The current research focusses on solving problems in pure and applied mathematics by using mathematical and numerical analysis. Other research interests include modelling physical phenomena described by differential equations and using analytical and/or numerical methods to obtain solutions to these real-world problems that arise in science, engineering, and medicine.
Lozano, A. I.; Kumar, S.; Pereira, P.J.S.; Kerkeni, B.; García, G.; Limão-Vieira, P. Low-lying Negative Ion States Probed in Potassium – Ethanol Collisions. ChemPhysChem 25 (14), 1-10 (2024). https://doi.org/10.1002/cphc.202400314
Pereira, P.J.S.; Lopes, N.D.; Trabucho, L. Soliton-type and other travelling wave solutions for an improved class of nonlinear sixth-order Boussinesq equations. Nonlinear Dynamics 82 (1), 783-818 (2015). https://doi.org/10.1007/s11071-015-2196-9
Pereira, P.J.S.; Escrivão, M.L.; Teixeira, M.R.; Maneira, M.J.P.; Nunes, Y. Analytical model and measurements of the target erosion depth profile of balanced and unbalanced magnetron cathodes. Plasma Sources Science and Technology 23, 1-12 (2014). https://doi.org/10.1088/0963-0252/23/6/065031
Rodrigues, D.B.; Maccarini, P.F.; Salahi, S.; Oliveira, T.R.; Pereira, P.J.S.; Limão-Vieira, P.; Snow, B.W.; Reudink, D.; Stauffer, P.R. Design and optimization of an ultra wideband and compact microwave antenna for radiometric monitoring of brain temperature. IEEE Transactions on Biomedical Engineering 61, 2154-2160 (2014). https://doi.org/10.1109/TBME.2014.2317484
Pereira, P.J.S.; Atkinson, C. Invariant integrals applied to nematic liquid crystals with small Ericksen number and topological defects. International Journal of Engineering Science 76, 12-26 (2014). https://doi.org/10.1016/j.ijengsci.2013.11.015
Rodrigues, D.B.; Pereira,P.J.S.; Limão-Vieira, P.; Stauffer, P.R.; Maccarini, P.F. Study of the one dimensional and transient bioheat transfer equation: multi-layer solution development and applications. International Journal of Heat and Mass Transfer 62, 153-162 (2013). https://doi.org/10.1016/j.ijheatmasstransfer.2012.11.082
Atkinson, C.; Pereira, P.J.S. Orientational director effects in nematic liquid crystals with small Ericksen number. Proceedings of the Royal Society A 462, 2737-2758 (2006). https://doi.org/10.1098/rspa.2005.1638
More information in:
ORCID ID: 0000-0003-4503-3175
Scopus Author ID: 55984152700