Advances in Mathematical Modeling in Science, Engineering, and Social Sciences

This volume collects chapters based on talks given at "The Second International Workshop on Mathematics and Physical Sciences," held in July 2024 at the University of Évora, Portugal, which is a conference of the 9th European Congress of Mathematics of the European Mathematical Society. Chapters bring together well-known experts in a variety of areas to discuss recent trends and challenges in mathematics, physics, and the social sciences, and to encourage new collaborations. A wide range of topics are covered, including:

• Evolutionary dynamics of cellular automata
• Fluid modeling of blood flow
• Inverse conductivity problems
• Passive remote sensing from space
• Network theoretic modeling of soccer

Advances in Mathematical Modeling in Science, Engineering, and Social Sciences will be a valuable resource for researchers in mathematics and the physical sciences with a broad research interest.

Dr. Mourad Bezzeghoud is a distinguished geophysicist and Full Professor at the University of Évora, Portugal. Born in Oran, Algeria, he earned his engineering degree in Applied Geophysics from INHC Boumerdes, followed by a Master’s and PhD in Geophysics from the University Denis Diderot – Paris VII. His research focuses on earthquake seismology, seismic risk, and seismotectonics, particularly in the Ibero-Maghrebian region. Dr. Bezzeghoud has held academic positions across Europe and North Africa, including at the École des Mines de Paris and the University Complutense of Madrid. He has published extensively and coordinated numerous national and international conferences. At Évora, he has served as Director of the School of Science and Technology, President of the Physics Department, and Coordinator of the Institute of Earth Sciences. He is currently an integrated member of the Center for Sci-Tech Research in Earth System and Energy (CREATE), University of Évora (Portugal).

Fernando Carapau is an Associate Professor at the University of Évora in Portugal and Director of the School of Science and Technology. He holds a PhD and Habilitation in Mathematics from Instituto Superior Técnico, University of Lisbon, and a Bachelor's degree in Mathematical Analysis from the University of Évora. His research focuses on mathematical analysis and numerical methods for ordinary and partial differential equations, with applications in fluid mechanics and hemodynamics. Dr. Carapau is an integrated member of the Research Centre for Mathematics and Applications (CIMA) and collaborates with CEMAT-IST. He has developed one-dimensional models using Cosserat theory to study fluid flow in straight and curved tubes, contributing to the understanding of complex fluid-structure interactions. His publications span international journals, highlighting his expertise in non-Newtonian fluid dynamics and applied mathematics. 

Dr. Feliz Manuel Barrão Minhós is a Full Professor in the Department of Mathematics at the University of Évora, Portugal. He holds a PhD and Habilitation in Mathematics and serves as Director of the PhD Program in Mathematics and the Research Centre for Mathematics and Applications (CIMA). His research spans differential equations, boundary value problems, fixed point theory, impulsive systems, and functional differential equations, with a focus on variational and topological methods. Dr. Minhós has published extensively in international journals, books, and conference proceedings, contributing significantly to nonlinear analysis and mathematical modeling. He is a member of the editorial boards of several scholarly journals and actively collaborates with researchers worldwide. In addition to his academic roles, he serves on the Scientific Council of the School of Science and Technology and the editorial board of Évora University Press, reflecting his leadership in both research and institutional development.

Dr. Ashwin Vaidya is a Full Professor in the Department of Mathematics at Montclair State University in Montclair, New Jersey. He holds a Ph.D. in Mechanical Engineering and multiple degrees in Physics and Mathematics from the University of Pittsburgh. Dr. Vaidya’s interdisciplinary research focuses on complex systems, fluid dynamics, and mathematical modeling of biological, psychological, and sociological phenomena. He also holds a joint appointment in the Department of Physics and Astronomy. His academic journey includes postdoctoral appointments at Carnegie Mellon University, Florida State University, and the University of North Carolina at Chapel Hill. Dr. Vaidya is deeply committed to socially responsible education and has contributed to curriculum development that integrates civic and ethical perspectives.  He is the Director of the Complex Fluids Laboratory and has also served as Chairperson of the Mathematics Department and Director of the Science Honors Innovation Program at Montclair State University.