Published Papers

  1. A. Martinez. Resolución de flujos mediante resultados de descomposición de campos de vectores. Tesina de Licenciatura. Univ. de Santiago de Compostela, 1987.
  2. A. Bermudez, A. Martinez. Optimal control of industrial sterilization of canned foods . En “Control of distributed parameter systems” (M. Amoroux, A. El Jai, eds.), pp. 405 – 409, Pergamon Press, 1990.
  3. A. Martinez. Dos problemas de control optimo con restricciones sobre el estado. Tesis de Doctorado. Univ. de Santiago de Compostela, 1991. (ISBN 84-604-0522-2)
  4. A. Bermudez, A. Martinez, C. Rodriguez. Un probleme de controle ponctuel lie a l’emplacement optimal d’emissaires d’evacuation sous-marine. C. R. Acad. Sci. Paris, t. 313, Serie I, pp. 515 – 518, 1991.
  5. A. Bermudez, A. Martinez. A state constrained optimal control problem related to the sterilization of canned foods. Automatica, 30, pp. 319 – 329, 1994.
  6. A. Martinez, C. Rodriguez, M. E. Vazquez Mendez. A control problem related to wastewater treatment . C. R. Acad. Sci. Paris, t. 328, Serie I, pp. 35 – 40, 1999.
  7. L. J. Alvarez Vazquez, A. Martinez. Modelling and control of natural convection in canned foods. IMA J. Appl. Math., 63, pp. 247 – 265, 1999.
  8. A. Martinez, C. Rodriguez, M. E. Vazquez Mendez. A control problem arising in the process of waste water purification. J. Comp. Appl. Math., 114, pp. 67 – 79, 2000.
  9. F. Aguado Agelet, A. Martinez, J. M. Hernando, F. Isasi, D. Mosteiro. Bundle methods for optimal transmitter location in indoor wireless system. Electronics Letters, 36, pp. 573 – 574, 2000.
  10. A. Martinez, C. Rodriguez, M. E. Vazquez Mendez. Theoretical and numerical analysis of an optimal control problem related to wastewater treatment. SIAM J. Control and Optimization, 38, pp. 1534 – 1553, 2000.
  11. A. Martinez, F. Aguado Agelet, L. J. Alvarez Vazquez, J. M. Hernando, D. Mosteiro. Optimal tranmsmitter location in an indoor wireless system by Nelder-Mead method. Microwave Opt. Technol. Lett., 27, pp. 146 – 148, 2000.
  12. L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez. Numerical convergence for a sewage disposal problem . Appl. Math. Model., 25, pp. 1015 – 1024, 2001.
  13. L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez. Mathematical analysis of the optimal location of wastewater outfalls. IMA J. Appl. Math., 67, pp. 23 – 39, 2002.
  14. L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez. A wastewater treatment problem: study of the numerical convergence. J. Comp. Appl. Math., 140, pp. 27 – 39, 2002.
  15. L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez. Numerical optimization for the location of wastewater outfalls. Comput. Optim. Appl., 22, pp. 399 – 417, 2002.
  16. F. Aguado Agelet, A. Martinez, L.J. Alvarez Vazquez, J.M. Hernando, A. Formella. Optimization methods for optimal transmitter locations in a mobile wirelesssystem. IEEE Trans. Veh. Technol., 51, pp. 1316 – 1321, 2002.
  17. L.J. Alvarez Vazquez, A. Bermudez, A. Martinez, C. Rodriguez, M.E. Vazquez Mendez. Application of the optimal control theory to the wastewater elimination problem. Rev. R. Acad. Ciencias, Serie A: Mat. (RACSAM), 96, pp. 283 – 298, 2002.
  18. L.J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M.E. Vazquez Mendez. Modelling and optimization for the location of wastewater outfalls in a sewage disposal system. Thalassas, 19 (2a), pp. 137 – 138, 2003.
  19. A. Bermudez, C. Rodriguez, M.E. Vazquez Mendez, A. Martinez. Mathematical modelling and optimal control methods in waste water discharges. En: “Ocean circulation and pollution control – A mathematical and numerical investigation” (J.I. Diaz, ed.), pp. 3 – 15, Springer-Verlag, 2004. (ISBN 3-540-40647-6)
  20. L. J. Alvarez Vazquez, M. Marta, A. Martinez. Sterilization of canned viscous foods: An optimal control approach. Math. Models Meth. Appl. Sci., 14, pp. 355 – 374, 2004.
  21. L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez. Mathematical model for optimal control in wastewater discharges: The global performance. C.R. Biologies, 328, pp. 327 – 336, 2005.
  22. L. J. Alvarez Vazquez, A. Martinez, R. Muñoz Sola, C. Rodriguez, M. E. Vazquez Mendez. The water conveyance problem: Optimal purification of polluted waters. Math. Models Meth. Appl. Sci., 15, pp. 1393 – 1416, 2005.
  23. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. Optimal location of sampling points for river pollution control. Math. Comput. Simul., 71, pp. 149 – 160, 2006.
  24. L. J. Alvarez Vazquez, A. Martinez, R. Muñoz Sola, C. Rodriguez, M. E. Vazquez Mendez. Numerical optimization for the purification of polluted shallow waters. J. Comp. Appl. Math., 189, pp. 191 – 206, 2006.
  25. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. Mathematical modelling and numerical optimization in the process of river pollution control. En “Numerical Mathematics and Advanced Applications” (A. Bermudez, D. Gomez, P. Quintela, P. Salgado, eds.), pp. 1040 – 1048, Springer, 2006. (ISBN 3-540-34287-7)
  26. L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez, M. A. Vilar. Optimal shape design for fishways in rivers. Math. Comput. Simul., 76, pp. 218 – 222, 2007.
  27. A. Formella, F. Aguado Agelet, L. J. Alvarez Vazquez, A. Martinez, H. Neufeldt. Optimisation of the antenna placement for an airport surveillance system. Int. J. Mobile Network Design and Innovation, 2, pp. 209 -215, 2007.
  28. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. Optimal operation for a river fishway. PAMM: Proc. Appl. Math. Mech., 7, pp. 2060033 – 2060034, 2007.
  29. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. Optimal reclamation of polluted rivers. PAMM: Proc. Appl. Math. Mech., 7, pp. 2060055 – 2060056, 2007.
  30. L. J. Alvarez Vazquez, E. Balsa Canto, A. Martinez. Optimal management and design of a wastewater purification system. En “Progress in Industrial Mathematics at ECMI 2006” (L. L. Bonilla, M. Moscoso, G. Platero, J. M. Vega, eds.), pp. 795 – 800, Springer, 2008. (ISBN 978-3-540-71991-5)
  31. A. Martinez, L. J. Alvarez Vazquez, F. Aguado Agelet, E. Balsa Canto. Optimization methods for a wifi location system. En “Progress in Industrial Mathematics at ECMI 2006” (L. L. Bonilla, M. Moscoso, G. Platero, J. M. Vega, eds.), pp. 838 – 842, Springer, 2008. (ISBN 978-3-540-71991-5)
  32. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. An optimal shape problem related to the realistic design of river fishways. Ecol. Eng., 32, pp. 293 – 300, 2008.
  33. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. Vertical slot fishways: Mathematical modeling and optimal management. J. Comp. Appl. Math., 218, pp. 395 – 403, 2008.
  34. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. Fishway design: An application of the optimal control theory. En “Numerical Mathematics and Advanced Applications” (K. Kunish, G. Of, O. Steinbach, eds.), pp. 581 – 588, Springer, 2008. (ISBN 978-3-540-69776-3)
  35. L. J. Alvarez Vazquez, E. Balsa Canto, A. Martinez. Optimal design and operation of a wastewater purification system. Math. Comput. Simul., 79, pp. 668 – 682, 2008.
  36. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. An application of optimal control theory to river pollution remediation. Appl. Numer. Math., 59, pp. 845 – 858, 2009.
  37. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. A realistic example of environmental control: Optimization of river fishways. Bol. Soc. Esp. Mat. Apl., 47, pp. 7 – 22, 2009.
  38. L. J. Alvarez Vazquez, F. J. Fernandez, I. Lopez, A. Martinez. An Arbitrary Lagrangian Eulerian formulation for a 3D eutrophication model in a moving domain. J. Math. Anal. Appl., 366, pp. 319 – 334, 2010.
  39. L. J. Alvarez Vazquez, F. J. Fernandez, A. Martinez. Optimal management of a bioreactor for eutrophicated water treatment: A numerical approach. J. Sci. Comput., 43, pp. 67 – 91, 2010.
  40. L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez, M. E. Vazquez Mendez. Multi-objective Pareto-optimal control: An application to wastewater management. Comput. Optim. Appl., 46, pp. 135 – 157, 2010.
  41. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. Flow regulation for water quality restoration in a river section: Modeling and control. J. Comput. Appl. Math., 234, pp. 1267 – 1276, 2010.
  42. L. J. Alvarez Vazquez, N. Garcia-Chan, A. Martinez, M. E. Vazquez Mendez. Pareto-optimal solutions for a wastewater treatment problem. J. Comput. Appl. Math., 234, pp. 2193 – 2201, 2010.
  43. L. J. Alvarez Vazquez, N. Garcia-Chan, A. Martinez, M. E. Vazquez Mendez. Management of several purifying plants in the same area: A multi-objective optimal control problem. En “Progress in Industrial Mathematics at ECMI 2008” (A.D. Fitt, J. Norbury, H. Ockendon, E. Wilson, eds.), pp. 691 – 696, Springer, 2010. (ISBN: 978-3-642-12109-8)
  44. L. J. Alvarez Vazquez, F. J. Fernandez, A. Martinez. Numerical optimization of a bioreactor for the treatment of eutrophicated water. En “Numerical Mathematics and Advanced Applications 2009” (G. Kreiss, P. Lotstedt, A. Malqvist, M. Neytcheva, eds.), pp. 77 – 85, Springer, 2010. (ISBN: 978-3-642-11794-7)
  45. A. Martinez, L. J. Alvarez Vazquez, M. E. Vazquez Mendez, M. A. Vilar. Optimal control for river pollution remediation. En “Numerical Mathematics and Advanced Applications 2009” (G. Kreiss, P. Lotstedt, A. Malqvist, M. Neytcheva, eds.), pp. 627 – 635, Springer, 2010. (ISBN: 978-3-642-11794-7)
  46. L. J. Alvarez Vazquez, N. Garcia-Chan, A. Martinez, M. E. Vazquez Mendez. Optimal control in wastewater management: A multi-objective study. Comm. Appl. Industrial Math., 1(2), pp. 62 – 77, 2010.
  47. L. J. Alvarez Vazquez, N. Garcia-Chan, A. Martinez, M. E. Vazquez Mendez. SOS: A numerical simulation toolbox for decision support related to wastewater discharges and their environmental impact. Environ. Model. Software, 26, pp. 543 – 545, 2011.
  48. L. J. Alvarez Vazquez, F. J. Fernandez, A. Martinez. Analysis of a time optimal control problem related to the management of a bioreactor. ESAIM: Control Optim. Calc. Var., 17, pp. 722 – 748, 2011.
  49. M. A. Vilar, L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez. Optimizing water quality in a river section. En “Integral Methods in Science and Engineering. Computational and analytical aspects” (C. Constanda, P.J. Harris, eds.), pp. 391 – 402, Birkhauser, 2011. (ISBN: 978-0-8176-8237-8)
  50. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, M. A. Vilar. The importance of design in river fishways. Procedia Environmental Sciences, 9, pp. 6 – 10, 2011.
  51. L. J. Alvarez Vazquez, A. Martinez, J. J. Judice, C. Rodriguez, M. E. Vazquez Mendez, M. A. Vilar. Fishway optimization revisited. En “Progress in Industrial Mathematics at ECMI 2010” (M. Gunther, A. Bartel, M. Brunk, S. Schoeps, M. Striebel, eds.), pp. 545 – 551, Springer, 2012. (ISBN 978-3-642-25099-6)
  52. M. E. Vazquez Mendez, L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez. Improving the environmental impact of wastewater discharges with a specific simulation-optimization software.J. Comput. Appl. Math., 246, pp. 320 – 328, 2013.
  53. L. J. Alvarez Vazquez, J. J. Judice, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez, M. A. Vilar. On the optimal design of river fishways. Optim. Eng., 14, pp. 193 – 211, 2013.
  54. N. Garcia Chan, L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez. On optimal location and management of a new industrial plant: numerical simulation and control. J. Franklin Institute, 351, pp. 1356 – 1371, 2014.
  55. L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez, A. W. Pollak, J. J. Peirce. Optimal location of river sampling stations: A case study. En “Progress in Industrial Mathematics at ECMI 2012” (M. Fontes, M. Gunther, N. Marheineke, eds.), pp. 39 – 45, Springer, 2014. (ISBN 978-3-319-05364-6)
  56. A. Martinez, L. J. Alvarez Vazquez, C. Rodriguez, M. E. Vazquez Mendez, M. A. Vilar. Optimal shape design of wastewater canals in a thermal power station. En “Progress in Industrial Mathematics at ECMI 2012” (M. Fontes, M. Gunther, N. Marheineke, eds.), pp. 59 – 64, Springer, 2014. (ISBN 978-3-319-05364-6)
  57. M. E. Vazquez Mendez, L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez. Location and management of a new industrial plant. En “Progress in Industrial Mathematics at ECMI 2012” (M. Fontes, M. Gunther, N. Marheineke, eds.), pp. 341 – 346, Springer, 2014. (ISBN 978-3-319-05364-6)
  58. L. J. Alvarez Vazquez, F. J. Fernandez, A. Martinez. Optimal control of eutrophication processes in a moving domain. J. Franklin Institute, 351, pp. 4142 – 4182, 2014.
  59. L. J. Alvarez Vazquez, A. Martinez, F. J. Fernandez. Optimal control in moving domains: An application to eutrophication. En “Engineering Optimization IV” (H. C. Rodrigues et al, eds.), pp. 609 – 614, CRC Press, 2015. (ISBN 978-1-138-02725-1)
  60. L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez, M. E. Vazquez Mendez. Stackelberg strategies for wastewater management. J. Comput. Appl. Math., 280, pp. 217 – 230, 2015.
  61. L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez, M. E. Vazquez Mendez. An application of interactive multi-criteria optimization to air pollution control. Optimization, 64, pp. 1367 – 1380, 2015.
  62. F. J. Fernandez, L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez, M. E. Vazquez Mendez. Optimal location of green zones in metropolitan areas to control the urban heat island. J. Comput. Appl. Math., 289, pp. 412 – 425, 2015.
  63. M. E. Vazquez Mendez, L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez. Optimal control of partial differential equations by means of Stackelberg strategies: an environmental application. En “Integral Methods in Science and Engineering. Theoretical and computational advances” (C. Constanda, A. Kirsch, eds.), pp. 643 – 655, Birkhauser, 2015. (ISBN: 978-3-319-16726-8)
  64. F. J. Fernandez, L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez. A 3D optimal control problem related to the urban heat islands. J. Math. Anal. Appl., 446, pp. 1571 – 1605, 2017.
  65. A. Martinez, R. Muñoz Sola, M. E. Vazquez Mendez, L. J. Alvarez Vazquez. A local regularity result for Neumann parabolic problems with nonsmooth data. Indagat. Math., 28, pp. 494 – 515, 2017.
  66. L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez, M. E. Vazquez Mendez. Numerical simulation of air pollution due to traffic flow in urban networks. J. Comput. Appl. Math., 326, pp. 44 – 61, 2017.
  67. L. J. Alvarez Vazquez, G. Casal, A. Martinez, M. E. Vazquez Mendez. A novel formulation for designing a monitoring strategy: Application to the design of a river quality monitoring system.Environ. Model. Assess., 22, pp. 279 – 289, 2017.
  68. N. Garcia Chan, L. J. Alvarez Vazquez, A. Martinez, M. E. Vazquez Mendez. Numerical simulation for evaluating the effect of traffic restrictions on urban air pollution. En “Progress in Industrial Mathematics at ECMI 2016”, (P. Quintela et al., eds.), pp. 367 – 373, Springer, 2017. (ISBN 978-3-319-63081-6)
  69. A. Martinez, F. J. Fernandez, L. J. Alvarez Vazquez. Water artificial circulation for eutrophication control. Math. Control Rel. Fields, 8, pp. 277 – 313, 2018.
  70. L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez, M. E. Vazquez Mendez. Optimal control of urban air pollution related to traffic flow in road networks. Math. Control Rel. Fields, 8, pp. 177 – 193, 2018.
  71. L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez. Sediment minimization in canals: An optimal control approach. Math. Comput. Simul., 149, pp. 109 – 122, 2018.
  72. M. E. Vazquez Mendez, L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. A. Vilar. Optimal control of sediment in irrigation canals. En “23rd International Conference on Methods and Models in Automation and Robotics”, pp. 832 – 836, IEEE, 2018. (ISBN: 978-1-5386-4324-2).
  73. A. Martinez, L. J. Alvarez Vazquez, C. Rodriguez, M. E. Vazquez Mendez, M. Vilar. Heavy metals phytoremediation: First mathematical modelling results. En “Numerical Mathematics and Advanced Applications – ENUMATH 2017” (F.A. Radu et al., eds.), pp. 819 – 827, Springer, 2019. (ISBN: 978-3-319-96414-0).
  74. L. J. Alvarez Vazquez, F. J. Fernandez, A. Martinez, M. E. Vazquez Mendez. Urban heat island effect in metropolitan areas: An optimal control perspective. En “Numerical Mathematics and Advanced Applications – ENUMATH 2017” (F.A. Radu et al., eds.), pp. 829 – 837, Springer, 2019. (ISBN: 978-3-319-96414-0).
  75. M. E. Vazquez Mendez, L. J. Alvarez Vazquez, G. Casal, N. Garcia Chan, A. Martinez. Mathematical modelling for an optimal monitoring design in quality control of traffic. En “EngOpt 2018 Proceedings” (H.C. Rodrigues et al. , eds.), pp. 342 – 351, Springer, 2019. (ISBN: 978-3-319-97772-0).
  76. L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez, M. A. Vilar. Optimal control of phytoremediation techniques for heavy metals removal in shallow water. En “EngOpt 2018 Proceedings” (H.C. Rodrigues et al. , eds.), pp. 352 – 360, Springer, 2019. (ISBN: 978-3-319-97772-0).
  77. M. E. Vazquez Mendez, L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez. Optimal management of an urban road network with an environmental perspective. Comput. Math. Appl., 77, pp. 1786 – 1797, 2019.
  78. L. J. Alvarez Vazquez, A. Martinez, C. Rodriguez, M. E. Vazquez Mendez, M. A. Vilar. Mathematical analysis and optimal control of heavy metals phytoremediation techniques. Appl. Math. Model., 73, pp. 387 – 400, 2019.
  79. A. Martinez, L. J. Alvarez Vazquez, C. Rodriguez, M. E. Vazquez Mendez, M. A. Vilar. Optimal control of heavy metals phytoremediation. En “Progress in Industrial Mathematics at ECMI 2018” (I. Farago et al., eds.), pp. 461 – 467, Springer, 2019. (ISBN: 978-3-030-27549-5).
  80. L. J. Alvarez Vazquez, N. Garcia Chan, A. Martinez, M. E. Vazquez Mendez. Environmentally optimized management of urban road networks. En “Progress in Industrial Mathematics at ECMI 2018” (I. Farago et al., eds.), pp. 453 – 459, Springer, 2019. (ISBN: 978-3-030-27549-5).
  81. F. J. Fernandez, A. Martinez, L. J. Alvarez Vazquez. A nonlinear problem related to artificial circulation in a lake. En “Nonlinear Analysis and Boundary Value Problems 2018 – NABVP 2018” (I. Area et al., eds.), pp. 157 – 175, Springer, 2019. (ISBN: 978-3-030-26986-9).
  82. F. J. Fernandez, L. J. Alvarez Vazquez, A. Martinez. On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake. Indagat. Math., 31, pp. 235 – 250, 2020.
  83. F. J. Fernández, L. J. Alvarez Vázquez, A. Martínez. Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation. J. Comput. Appl. Math., 366, 112402, 2020. (Corrigendum en: 375, 112859, 2020).
  84. N. García Chan, L. J. Alvarez Vázquez, A. Martínez, M. E. Vázquez Méndez. Designing an ecologically optimized road corridor surrounding restricted urban areas: A mathematical methodology. Math. Comput. Simul., 190, pp. 745 – 759, 2021.
  85. L. J. Alvarez Vázquez, N. García Chan, A. Martínez, C. Rodríguez, M. E. Vázquez Méndez. Optimal Location of Exit Doors for Efficient Evacuation of Crowds at Gathering Places. Axioms, 11(11), 592, 2022.
  86. N. García Chan, L. J. Alvarez Vázquez, A. Martínez, M. E. Vázquez Méndez. Bilevel optimal control of urban traffic-related air pollution by means of Stackelberg strategies. Optim. Eng., 23,  pp. 1165 – 1188, 2022.
  87. F. J. Fernández, A. Martínez, L. J. Alvarez Vázquez. Controlling eutrophication by means of water recirculation: An optimal control perspective. J. Comput. Appl. Math., 421, 114886, 2023.
  88. L. J. Alvarez Vázquez, A. Martínez, C. Rodríguez, M. E. Vázquez Méndez. Optimizing the design of an estuarine water quality monitoring network by optimal control techniques. Environ. Model. Assess., 28, pp. 665 – 672, 2023.