Personal Data

Full name

Manuel Duque Pereira Monteiro Marques

Publishing name

Birthday

1957-06-10T00:00:00

Academic Degrees

DOUTORAMENTO(0)

Degree date

1988

Final grade

Distincao e louvor

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

ND

Supervisor

Co-supervisor

Scientific area

Matemática

LICENCIATURA(5)

Degree date

1980

Final grade

19/20

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

ND

Supervisor

Co-supervisor

Scientific area

Matemática

AGREGAÇÃO(1)

Degree date

1997

Final grade

Aprov. por unanim.

Degree granting institution

Outra

School / College / Campus

Other

Thesis title

-

Supervisor

Co-supervisor

Scientific area

Matemática

Profissional activity

Period Position Institution
2006-2008 Presidente Departamento de Matemática, FCUL
2001-2007 Professor Catedrático Departamento de Matemática, F. C. U. L.
1996-1998, 2002-2004 Director CMAF-UL

Area of scientific activity

Area of scientific activity

Mathematical Analysis<br>Differential Inclusions<br>Applications to Mechanics<br>Calculus of Variations

Specialization domain

-

Current main scientific area

Differential inclusions and their applications to mechanical problems<br>Calculus of Variations

Other scientific activities

-

Experience as scientific advisor

Supervision of post-graduate students:<br><br>- Raoul Dzonou (Ph. D. student), with Prof. Laetitia Paoli (Saint-Etienne): PhD obtained in 2007.<br>- Natalie Rebrova (Ph. D. student), with Prof. João A. C. Martins (IST, Lisboa)[deceased 2008]: Universidade de Lisboa; discontinued in 2008, also because the student left for the University of Cork, having been unable to obtain simultaneously a scholarship AND the resident status in Portugal. <br><br>- Occasional supervision of post-graduate students' stages:<br><br>Mirela Gheorghe, from Iasi (at Master level);<br>Hans Schnabel, from Munich (beginning Ph. D. level)<br>Julio Munoz, from Castilla-la-Mancha (post-doc).<br>Adrien Petrov, Lyon (post-doc)<br>

Participations in R&D projects

COORDINATION of research projects:<br><br>Large project:<br>- Project Praxis/2/2.1/MAT/125/94 "Análise local e global das equações diferenciais. Fundamentos e aplicações"(Local and global analysis of differential equations. Foundations and applications), involving most CMAF members; May 1996-February 1998, while heading CMAF.<br><br>Medium-sized project:<br>- Project Praxis/3/3.1/CTM/10/94 "Estudo e desenvolvimento de modelos matemáticos, mecânicos e computacionais aplicados à análise do comportamento de estruturas do corpo humano" (Study and development of mathematical, mechanical and computational models applied to the analysis of the behaviour of human body structures); coordinator of the team of the Department of Mathematics/FCUL; 1995-­1998.<br><br>Smaller projects:<br>- "Integrated Portuguese-German Action" A­8/95 e A-4/96, "Inclusões diferenciais em sistemas dinâmicos não­regulares" (Differential inclusions in non-smooth dynamical systems), with a team in the University of Cologne; portuguese coordinator; 1995-96.<br>- Bilateral Project JNICT-ICCTI/CNRS "Análise e controle de sistemas dinâmicos não-regulares" (Analysis and control of non-smooth dynamical systems), with a CNRS team, Grenoble; portuguese coordinator; 1997-99, followed by a similar project in 2000-2001.<br><br>RECENT PARTICIPATIONS in research projects:<br><br>- SICONOS - European Project IST2001-37172 (2002-2006), on <br>Modelling, Simulation and Control of Nonsmooth Dynamical Systems (the project funded the thesis of R. Dzonou)<br>- European Project HPRN-CT-2002-00284 on New materials,adaptive systems and their nonlinearities; modelling control and numerical simulation (2003-)<br>- Project POCTI/MAT/40867/2001 "Estabilidade de trajectórias quase-estáticas e problemas de perturbação<br>singular".

Awards

Year Award Awarding entity

Publications

Artigos em revistas de circulação internacional com arbitragem científica

  • 33) (with O. Carja) Weak tangency, weak invariance, and Caratheodory mappings, J. Dynam. Control Systems 8 (2002), 445-461<br>34) (with G. Colombo) Sweeping by a continuous prox-regular set, J. Differential Equations 187 (2003) 46-62<br>35) (with J. A. C. Martins and A. Petrov) Dynamics with friction and persistent contact, ZAMM, Z. Angew. Math. Mech, 85 (2005) 531-538<br>36) (with R. Dzonou) A sweeping process approach to inelastic contact problems with general inertia operators, Eur. J. Mech. A Solids, 26 (2007) 474-490.<br>37) (with R. Dzonou and L. Paoli) Algorithme de type "sweeping process" pour un problème de vibro-impact avec un opérateur d´inertie non trivial, C.R. Acad. Sci. Paris, Série IIb - Mécanique, 335 (2007) 56-60<br>38)(with J.A.C Martins and A. Petrov) On the stability of quasi-static paths for finite dimensional elastic-plastic systems with hardening, ZAMM 87(2007) 303-313. <br>39) (with N. Chemetov) Non-convex quasi-variational differential inclusions, Set-Valued Analysis, 15 (2007) 209-221.<br>40) (with N. Chemetov and U. Stefanelli) Ordered non-convex quasi-variational sweeping processes, Journal of Convex Analysis, 15 (2008) 201-214.<br>41) (with J. A. C. Martins and A. Petrov)On the stability of elastic-plastic systems with hardening, J. Math. Anal. Appl., 343 (2008) 1007-1021.

Artigos em revistas de circulação internacional com arbitragem científica

  • 1) Hyperélasticité et existence de fonctionnelle énergie, Journal de Mécanique Théorique et Appliquée, 3 (1984) 339­347.<br>2) Rafle par un convexe semi­continu inférieurement d\'intérieur non vide en dimension finie, C. R. Acad. Sci. Paris, Série I, 299 (1984) 307­-310.<br>3) Sur la frontière d\'un convexe mobile, Atti della Acc. Naz. dei Lincei Rend. Cl. Sci. Fis. Mat. Natur. 77 (1984) 71­-75.<br>4) Regularization and graph approximation of a discontinuous evolution problem, Journal of Differential Equations, 67 (1987) 145­-164.<br>5) Minimization of integral functionals depending on Lipschitz domains, Numerical Functional Analysis and Optimization, 10 (1989) 991-­1002.<br>6) Approximation methods for a quasistatic twodimensional evolution problem with frictional unilateral constraint, Advances in Mathematical Sciences and Applications, 2 (1993) 91­-115.<br>7) (with F. Gastaldi and J. Martins) On an example of non­existence of solution to a quasistatic frictional contact problem, European Journal of Mechanics A/Solids, 13 (1994) 113­-133.<br>8) An existence, uniqueness and regularity study of the dynamics of systems with one-­dimensional friction, European Journal of Mechanics A/Solids, 13 (1994) 277-­306.<br>9) (with C. Castaing) Sweeping processes by nonconvex closed moving sets with perturbation, C. R. Acad. Sci. Paris Série I, 319 (1994) 127­-132.<br>10) (with C. Castaing) A multivalued version of Scorza­Dragoni\'s theorem with an application to normal integrands, Bull. Pol. Acad. Sci. Mathematics, 42 (1994) 133­-140.<br>11) (with F. Gastaldi and J. A. C. Martins) A two degree­of­freedom quasistatic contact problem with viscous damping, Advances in Mathematical Sciences and Applications, 5 (1995) 421­-455.<br>12) (with J.A.C. Martins, F.M.F. Simões and F. Gastaldi) Dissipative graph solutions for a two degree­of­freedom quasistatic frictional contact problem, Int. J. Engng. Science, 33 (1995) 1959-­1986.<br>13) (with M. Laghdir) Motion of a particle submitted to dry friction and to normal percussions, Portugaliæ Mathematica, 52 (1995) 227-­239.<br>14) (with M. Laghdir) Dynamics of a particle with damping, friction and percussional effects, J. Math. Anal. and Appl., 196 (1995) 902­-920.<br>15) (with T. X. Duc Ha) Nonconvex second­order differential inclusions with memory, Set-­Valued Analysis, 3 (1995) 71­86.<br>16) (with A. Ornelas) Genericity and existence of a minimum for scalar integral functionals, J. Optim. Theory and Appl., 86 (1995) 421­-431.<br>17) (with C. Castaing) Periodic solutions of evolution problems associated with a moving convex set, C. R. Acad. Sci. Paris Série I, 321 (1995) 531-­536.<br>18) (with C. Castaing) BV periodic solutions of an evolution problem associated with continuous moving convex sets, Set­Valued Analysis, 3 (1995) 381-­399.<br>19) (with C. Castaing) Periodic solutions of evolution problem associated with moving convex sets, Discussiones Mathematicæ­-Differential Inclusions, 15 (1995) 99-­127.<br>20) (with C. Castaing) Evolution problems associated with nonconvex closed moving sets with bounded variation, Portug. Mathem., 53 (1996) 73-­87.<br>21) (with M. Kunze) Yosida­-Moreau regularization of sweeping processes with unbounded variation, Journal of Differential Equations, 130 (1996) 292-306.<br>22) (with M. Kunze) B. V. solutions to evolution problems with time­dependent domains, C. R. Acad. Sci. Paris Série I, 323 (1996) 993-998.<br>23) (with M. Kunze) B. V. solutions to evolution problems with time­dependent domains, Set-­Valued Analysis, 5 (1997) 57-72.<br>24) (with M. Kunze) Existence of solutions for degenerate sweeping processes, Journal of Convex Analysis, 4 (1997) 165-176.<br>25) (with C. Castaing) Topological properties of solution sets for sweeping processes with delay, Portugaliæ Mathematica, 54 (1997) 485-507.<br>26) (with M. Laghdir) Measure-differential inclusions in percussional dynamics, Journal of Convex Analysis, 4 (1997) 381-393.<br>27) (with M. Kunze) On the discretization of degenerate sweeping processes, Portugaliæ Mathematica, 55 (1998) 219-232.<br>28) (with F. Gastaldi and J.A.C. Martins) Mathematical analysis of a two degree­-of-­freedom frictional contact problem with discontinuous solutions, Mathematical and Computer Modelling, 28 (1998) 247-261.<br>29) (with M. Kunze) On parabolic quasi-variational inequalities and state-dependent sweeping processes, Topological Methods in Nonlinear Analysis, 12 (1998) 179-191.<br>30) (with B. Brogliato and S. Niculescu) On tracking control of a class of complementary-slackness hybrid mechanical systems, Systems and Control Letters, 39 (2000) 255-266.<br>31) (with O. Carja) Viability for nonautonomous semilinear differential equations, in Journal of Differential Equations, 166 (2000) 328-346.<br>32) (with O. Carja) Viability results for nonautonomous differential inclusions, 7 (2000) 445-452.<br>

Capítulos de livros

  • (with M. Kunze) An introduction to Moreau\'s sweeping process, in "Impacts in Mechanical Systems. Analysis and Modelling" (B. Brogliato, Ed.), Springer, 2000

Capítulos de livros

Livros (editor)

  • (co-editor, with J. F. Rodrigues) Trends in Applications of Mathematics to Mechanics, Proceedings of the Symposium STAMM94 held in Lisbon, Longman,1995<br><br>(co-editor, with J. A. C. Martins) Contact Mechanics, Proceedings of the Third Contact Mechanics International Symposium, Praia da Consolação, Peniche, Portugal, 17-21 June 2001, Kluwer Academic Publishers, 2002

Livros (autor)

  • Differential Inclusions in Nonsmooth Mechanical ProblemsShocks and Dry Friction, Series Progress in Nonlinear Differential Equations and Their Applications, 9, (iv+179p.), Birkhauser Verlag, Basel-Boston-Berlin, 1993

Communications

Outras comunicações orais

Several, but not all, communications of all types (invited or not) leading to publication:<br><br>1) Externally induced dissipative collisions, in "Mathematical Models for Phase Change Problems: Proceedings of the European Workshop held at Óbidos, Portugal, October 1­3, 1988", Birkhäuser Verlag, Basel­Boston­Berlin, ISNM vol. 88, 1989, p. 301­312.<br>2) (with J. A. C. Martins, F. Gastaldi and F. M. F. Simões) A two degree-­of-­freedom "quasi­static" frictional contact problem with instantaneous jumps, in "Proceedings Contact Mechanics International Symposium, October 7­9, 1992, EPFL, Lausanne, Switzerland" (A. Curnier, Ed.), Presses Polytechniques et Universitaires Romandes, Lausanne, 1992, p. 217­-228.<br>3) Approximation methods for a quasistatic twodimensional evolution problem with frictional unilateral constraint, in "Proceedings Contact Mechanics International Symposium, October 7­9, 1992, EPFL, Lausanne, Switzerland" (A. Curnier, Ed.), Presses Polytechniques et Universitaires Romandes, Lausanne, 1992, p. 229-­236.<br>4) Minimization of functionals on classes of Lipschitz domains and BV functions, in "Emerging applications in free boundary problems" (J. M. Chadam and H. Rasmussen, Eds.), Pitman Research Notes in Mathematics Series n 280, Longman, 1993, p. 229­234.<br>5) (with J. A. C. Martins and F. Gastaldi) On some frictional contact problems with softening character: examples and analysis, in "Trends in Applications of Mathematics to Mechanics" (M.D.P. Monteiro Marques and J. F. Rodrigues, Eds.), Proceedings of the symposium STAMM94 held in Lisbon, Longman, 1995, p. 57-­70.<br>6) (with M. Kunze) Degenerate sweeping processes, in "Proceedings IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics, Paris 1997" (P. Argoul, M. Frémond and Q. S. Nguyen, Eds.), Kluwer Acad. Press, Dordrecht, 1999, pp. 301-307. <br>7) (with M. Kunze) A note on Lipschitz continuous solutions of a parabolic quasi-variational inequality, in "Nonlinear Evolution Equations and Their Applications" (Ta-tsien Li, Long-wei Lin and J.F. Rodrigues, Eds.), World Scientific, Singapura, 1999.<br>8) (with J. A. C. Martins, A. Petrov, N. V. Rebrova, V. A. Sobolev and I.Coelho), (In)stability of quasi-static paths of some finite dimensional smooth or elastic-plastic systems, Journal of Physics: Conference Series, 22 (2005) 124-138.<br>9) (with L. Paoli)An existence result in non-smooth dynamics, in "Nonsmooth mechanics and analysis", Adv. Mech. Math, 12, Springer, 2006, pp. 279-288.<br>10) (with J. A. C. Martins and N. V. Rebrova) On the stability of quasi-static paths of a linearly elastic system with friction, in "Analysis and Simulation of Contact Problems",P. Wriggers and U. Nackenhorst (eds), Lect. Notes in Appl. and Comp. Mechanics 27, 2006, pp. 351-358.<br>11) (with A. Petrov and J. A. C. Martins) Mathematical results on the stability of quasi-static paths of elastic-plastic systems with hardening, in "Topics on mathematics for smart systems", p. 167-182, World Sci. Publ., 2007.