Teses/Thesis:
[1] Ph.D. thesis on Mathematics: Development of 1D fluid Models using the Cosserat Theory. Numerical Simulation and Applications to Haemodynamics, IST-UTL, Publicações Instituto Superior Técnico, Lisboa, 2005
[2] PAPCC thesis on Numerical Analysis: Uma Introdução ao Método dos Elementos Finitos, Universidade de Évora, Publicações Universidade de Évora, Évora, 1998
Livros com ISBN/ISSN :
[1] Carapau, F.: Matemática I, Manuais da Universidade de Évora, Publicação de Autor, Área Departamental de Ciências Exactas, Publicações Universidade de Évora, 3ª Edição, 189pp, ISBN-972-778-082-2, 2005
[2] Carapau, F.: Primitivas, Integrais e suas Aplicações, Publicação de Autor, Publicações Publidisa, 1ª Edição, 177pp, ISBN-989-20-0360-8, 2006
[3] Carapau, F.: Exercícios sobre Primitivas, Publicação de Autor, Publicações Publidisa, 1ª Edição, 111pp, ISBN:978-989-20-3131-6, 2011
[4] Carapau, F.: Exercícios sobre Primitivas e Integrais, Publicação de Autor, Editora Edições Sílabo, 1ª Edição, 211pp, ISBN:978-972-618-764-6, 2014
[5] Carapau, F., Vaidya, A.: Recent Advances in Mechanics and Fluid-Structure Interaction with Applications, Springer Nature-Birkhauser, 1ª Edição, 375pp, ISBN:978-3-031-14323-6, 2022
Edição de Actas :
[1] Sequeira, A., Carapau, F., Janela, J.: Mathematical Fluid Mechanics, a Tribute to Giovanni Paolo Galdi, Book of Abstracts, 121 pp, IST-UTL, ISBN-978-989-20-0549-2, 2007
[2] Santos, C., Dias, C., Carapau, F., Grilo, L.M.: III Workshop on Computational Data Analysis and Numerical Methods, Book of Abstracts, Escola de Superior de Tecnologia e Gestão, Instituto Politécnico de Portalegre, 30pp, ISBN-978-989-8806-12-3, 2016
[3] Oliveira, T., Oliveira, A., Grilo, L.M., Carapau, F., Dias, C., Santos, C.: Satellite Meeting ISI-Commitee on Risk Analysis and XI Workshop on Statistics, Mathematics and Computation, Book of Abstracts, Instituto Politécnico de Portalegre, 93pp, ISBN-978-989-8806-18-5, 2017
[4] Gomes, C.P., Araújo, A., Bezzeghoud, M., and Carapau, F.: I Congresso Luso-Extremadurense de Ciências e Tecnologia, Book of Abstracts, Universidade de Évora, 201pp, ISBN-978-989-8550-45-3, 2017
[5] Grilo, L.M., Carapau, F., Santos, C., and Dias, C.: IV Workshop on Computational Data Analysis and Numerical Methods, Book of Abstracts, Instituto Politécnico de Beja 83pp, ISBN-978-989-8008-28-2 (print version), ISBN-978-989-8008-29-9 (online version), 2017
[6] Aldina Correia, Eliana Costa e Silva, Fátima De Almeida, Luís M. Grilo and Fernando Carapau: V Workshop on Computational Data Analysis and Numerical Methods: Book of Abstracts, Escola Superior de Tecnologia e Gestão, Instituto Politécnico do Porto, 174pp, ISBN: 978-989-98447-6-6 (print version), 2018
[7] Alberto Simões, Célia Nunes, Ilda Inácio, Luís M. Grilo e Fernando Carapau: VI Workshop on Computational Data Analysis and Numerical Methods: Book of Abstracts, UBI, 240pp, ISBN:978-989-654-545-1(print version), 2019
[8] Gomes, C.P., Araújo, A., Bezzeghoud, M., Hortense Santos, M., and Carapau, F.: III Congresso Luso-Extremadurense de Ciências e Tecnologia, Book of Abstracts, Universidade de Évora, 343pp, ISBN 978-972-778-133-1 (impresso), ISBN 978-972-778-134-8 (electrónico), 2019
[9] Luís M. Grilo, Ana Nata, Manuela Fernandes, Isabel Pitacas, Fernando Carapau, A. Manuela Gonçalves, Teresa A. Oliveira: VII Workshop on Computational Data Analysis and Numerical Methods, Book of Abstracts, Instituto Politécnico de Tomar, 162pp, ISBN:978-989-8840-47-9, 2020
[10] Minhós, F., Carapau, F., Correia, P., Bandeira, L.: International Conference on Nonlinear Differential Equations and Applications, Book of Abstract, CIMA-UÉ, Universidade de Évora, 122pp, ISBN:978-972-778-275-8, 2022
[11] Minhós, F., Bezzeghoud, M., Abreu, S., Carapau, F., Correia, P. : International Workshop on Mathematics and Physical Sciences, Book of Abstracts, CIMA-UÉ, Universidade de Évora, 41pp, ISBN: 978-972-778-320-5, 2023
Artigos em Capítulos de Livros Científicos com ISBN/ISSN:
[1] Carapau, F., and Sequeira, A., Axisymmetric motion of a second order viscous fluid in a circular straight tube under pressure gradients varying exponentially with time, WIT Transactions on Engineering Sciences, Vol.52, section 8, pp. 409-419, Editors: M. Rahman and C.A. Brebbia, ISBN:1-84564-163-9, ISBN:1746-4471 (print), ISBN:1743-3533 (on-line), 2006
[2] Carapau, F., and Sequeira, A., 1D dynamics of a second-grade viscous fluid in a constricted tube, Banach Center Publications, Institute of Mathematics, Polish Academy of Sciences, Volume 81, pp. 95-103, Editors: Joanna Renclawowicz and Wojciech M. Zajaczkowski, ISSN: 0137-6934 (print), ISSN:1730-6299 (on-line), 2008
[3] Ramos, C., Carapau, F., Correia, P.: Cellular Automata Describing Non-equilibrium Fluids with Non-mixing Substances. In: Carapau, F., Vaidya, A. (eds) Recent Advances in Mechanics and Fluid-Structure Interaction with Applications. Advances in Mathematical Fluid Mechanics. Birkhäuser, Cham., doi.org/10.1007/978-3-031-14324-3_10, 2022
[4] Carapau, F., Correia, P., Areias, P.: Three-Dimensional Velocity Field Using the Cross-Model Viscosity Function. In: Carapau, F., Vaidya, A. (eds) Recent Advances in Mechanics and Fluid-Structure Interaction with Applications. Advances in Mathematical Fluid Mechanics. Birkhäuser, Cham., doi.org/10.1007/978-3-031-14324-3_2, 2022
[5] Areias, P., Carapau, F., Lopes, J.C., Rabczuk, T.: Consistent C Element-Free Galerkin Method for Finite Strain Analysis. In: Carapau, F., Vaidya, A. (eds) Recent Advances in Mechanics and Fluid-Structure Interaction with Applications. Advances in Mathematical Fluid Mechanics. Birkhäuser, Cham., doi.org/10.1007/978-3-031-14324-3_6, 2022
Artigos em Revistas Científicas com Arbitragem Científica:
[1] Carapau, F., and Sequeira, A., 1D Models for Blood Flow in Small Vessels Using the Cosserat Theory, WSEAS Transactions on Mathematics, Issue 1, Volume 5, pp. 54-62, 2006
[2] Carapau, F., and Sequeira, A., Unsteady flow of a generalized Oldroyd-B fluid using a director theory approach, WSEAS Transactions on Fluid Mechanics, Issue 2, Volume 1, pp. 167-174, 2006
[3] Janela, J., Sequeira, A., and Carapau, F., Numerical Simulation of the Motion of Rigid Particles in Generalized Newtonian Fluids using a Hyper-Viscosity Method, WSEAS Transactions on Mathematics, Issue 4, Volume 5, pp. 366-373, 2006
[4] Carapau, F., Sequeira, A., and Janela, J., 1D simulations of second-grade fluids with shear-dependent viscosity, WSEAS Transactions on Mathematics, Issue 1, Volume 6, pp. 151-158, 2007
[5] Carapau, F., Axisymmetric motion of a generalized Rivlin-Ericksen fluids with shear-dependent normal stress coefficients, Inter. Journal of Mathematical Models and Methods in Applied Sciences, Issue 2, Volume 2, pp. 168-175, 2008
[6] Carapau, F., Analysis of perturbed flows of a second-order fluid using a 1D hierarchical model, Inter. Journal of Mathematics and Computers in Simulation, Issue 3, Volume 2, pp. 256-263, 2008
[7] Carapau, F., Axisymmetric Swirling Motion of Viscoelastic Fluid Flow Inside a Slender Surface of Revolution, IAENG Engineering Letters, Issue 4, Volume 17, pp. 238-245, 2009
[8] Carapau, F., 1D Viscoelastic Flow in a Circular Straight Tube with Variable Radius, Int. J. Appl. Math. Stat., No. D10, Volume 19, pp. 20-39, 2010
[9] Carapau, F., One-dimensional viscoelastic fluid model where viscosity and normal stress coefficients depend on the shear rate, Nonlinear Analysis: Real World Applications, Volume 11, pp. 4342-4354, 2010
[10] Carapau, F., and Janela, J., A one-dimensional model for unsteady axisymmetric swirling motion of a viscous fluid in a variable radius straight circular tube. International Journal of Engineering Science, Volume 72, pp. 107-116, 2013
[11] Carapau, F., and Correia, P., One-dimensional Model for Fluids of Third-grade in Tubes with Constant Radius, International Journal of Applied Mathematics and Statistic, Volume 55, Issue 3, pp. 1-13, 2016
[12] Carapau, F., and Correia, P., Numerical simulations of a third-grade fluid flow on a tube through a contraction, European Journal of Mechanics B/Fluids, V. 65, pp. 45-53, 2017
[13] Fernando Carapau, Paulo Correia, Luís M. Grilo and Ricardo Conceicão, Axisymmetric Motion of a Proposed Generalized Non-Newtonian Fluid Model with Shear-dependent Viscoelastic Effects, IAENG International Journal of Applied Mathematics, vol. 47, no. 4, pp. 361-370, 2017
[14] Carapau, F., Janela, J., Correia, P., Vila, S., Numerical Solvability of a Cosserat Model for the Swirling Motion of a Third-grade Fluid in a Constant Radius Straight Circular Tube, Int. J. Appl. Math. Stat., vol. 57, no. 2, pp. 1-15, 2018
[15] Carapau, F., Conceição, R., Three-Dimensional Velocity Field for Blood Flow Using the Power-Law Viscosity Function, WSEAS Transactions on Heat and Mass Transfer, V.13, pp. 35-48, 2018
[16] P. Areias, T. Rabczuk, F. Carapau and J. Carrilho Lopes, A continuous-stress tetrahedron for finite strain problems, Finite Elements in Analysis and Design, vol. 165, pp. 52-64, 2019
[17] P. Areias, C. Tiago, J. Carrilho Lopes, F. Carapau, P.Correia, A finite strain Raviart-Thomas tetrahedron, European Journal of Mechanics / A Solids, V. 80, 103911 doi.org/10.1016/j.euromechsol.2019.103911, 2020
[18] F. Carapau, P. Correia, T. Rabczuk and P. Areias, One-dimensional model for the unsteady flow of a generalized third-grade viscoelastic fluid, Journal Neural Computing & Applications, doi: 10.1007/s00521-020-04733-w, 2020
[19] Simões, A.M., Carapau, F., Correia, P., New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations, Symmetry, 13(11): 2068, doi.org/10.3390/sym13112068, 2021
[20] Areias P., Melicio R., Carapau F., Carrilho Lopes J., Finite Gradient Models with Enriched RBF-Based Interpolation, Mathematics, 10(16):2876, doi.org/10.3390/
[21] Minhós, F., Carapau, F., Rodrigues, G., Coupled systems with Ambrosetti-Prodi-type differential equations, AIMS Mathematics, 8(8), pp. 19049–19066, doi.org/10.3934/math.2023972, 2023
[22] Carapau, F.; Correia, P.; Rodrigues, G., A Three-Dimensional Velocity Field Related to a Generalized Third-Grade Fluid Model, Mathematics, 12, 1326, doi.org/10.3390/math12091326, 2024
Artigos em Actas de Eventos Científicos com Arbitragem Científica:
[1] Carapau, F., and Sequeira, A., Axisymmetric Flow of a Generalized Newtonian Fluid in a Straight Pipe Using a Director Theory Approach, Proceedings of the 8th WSEAS International Conference on Applied Mathematics, Tenerife, Spain, December 16-18, pp. 303-308, 2005
[2] Carapau, F., and Sequeira, A., Unsteady flow of Oldroyd-B fluids in an uniform rectilinear pipe using 1D models, Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece, May 11-13, pp. 61-66, 2006
[3] Janela, J., Sequeira, A., and Carapau, F., A hyper-viscosity numerical method for the interaction of a shear-dependent fluid with a rigid body, Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece, May 11-13, pp. 85-90, 2006
[4] Carapau, F., Sequeira, A., and Janela, J., Numerical simulation of generalized second-grade fluids using a 1D hierarchical model, Proceedings of the 10th WSEAS International Conference on Applied Mathematics, Dallas, Texas, USA, November 1-3, pp. 337-342, 2006
[5] Carapau, F., Sequeira, A., Swirling motion of a second-order viscous fluid in a straight tube, Proceedings of the International Conference on Topical Problems of Fluid Mechanics, Institute of Thermomechanics AS CR, Prague, Czech Republic, February 28 to March 2, pp. 21-24, 2007
[6] Carapau, F., 1D simulations of shear-thinning fluids with applications to blood flow, Proceedings of the International Conference on Topical Problems of Fluid Mechanics, Institute of Thermomechanics AS CR, Prague, Czech Republic, February 20-22, pp. 13-16, 2008
[7] Carapau, F., Numerical simulations of a second-order fluid with normal stress coefficients depending on the shear rate, Proceedings of the American Conference on Applied Mathematics, University of Harvard, Cambridge, MA, USA, March 24-26, pp. 389-395, 2008
[8] Carapau, F., Perturbed flows of a second-order fluid in a uniform straight tube, Proceedings of the International Conference on System Science and Simulation in Engineering, Venice, Italy, November 21-23, pp. 365-371, 2008
[9] Carapau, F., 1D model of swirling flow motion of a viscous fluid in a circular straight tapered tube, Proceedings of the International Conference on Topical Problems of Fluid Mechanics,Institute of Thermomechanics AS CR, Prague, Czech Republic, February 25-26, pp. 17-20, 2009
[10] Carapau, F., Average Pressure Gradient of Swirling Flow Motion of a Viscoelastic Fluid in a Circular Straight Tube with Constant Radius, Proceedings of the International Conference on Mechanical Engineering, WCE-2009, Imperial College London, London, U.K., 1-3 July, pp. 1431-1435, 2009
[11] Carapau, F., Correia, P., and Grilo, L.M., Specific shear-dependent viscosity third-grade fluid model, ICCMSE 17-24 March, Athens, Greece, AIP Conference Proceeding, v.1790, pp.140008-1–140008-4, 2016