Matematica Italiana; Comitato di Indirizzo per la Valutazione della Ricerca (CIVR); Communications in Mathematical Physics; Computer Methods in Applied Mechanics and Engineering; Czechoslovak Academy of Sciences; Differential and Integral Equations; Dynamic Systems and Applications; Grant Agency of the Czech Republic; IMA Journal of Numerical Analysis; International Journal for Numerical Methods in Engineering; International Science Foundation; Journal of Functional Analysis; Journal of Mathematical Analysis and Applications; Journal of Mathematical Fluid Mechanics; Journal of Scientific Computing; Lecture Notes in Computational Science and Engineering; Mathematics and Computers in Simulation; M2AN: Mathematical Modelling and Numerical Analysis; M3AS: Mathematical Model and Methods in Applied Sciences; National Academy of Sciences/National Research Council; National Science Foundation; Netherlands Organization for Scientific Research; Nonlinear Differential Equations and Applications; Numerical Algorithms; Numerical Methods for Partial Differential Equations; Numerische Mathematik; Oxford University Press; Rendiconti del Seminario Matematico dell'Università di Padova; Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino; Rendiconti di Matematica; Serdica Mathematical Journal; SIAM Journal on Mathematical Analysis; SIAM Journal on Numerical Analysis; SIAM Journal on Scientific Computing; The Croucher Foundation; ZAMP (Zietschrift für angewandte Mathematik und Physik).

(iv) Reviewer for "Mathematical Reviews" since 1979.