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.
Part I Pure Mathematics.
Chapter 1 Algebraic structure for recombining
cellular automata.
Chapter 2 Extending Meadows to the Non-Comutative Case.-
Chapter 3 Determinant-Permanent Relations in Singular Symmetric Matrices.-
Chapter 4 A note on nonlocal supremal functionals.
Chapter 5
Ambrosetti-Prodi alternative for higher-order functional problems.
Chapter 6
Factorisation of the Classical Nonstandard Bounded Functional
Interpretation.
Chapter 7 Elementary nonstandard axiomatic systems and
standard real numbers.- Part II Differential Equations & Dynamical Systems.-
Chapter 8 SBH-ellipticity of the relaxed interfacial energy density in the
context of second-order structured deformations.
Chapter 9 First-Order
Nonlinear Problems with Re ection and Piecewise Constant Dependence.
Chapter
10 Milnor Attractors on pattern iterations of flat-topped tent maps
revisited.
Chapter 11 Vasicek and CIR stochastic differential equations
models applied to mortality rates.- Part III Applied Mathematics &
Mathematical Modeling.
Chapter 12 Mathematical modelling of global solar
radiation using machine learning.
Chapter 13 Modelling and Characterization
of Photovoltaic Thermal System an Overview.
Chapter 14 Investigation of
Virus Transmission in Plants by Using Time Delay Tool, Curative
and Preventive Treatment.
Chapter 15 Passive Seismic Tomography: Evaluating
the Effect of Earthquake Clustering on Crustal Structure Accuracy.
Chapter
16 Simulation and Statistical Analysis of Streamer Discharges in Spherical
Cavities under HVDC Conditions.
Chapter 17 Mathematical Modeling of
Collective Behavior in Physical and Social Systems.
Chapter 18 Analysis and
Mathematical Recomposition of The Art of the Fugue.- Part IV Machine Learning
& Data Science Applications.
Chapter 19 A Normalized Deep Learning Framework
for 2D Linear Elasticity with Graph Neural Networks.
Chapter 20 Portuguese
Archives Handwritten Text Recognition of Passport Requisitions.- Part V
Statistics & Estimation Theory.
Chapter 21 Delta method estimation for SDE
mixed models: sensitivity to random parameter distribution.
Chapter 22
Modeling Air Quality During Portugal's Fire Season Using Extreme Value
Theory.
Chapter 23 Novel and Robust Total Least Squares Estimation Method
for Non Linear Models.
Chapter 24 Four Estimation Approaches for Structural
Equation Modeling: an Empirical Appli-
cation in psychosocial risk.
Chapter 25 Statistical information theory and
its importance for the development of statistical methods.- Part VI
Optimization & Control in Stochastic Environments.
Chapter 26 Optimal
harvesting in randomly varying environments: sensitivity of profit and
effort to population and economic parameter.
Chapter 27 State Space
Interpretation of Governance: A Control Theoretic Perspective.
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 Masters 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. Vaidyas 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.
