Publications

• Symmetrization in nonlocal diffusion problems, preprint
• Convergence of solutions of a rescaled evolution nonlocal cross-diffusion problem to its local diffusion counterpart, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. (2022) 116:93 (with J. Velasco)
• Error analysis of some nonlocal diffusion discretization schemes, Comput Math Appl 103 (2021) 40-52
• Turing instability analysis of a singular cross-diffusion problem, Electron J Differential Equations 2021(5) (2021) 1-17  (with V. González-Tabernero)
• Non-convex non-local reactive flows for saliency detection and segmentation, J Comput Appl Math 377 (2020) 11287 (with I. Ramírez and E. Schiavi)
• An economic cross-diffusion mutualistic model for cities emergence, Comput Math Appl 79(3) (2020) 643-655 (with G. F. de-Córdoba) 
• Well-posedness of a cross-diffusion population model with nonlocal diffusion, SIAM J Math Anal 51(4) (2019) 2884-2902 (with J. Velasco)
• Well-posedness of an evolution problem with nonlocal diffusion, Nonlinear Anal Real World App 45 (2019) 170-185
• On a cross-diffusion system arising in image denoising,  Comput Math Appl 76(5) (2018) 984-996 (with J. Velasco)
• Well-posedness of a nonlinear integro-differential problem and its rearranged formulation, Nonlinear Anal Real World App 32 (2016) 74-90 (with E. Schiavi and J. Velasco)
• Analysis of a splitting-differentiation population model leading to cross-diffusion, Comput Math Appl, 70(12) (2015) 2933-2945 (with V. Selgas)
• On a fast bilateral filtering formulation using functional rearrangements, J Math Imaging Vis 53(3) (2015) 346-363 (with J. Velasco)
• Rearranged nonlocal filters for signal denoising, Math Comput Simul 118 (2015) 213-223 (with J. Velasco)
• Deterministic particle method approximation of a contact inhibition cross-diffusion problem, Appl Numer Math 95 (2015) 229-237 (with V. Selgas)
• Existence and multiplicity of segregated solutions to a cell-growth contact inhibition problem, Discrete Contin Dyn Syst A 35(4) (2015) 1479 – 1501 (with S. Shmarev and J. Velasco)
• On a singular perturbation problem arising in the theory of Evolutionary Distributions, Comput Math Appl 69(3) (2015) 145-166 (with Y. Cohen)
• Neighborhood filters and the decreasing rearrangement, J Math Imaging Vis 51(2) (2015) 279-295 (with J. Velasco)
• On a nonlocal spectrogram for denoising one-dimensional signals, Appl Math Comput 244 (2014) 859-869 (with J. Velasco)
• On a cross-diffusion segregation problem arising from a model of interacting particles, Nonlinear Anal Real World App 18 (2014) 34-49 (with V. Selgas)
• Finite element approximation of a surface-subsurface coupled problem arising in forest dynamics, Math Comput Simul 102 (2014) 62-75 (with J. Velasco)
• Evolutionary distributions and competition by way of reaction-diffusion and by way of convolution, B Math Biol 75(12) (2013) 2305-2323 (with Y. Cohen)
• Finite Element approximation of a population spatial adaptation model, Math Biosci Eng 10(3) (2013) 637-647 (with J. Velasco)
• On a cross-diffusion population model deduced from mutation and splitting of a single specie, Comput Math Appl 64(6) (2012) 1927-1935
• Competing through altering the environment: A cross-diffusion population model coupled to transport-Darcy equations, Nonlinear Anal Real World App 12 (2011) 2826 – 2838 (with J. Velasco)
• Modeling spatial adaptation of populations by a time non-local convection cross-diffusion evolution problem, Appl Math Comput 218(8) (2011) 4587-4594
• Existence of solutions and stability analysis for a Darcy flow with extraction, Nonlinear Anal Real World App 10(4) (2009) 2007-2020 (with C.J. van Duijn, J. Velasco)
• On a chirplet transform based method applied to separating and counting wolf howls, Signal Proc 88(7) (2008) 1817-1826 (with B. Dugnol, C. Fernández, J. Velasco)
• Wolf population counting by spectrogram image processing, Appl Math Comput 186 (2007) 820-830 (with B. Dugnol, C. Fernández)
• Implementation of a diffusive differential reassignment method for signal enhancement. An application to wolf population counting, Appl Math Comput 193(2) (2007) 374-384 (with B. Dugnol, C. Fernández, J. Velasco)
• A dynamic boundary value problem arising in the ecology of mangroves, Nonlinear Anal Real World App 7(5) (2006) 1129-1144 (with J. Velasco)
• Global existence of solutions for a strongly coupled population system, Banach Cent 63 (2004) 209-216 (with A. Jüngel)
• Semi discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model, Numer Math 93(4) (2003) 655-673 (with M.L. Garzón, A. Jüngel)
• A vanishing viscosity fluidized bed model, Diff Integral Eq 16(4) (2003) 473-498 (with S. de Vicente, J. Velasco)
• A parabolic cross-diffusion system for granular materials, SIAM J Math Anal 35(3) (2003) 561-578 (with A. Jüngel, J. Velasco)
• A diffusion-convection problem with drainage arising in the ecology of mangroves, Interface Free Bound 3 (2001) 15-44 (with C.J. van Duijn, M.A. Peletier)
• On a quasilinear degenerated system arising in semiconductor theory. Part I: existence and uniqueness of solutions, Nonlinear Anal Real World App 2 (2001) 305-336 (with J.I. Díaz, A. Jüngel)
• Analysis and numerical solution of a nonlinear cross-diffusion system arising in population dynamics, RACSAM Rev R Acad A Mat 95(2) (2001) 281-295 (with M.L. Garzón, A. Jüngel)
• Spatial and time localization of solutions of the Boussinesq system with nonlinear thermal diffusion, Nonlinear Anal Theory Methods Appl 42 (2000) 423-438
• On a quasilinear degenerated system arising in semiconductor theory. Part II: localization of vacuum solutions, Nonlinear Anal Theory Methods Appl 36(5) (1999) 569-594 (with J.I. Díaz, A. Jüngel)
• On the uniqueness of a nonlinear elliptic problem arising in the confinement of a plasma in a Stellarator device, Appl Math Opt 39 (1999) 61-73 (with J.I. Díaz, J.F. Padial)
• Computing the atomic rearrangement pathways for pure electron nuclides capture by a five-shell model, Compur Phys Commun 117(3) (1999) 273-277
• EMI2, the counting efficiency for electron capture by a KL1L2L3M model, Comput Phys Commun 123(1) (1999) 114-122 (with A. Grau Carles, A. Grau Malonda, P. Grau Carles)
• Spatial localization for a general reaction-diffusion system, Annales de la Faculté de Sciences de Toulouse 7(3) (1998) 419-441 (with M.A. Peletier)
• Existence and uniqueness of solutions of the Boussinesq system with nonlinear thermal diffusion, Topol Methods in Nonlinear Anal 11(1) (1998) 59-82 (with J.I. Díaz)
• Space localization and uniqueness of solutions of a quasilinear parabolic system arising in semiconductor theory, Comptes Rendues Acad Sci Serie I 325 (1997) 267-272 (with J.I. Díaz, A. Jüngel)
• On the Boussinesq system with nonlinear thermal diffusion, Nonlinear Anal Theory Methods Appl 30 (1997) 3255-3263 (with J.I. Díaz)
• On the uniqueness of solutions of a nonlinear elliptic problem arising in the confinement of a plasma in a Stellarator device, ZAMM 76(2) (1996) 513-514 (with J.I. Díaz, J.F. Padial)
• CAPMULT, the counting efficiency for electron capture by a KLMN four-shell model, Compur Phys Commun 87 (1995) 432-437 (with A. Grau Carles and A. Grau Malonda)

Chapters of books and Proceedings

• Weakly nonlinear analysis of a sistem with nonlocal diffusion, Proceedings of the CEDYA 2021, ISBN: 978-84-18482-21-2, pp. 192-196 (with J. Velasco)
• Turing instability analysis of a singular cross-diffusion problem, Proceedings of the CEDYA 2021, ISBN: 978-84-18482-21-2, pp. 184-191 (with V. González-Tabernero)
• On a splitting-differentiation process leading to cross-diffusion, Progress in Industrial Mathematics at ECMI 2016, Mathematics in Industry 26 Springer 2017 DOI 10.1007/978-3-319-63082-3_62 (with V. Selgas)
• Spectral shape analysis of the hippocampal structure for Alzheimer’s desease diagnosis, Trends in Differential Equations and Applications, Vol. 8, series SEMA-SIMAI Springer, pp. 17-32, 2016 (with G. Maicas, A. I. Muñoz, A. Ben Hanza, and E. Schiavi)
• Some nonlocal filters formulation using functional rearrangements, Scale Space and Variational Methods in Computer Vision, Lecture Notes in Computer Science 9087, pp. 166-177, 2015 (with J. Velasco)
• Mathematical Models in Mangroves Induced Soil Salinization, Mangroves: Ecology, Biology and Taxonomy. Series on Botanical Research and Practices. pp. 309-370, NovaPublishers, 2011. ISBN 978-1-61728-991-0
• An experience on contextualizing lab session materials for numerical methods in engineering, ICERI 2011, Proceedings of the 4th International Conference of Education, Research and Innovation (ICERI), pp. 7025-7030, 2011 (with Yolanda Díaz)
• Mathematical description of the hydrodynamic regimes of an asymptotic model for two-phase flow arising in PFBC boilers. Proceedings of the 20th International Conference on Fluidized Bed Combustion, pp. 870-888, Springer, 2010. ISBN 978-3-642-02682-2 (with S. de Vicente, J. Velasco, J.M. Arostegui)
• Spatial segregation of competing populations in a mangrove ecosystem. Proceedings of the 3rd World Congress of Malacology. 2010
• The Bloodhound: a chirp-tracking algorithm for chirp separation. Proceedings of the 2009 International Conference on Computational and Mathematical Methods in Science and Engineering 2, pp. 427-436. 2009. ISBN 978-84-612-9727-6 (with B. Dugnol, C. Fernández, J. Velasco)
• Audio signal parameter estimation via a PDE model. Proceedings of the 3rd MAMERN, pp. 371-375, Editorial Universidad de Granada, 2009. ISBN 978-84-338-5006-5 (with B. Dugnol, C. Fernández, J. Velasco)
• An evolution nonlinear convection-diffusion problem arisng in Audio-Signal Theory. Proceedings of the 3rd MAMERN, pp. 377-381, Editorial Universidad de Granada, 2009. ISBN 978-84-338-5006-5 (with B. Dugnol, C. Fernández, J. Velasco)
• Chirplet transform as a tool for the analysis of wolf chorus howls recordings. Proceedings of the 2nd Conference on Acoustic Communication by Animals, Oregon State University, 2009. (with V. Palacios, L. Llaneza, B. Dugnol, C. Fernández, J. Velasco)
• Multi-chirp signal separation, Biosignals 2009, Proceedings o the International Conference on Bio-Inspired Systems and Signal Processing, Vol 1, pp. 216-221, 2009 (with B. Dugnol, C. Fernández, J. Velasco)
• On PDE-based spectrogram image restoration. Application to wolf chorus noise reduction and comparison with other algorithms. Signal processing for image enhancement and multimedia processing 31, pp. 1-8, Springer (Series on Multimedia Systems and Applications), 2008. ISBN 978-0-387-72499-7 (with B. Dugnol, C. Fernández, J. Velasco)
• Audio signal analysis: An application to wolf population counting. Third International IEEE Conference on Signal-image Technologies and Internet-Based System, 2007 (SITIS 2007). pp. 485-492, IEEE Conference Publishing Services, 2008. ISBN 978-0-7695-3122-9 (with B. Dugnol, C. Fernández, J. Velasco)
• On a chirplet transform based method for co-channel voice separation. Biomedical Engineering Systems and Technologies (Series in Communications in Computer and Information Science) 25, pp. 163-175, Springer-Verlag, 2008. ISBN 978-3-540-92218-6 (with B. Dugnol, C. Fernández, J. Velasco)
• Noise reduction and voice separation algorithms applied to wolf population counting, Biosignals 2008, Proceedings o the International Conference on Bio-Inspired Systems and Signal Processing, Vol 1, pp. 77-84, 2008 (with B. Dugnol, C. Fernández, J. Velasco)
• Evolution nonlinear diffusion-convection PDE models for spectrogram enhancement. Numerical Analysis and Applied Mathematics 1048, pp. 166-169, AIP Conference Proceedings, 2008. ISBN 978-0-7354-0576-9 (with B. Dugnol, C. Fernández, J. Velasco)
• A dynamic boundary value problem arising in the ecology of mangroves. International Series of Numerical Mathematics. Free Boundary Problems: Theory and Applications 154, pp. 179-188, Birkhäuser Verlag, 2007. ISBN 3-7643-7718-6 (with J. Velasco)
• Applications of an energy method to some systems of PDE’s involving free boundaries. Progress in Mathematics 202, pp. 273-280. Birkhäuser, 2001
• Existence of solutions of a segregation model arising in population dynamics. Proceeding of the Fourth European Conference on Elliptic and Parabolic Problems pp. 113-125. World Scientific, 2002. ISBN 981-238-045-0 (with M.L. Garzón, A. Jüngel)
• A soil salinization model. Proceedings of the International Workshop on Numerical Modelling of Hydrodynamic Systems, pp. 432-433, Publicaciones de la Universidad de Zaragoza, 1999