Personal Data
Full name
Manuel Duque Pereira Monteiro Marques
Publishing name
Birthday
19570610T00:00:00
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
Cosupervisor
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
Cosupervisor
Scientific area
Matemática
AGREGAÇÃO(1)
Degree date
1997
Final grade
Aprov. por unanim.
Degree granting institution
Outra
School / College / Campus
Other
Thesis title

Supervisor
Cosupervisor
Scientific area
Matemática
Profissional activity
Period  Position  Institution 

20062008  Presidente  Departamento de Matemática, FCUL 
20012007  Professor Catedrático  Departamento de Matemática, F. C. U. L. 
19961998, 20022004  Director  CMAFUL 
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 postgraduate students:<br><br> Raoul Dzonou (Ph. D. student), with Prof. Laetitia Paoli (SaintEtienne): 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 postgraduate students' stages:<br><br>Mirela Gheorghe, from Iasi (at Master level);<br>Hans Schnabel, from Munich (beginning Ph. D. level)<br>Julio Munoz, from CastillalaMancha (postdoc).<br>Adrien Petrov, Lyon (postdoc)<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 1996February 1998, while heading CMAF.<br><br>Mediumsized 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; 19951998.<br><br>Smaller projects:<br> "Integrated PortugueseGerman Action" A8/95 e A4/96, "Inclusões diferenciais em sistemas dinâmicos nãoregulares" (Differential inclusions in nonsmooth dynamical systems), with a team in the University of Cologne; portuguese coordinator; 199596.<br> Bilateral Project JNICTICCTI/CNRS "Análise e controle de sistemas dinâmicos nãoregulares" (Analysis and control of nonsmooth dynamical systems), with a CNRS team, Grenoble; portuguese coordinator; 199799, followed by a similar project in 20002001.<br><br>RECENT PARTICIPATIONS in research projects:<br><br> SICONOS  European Project IST200137172 (20022006), on <br>Modelling, Simulation and Control of Nonsmooth Dynamical Systems (the project funded the thesis of R. Dzonou)<br> European Project HPRNCT200200284 on New materials,adaptive systems and their nonlinearities; modelling control and numerical simulation (2003)<br> Project POCTI/MAT/40867/2001 "Estabilidade de trajectórias quaseestáticas 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), 445461<br>34) (with G. Colombo) Sweeping by a continuous proxregular set, J. Differential Equations 187 (2003) 4662<br>35) (with J. A. C. Martins and A. Petrov) Dynamics with friction and persistent contact, ZAMM, Z. Angew. Math. Mech, 85 (2005) 531538<br>36) (with R. Dzonou) A sweeping process approach to inelastic contact problems with general inertia operators, Eur. J. Mech. A Solids, 26 (2007) 474490.<br>37) (with R. Dzonou and L. Paoli) Algorithme de type "sweeping process" pour un problème de vibroimpact avec un opérateur d´inertie non trivial, C.R. Acad. Sci. Paris, Série IIb  Mécanique, 335 (2007) 5660<br>38)(with J.A.C Martins and A. Petrov) On the stability of quasistatic paths for finite dimensional elasticplastic systems with hardening, ZAMM 87(2007) 303313. <br>39) (with N. Chemetov) Nonconvex quasivariational differential inclusions, SetValued Analysis, 15 (2007) 209221.<br>40) (with N. Chemetov and U. Stefanelli) Ordered nonconvex quasivariational sweeping processes, Journal of Convex Analysis, 15 (2008) 201214.<br>41) (with J. A. C. Martins and A. Petrov)On the stability of elasticplastic systems with hardening, J. Math. Anal. Appl., 343 (2008) 10071021.
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) 307310.<br>3) Sur la frontière d\'un convexe mobile, Atti della Acc. Naz. dei Lincei Rend. Cl. Sci. Fis. Mat. Natur. 77 (1984) 7175.<br>4) Regularization and graph approximation of a discontinuous evolution problem, Journal of Differential Equations, 67 (1987) 145164.<br>5) Minimization of integral functionals depending on Lipschitz domains, Numerical Functional Analysis and Optimization, 10 (1989) 9911002.<br>6) Approximation methods for a quasistatic twodimensional evolution problem with frictional unilateral constraint, Advances in Mathematical Sciences and Applications, 2 (1993) 91115.<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) 113133.<br>8) An existence, uniqueness and regularity study of the dynamics of systems with onedimensional friction, European Journal of Mechanics A/Solids, 13 (1994) 277306.<br>9) (with C. Castaing) Sweeping processes by nonconvex closed moving sets with perturbation, C. R. Acad. Sci. Paris Série I, 319 (1994) 127132.<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) 133140.<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) 421455.<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) 19591986.<br>13) (with M. Laghdir) Motion of a particle submitted to dry friction and to normal percussions, Portugaliæ Mathematica, 52 (1995) 227239.<br>14) (with M. Laghdir) Dynamics of a particle with damping, friction and percussional effects, J. Math. Anal. and Appl., 196 (1995) 902920.<br>15) (with T. X. Duc Ha) Nonconvex secondorder differential inclusions with memory, SetValued 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) 421431.<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) 531536.<br>18) (with C. Castaing) BV periodic solutions of an evolution problem associated with continuous moving convex sets, SetValued Analysis, 3 (1995) 381399.<br>19) (with C. Castaing) Periodic solutions of evolution problem associated with moving convex sets, Discussiones MathematicæDifferential Inclusions, 15 (1995) 99127.<br>20) (with C. Castaing) Evolution problems associated with nonconvex closed moving sets with bounded variation, Portug. Mathem., 53 (1996) 7387.<br>21) (with M. Kunze) YosidaMoreau regularization of sweeping processes with unbounded variation, Journal of Differential Equations, 130 (1996) 292306.<br>22) (with M. Kunze) B. V. solutions to evolution problems with timedependent domains, C. R. Acad. Sci. Paris Série I, 323 (1996) 993998.<br>23) (with M. Kunze) B. V. solutions to evolution problems with timedependent domains, SetValued Analysis, 5 (1997) 5772.<br>24) (with M. Kunze) Existence of solutions for degenerate sweeping processes, Journal of Convex Analysis, 4 (1997) 165176.<br>25) (with C. Castaing) Topological properties of solution sets for sweeping processes with delay, Portugaliæ Mathematica, 54 (1997) 485507.<br>26) (with M. Laghdir) Measuredifferential inclusions in percussional dynamics, Journal of Convex Analysis, 4 (1997) 381393.<br>27) (with M. Kunze) On the discretization of degenerate sweeping processes, Portugaliæ Mathematica, 55 (1998) 219232.<br>28) (with F. Gastaldi and J.A.C. Martins) Mathematical analysis of a two degreeoffreedom frictional contact problem with discontinuous solutions, Mathematical and Computer Modelling, 28 (1998) 247261.<br>29) (with M. Kunze) On parabolic quasivariational inequalities and statedependent sweeping processes, Topological Methods in Nonlinear Analysis, 12 (1998) 179191.<br>30) (with B. Brogliato and S. Niculescu) On tracking control of a class of complementaryslackness hybrid mechanical systems, Systems and Control Letters, 39 (2000) 255266.<br>31) (with O. Carja) Viability for nonautonomous semilinear differential equations, in Journal of Differential Equations, 166 (2000) 328346.<br>32) (with O. Carja) Viability results for nonautonomous differential inclusions, 7 (2000) 445452.<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)
 (coeditor, with J. F. Rodrigues) Trends in Applications of Mathematics to Mechanics, Proceedings of the Symposium STAMM94 held in Lisbon, Longman,1995<br><br>(coeditor, with J. A. C. Martins) Contact Mechanics, Proceedings of the Third Contact Mechanics International Symposium, Praia da Consolação, Peniche, Portugal, 1721 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, BaselBostonBerlin, 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 degreeoffreedom "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. 217228.<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. 229236.<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. 5770.<br>6) (with M. Kunze) Degenerate sweeping processes, in "Proceedings IUTAM Symposium on Variations of Domains and FreeBoundary Problems in Solid Mechanics, Paris 1997" (P. Argoul, M. Frémond and Q. S. Nguyen, Eds.), Kluwer Acad. Press, Dordrecht, 1999, pp. 301307. <br>7) (with M. Kunze) A note on Lipschitz continuous solutions of a parabolic quasivariational inequality, in "Nonlinear Evolution Equations and Their Applications" (Tatsien Li, Longwei 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 quasistatic paths of some finite dimensional smooth or elasticplastic systems, Journal of Physics: Conference Series, 22 (2005) 124138.<br>9) (with L. Paoli)An existence result in nonsmooth dynamics, in "Nonsmooth mechanics and analysis", Adv. Mech. Math, 12, Springer, 2006, pp. 279288.<br>10) (with J. A. C. Martins and N. V. Rebrova) On the stability of quasistatic 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. 351358.<br>11) (with A. Petrov and J. A. C. Martins) Mathematical results on the stability of quasistatic paths of elasticplastic systems with hardening, in "Topics on mathematics for smart systems", p. 167182, World Sci. Publ., 2007.