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José Francisco Rodrigues is a Portuguese Professor of Mathematics at the Faculty of Sciences of the University of Lisbon. He works in mathematical analysis of nonlinear partial differential equations and, in particular, in free boundary problems. He had studied in Lisbon and in Paris, and he has visited and has given lectures in many Mathematical Institutes, Conferences and Universities in Europe, USA, Brasil, Russia, Japan, Australia and China (Suzhou, Macau, Hong Kong, Shanghai and Beijing). He has also interdisciplinary interests and activities in the relations and interactions of Mathematics with other Sciences and with General Culture, including Communication, History, Music, Literature and Architecture. He was Director of the research center CMAF/Univ. Lisboa and of the Portuguese CIM (Centro Internacional de Matemática). He served in several European Mathematical Society (EMS) Committees and is, since 2022, Vice-General-Secretary of the Lisbon Academy of Science, to which he belongs since 1994.
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Identification

Personal identification

Full name
José Francisco Rodrigues

Citation names

  • Rodrigues, José Francisco

Author identifiers

Ciência ID
F112-A985-1CAE
ORCID iD
0000-0001-8438-0749

Knowledge fields

  • Exact Sciences - Mathematics
Outputs

Publications

Book
  1. Educational Interfaces between Mathematics and Industry. 2013.
    10.1007/978-3-319-02270-3_16
  2. Raising Public Awareness of Mathematics. Springer-Verlag. 2012.
    10.1007/978-3-642-25710-0_23
  3. The Mathematics of Darwin’s Legacy. 2011.
    10.1007/978-3-0348-0122-5_1
  4. Free Boundary Problems. Springer-Verlag. 2007.
    10.1007/978-3-7643-7719-9
  5. Trends in Partial Differential Equations of Mathematical Physics. Springer-Verlag. 2005.
    10.1007/b137135
  6. Mathematics and Music. Springer-Verlag. 2002.
    10.1007/978-3-662-04927-3
  7. Mathematical Models for Phase Change Problems. Springer-Verlag. 1989.
    10.1007/978-3-0348-9148-6_8
Journal article
  1. "Increasing powers in a degenerate parabolic logistic equation". (2013):
    10.1007/s11401-013-0762-3
  2. Rodrigues, J.F.; Santos, L.. "Quasivariational Solutions for First Order Quasilinear Equations with Gradient Constraint". Archive for Rational Mechanics and Analysis 205 2 (2012): 493-514. http://www.scopus.com/inward/record.url?eid=2-s2.0-84864423932&partnerID=MN8TOARS.
    10.1007/s00205-012-0511-x
  3. Challal, S.; Lyaghfouri, A.; Rodrigues, J.F.. "On the A-obstacle problem and the Hausdorff measure of its free boundary". Annali di Matematica Pura ed Applicata 191 1 (2012): 113-165. http://www.scopus.com/inward/record.url?eid=2-s2.0-84855223846&partnerID=MN8TOARS.
    10.1007/s10231-010-0177-7
  4. "On a p-curl system arising in electromagnetism". (2011):
    10.3934/dcdss.2012.5.605
  5. "On the two obstacles problem in Orlicz–Sobolev spaces and applications". (2011):
    10.1080/17476933.2010.505016
  6. "A CLASS OF STATIONARY NONLINEAR MAXWELL SYSTEMS". (2009):
    10.1142/s0218202509003966
  7. Rodrigues, J.F.; Santos, L.; Urbano, J.M.. "The nonlinear N-membranes evolution problem". Journal of Mathematical Sciences 159 4 (2009): 559-572. http://www.scopus.com/inward/record.url?eid=2-s2.0-67349168807&partnerID=MN8TOARS.
    10.1007/s10958-009-9461-8
  8. "On a constrained reaction-diffusion system related to multiphase problems". (2009):
    10.3934/dcds.2009.25.299
  9. "The obstacle problem for nonlinear elliptic equations with variable growth and L 1-data". (2008):
    10.1007/s00605-008-0550-4
  10. Antontsev, S.N.; Rodrigues, J.F.. "On stationary thermo-rheological viscous flows". Annali dell'Universita di Ferrara 52 1 (2006): 19-36. http://www.scopus.com/inward/record.url?eid=2-s2.0-34147129613&partnerID=MN8TOARS.
    10.1007/s11565-006-0002-9
  11. Kim, N.; Consiglieri, L.; Rodrigues, J.F.. "On non-Newtonian incompressible fluids with phase transitions". Mathematical Methods in the Applied Sciences 29 13 (2006): 1523-1541. http://www.scopus.com/inward/record.url?eid=2-s2.0-33747129329&partnerID=MN8TOARS.
    10.1002/mma.739
  12. "Stability remarks to the obstacle problem for p-Laplacian type equations". (2005):
    10.1007/s00526-004-0288-3
  13. Azevedo, A.; Rodrigues, J.-F.; Santos, L.. "The N-membranes problem for quasilinear degenerate systems". Interfaces and Free Boundaries 7 3 (2005): 319-337. http://www.scopus.com/inward/record.url?eid=2-s2.0-25444444834&partnerID=MN8TOARS.
  14. Consiglieri, L.; Rodrigues, J.F.; Shilkin, T.. "On the navier-stokes equations with energy-dependent nonlocal viscosities". Journal of Mathematical Sciences 130 4 (2005): 4814-4826. http://www.scopus.com/inward/record.url?eid=2-s2.0-24944581695&partnerID=MN8TOARS.
    10.1007/s10958-005-0378-6
  15. Consiglieri, L.; Rodrigues, J.F.. "On stationary flows with energy dependent nonlocal viscosities". Journal of Mathematical Sciences 127 2 (2005): 1875-1885. http://www.scopus.com/inward/record.url?eid=2-s2.0-18144379181&partnerID=MN8TOARS.
    10.1007/s10958-005-0148-5
  16. Dias, J.-P.; Figueira, M.; Rodrigues, J.-F.. "Solutions to a scalar discontinuous conservation law in a limit case of phase transitions". Journal of Mathematical Fluid Mechanics 7 2 (2005): 153-163. http://www.scopus.com/inward/record.url?eid=2-s2.0-18244398795&partnerID=MN8TOARS.
    10.1007/s00021-004-0113-y
  17. Rodrigues, J.F.. "On hyperbolic variational inequalities of first order and some applications". Monatshefte fur Mathematik 142 1-2 (2004): 157-177. http://www.scopus.com/inward/record.url?eid=2-s2.0-3042571135&partnerID=MN8TOARS.
  18. Rodrigues, J.-F.; Da Silva, J.L.. "On a unilateral reaction-diffusion system and a nonlocal evolution obstacle problem". Communications on Pure and Applied Analysis 3 1 (2004): 85-95. http://www.scopus.com/inward/record.url?eid=2-s2.0-24944481225&partnerID=MN8TOARS.
  19. Ivanov, A.V.; Rodrigues, J.F.. "Existence and uniqueness of a weak solution to the initial mixed boundary-value problem for quasilinear elliptic-parabolic equations". Journal of Mathematical Sciences 109 5 (2002): 1851-1866. http://www.scopus.com/inward/record.url?eid=2-s2.0-52649165282&partnerID=MN8TOARS.
  20. Rodrigues, J.F.. "On the hyperbolic obstacle problem of first order". Chinese Annals of Mathematics. Series B 23 2 (2002): 253-266. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035994818&partnerID=MN8TOARS.
    10.1142/S0252959902000249
  21. Payne, L.E.; Rodrigues, J.F.; Straughan, B.. "Effect of anisotropic permeability on Darcy's law". Mathematical Methods in the Applied Sciences 24 6 (2001): 427-438. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035309043&partnerID=MN8TOARS.
    10.1002/mma.228
  22. Kunze, M.; Rodrigues, J.F.. "Elliptic quasi-variational inequality with gradient constraints and some of its applications". Mathematical Methods in the Applied Sciences 23 10 (2000): 897-908. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034223702&partnerID=MN8TOARS.
    10.1002/1099-1476(20000710)23:10<897::AID-MMA141>3.0.CO;2-H
  23. Louro, B.; Rodrigues, J.-F.. "On the analysis of an endothermal/exothermal saturation problem". Journal of Mathematical Sciences 93 5 (1999): 711-718. http://www.scopus.com/inward/record.url?eid=2-s2.0-53149090930&partnerID=MN8TOARS.
  24. Rodrigues, J.F.; Urbano, J.M.. "Degenerate elliptic problems in a class of free domains". Journal des Mathematiques Pures et Appliquees 78 8 (1999): 819-840. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033211583&partnerID=MN8TOARS.
  25. Rodrigues, J.F.; Urbano, J.M.. "On a Darcy-Stefan problem arising in freezing and thawing of saturated porous media". Continuum Mechanics and Thermodynamics 11 3 (1999): 181-191. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033436029&partnerID=MN8TOARS.
  26. Rodrigues, J.F.; Urbano, J.M.. "On the stationary boussinesq-stefan problem with constitutive power-laws". International Journal of Non-Linear Mechanics 33 4 (1998): 555-566. http://www.scopus.com/inward/record.url?eid=2-s2.0-0039080625&partnerID=MN8TOARS.
  27. "Regular solutions of a Stefan problem in strips". (1997):
    10.1007/bf01782611
  28. Li, Ta-Tsien; Rodrigues, J.F.; Zhu, Chen. "Limit behaviour of solutions to a class of non-linear and non-local boundary value problems". Asymptotic Analysis 9 4 (1994): 297-310. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028549839&partnerID=MN8TOARS.
  29. Howison, S.D.; Rodrigues, J.F.; Shillor, M.. "Stationary Solutions to the Thermistor Problem". Journal of Mathematical Analysis and Applications 174 2 (1993): 573-588. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001123092&partnerID=MN8TOARS.
    10.1006/jmaa.1993.1142
  30. "Remarks on the Reynolds problem of elastohydrodynamic lubrication". (1993):
    10.1017/s0956792500000991
  31. "A NONLINEAR PARABOLIC SYSTEM ARISING IN THERMOMECHANICS AND IN THERMOMAGNETISM". (1992):
    10.1142/s021820259200017x
  32. "On classical solutions of the two-phase steady-state Stefan problem in strips". (1992):
    10.1016/0362-546x(92)90139-6
  33. "On a two-phase continuous casting Stefan problem with nonlinear flux". (1990):
    10.1017/s0956792500000218
  34. "A perturbation problem related to the highly compressible behaviour of a fluid in a thin porous layer". (1989):
    10.1080/00036818908839872
  35. "Asymptotic Convergences in a One-Phase Continuous-Casting Stefan Problem with High Extraction Velocity". (1989):
    10.1093/imamat/42.3.251
  36. "Comparison and stability of solutions to a class of quasilinear parabolic problems". (1988):
    10.1017/s0308210500022265
  37. Rodrigues, J.-F.. "The variational inequality approach to the - One-phase Stefan problem". Acta Applicandae Mathematicae 8 1 (1987): 1-35. http://www.scopus.com/inward/record.url?eid=2-s2.0-0005309052&partnerID=MN8TOARS.
    10.1007/BF00046685
  38. Rodrigues, J.-F.. "A steady-state Boussinesq-Stefan problem with continuous extraction". Annali di Matematica Pura ed Applicata 144 1 (1986): 203-218. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000440003&partnerID=MN8TOARS.
    10.1007/BF01760819
  39. Rodrigues, Jose-Francisco. "EVOLUTIONARY CONTINUOUS CASTING PROBLEM OF STEFAN TYPE.". Quarterly of Applied Mathematics 44 1 (1986): 109-131. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022692364&partnerID=MN8TOARS.
  40. "Remarks on the quasi-steady one phase Stefan problem". (1986):
    10.1017/s0308210500026354
  41. Rodrigues, J.-f.. "Some remarks on the homogenization of the dam problem". Manuscripta Mathematica 46 1-3 (1984): 65-82. http://www.scopus.com/inward/record.url?eid=2-s2.0-15944379300&partnerID=MN8TOARS.
    10.1007/BF01185195
  42. Chipot, Michel; Rodrigues, Jose Francisco. "ON THE STEADY-STATE CONTINUOUS CASTING STEFAN PROBLEM WITH NONLINEAR COOLING.". Quarterly of Applied Mathematics 40 4 (1983): 476-491. http://www.scopus.com/inward/record.url?eid=2-s2.0-0020497019&partnerID=MN8TOARS.
  43. Rodrigues, Jose-Francisco. "Free Boundary Convergence in the Homogenization of the One Phase Stefan Problem". Transactions of the American Mathematical Society 274 1 (1982): 297-297. http://dx.doi.org/10.2307/1999510.
    10.2307/1999510
  44. "Sur le comportement asymptotique de la solution et de la frontière libre d'une inéquation variationnelle parabolique". (1982):
    10.5802/afst.582
  45. "Convergence of the coincidence set in the homogenization of the obstacle problem". (1981):
    10.5802/afst.570

Other

Other output
  1. Increasing Powers in a Degenerate Parabolic Logistic Equation. Partial Differential Equations: Theory, Control and Approximation. 2014.
    10.1007/978-3-642-41401-5_15
  2. A Short Description of Kinetic Models for Chemotaxis. Trends in Mathematics. 2007.
    10.1007/978-3-7643-7451-8_7
  3. On Hyperbolic Variational Inequalities of First Order and Some Applications. Nonlinear Differential Equation Models. 2004.
    10.1007/978-3-7091-0609-9_12
  4. On a Three-Dimensional Convective Stefan Problem for a Non-Newtonian Fluid. Applied Nonlinear Analysis. 2002.
    10.1007/0-306-47096-9_31
  5. Steady State Solutions to a Multi-Dimensional Phase Change Problem in Ground Freezing. Solid Mechanics and Its Applications. 1999.
    10.1007/978-94-011-4738-5_1
  6. Some free boundary problems in theorical glaciology. The Mathematics of Models for Climatology and Environment. 1997.
    10.1007/978-3-642-60603-8_10
  7. Thermoconvection with Dissipation of Quasi-Newtonian Fluids in Tubes. Navier—Stokes Equations and Related Nonlinear Problems. 1995.
    10.1007/978-1-4899-1415-6_23
  8. On a Steady-State Two-Phase Stefan Problem with Extraction. Free Boundary Value Problems. 1990.
    10.1007/978-3-0348-7301-7_14