Organized Sessions
Minisymposium: Variational and monotonicity methods in PDEs with applications
Organizers:
Pasquale Candito, Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Italy, e-mail: pasquale.candito@unipa.it
Leszek Gasiński, Institute of Mathematics, University of the National Education Commission, Krakow, Poland, e-mail: leszek.gasinski@uken.krakow.pl
Anna Ochal, Chair of Optimization and Control, Jagiellonian University, Krakow, Poland e-mail: anna.ochal@uj.edu.pl
Description: This mini symposium will provide a comprehensive overview of recent advancements in the study of partial differential equations (PDEs), boundary value problems, and differential inequalities, with a particular focus on variational and monotonicity methods. By bridging theory and practice, the session aims to demonstrate how these mathematical tools offer deep insights into a wide range of problems in science and engineering, addressing some of the most challenging issues in mathematical modeling and its real-world impact.
The event seeks to bring together experts, researchers, and practitioners to discuss emerging trends, innovative techniques, and applications in these fundamental areas of mathematics. In addition, the mini symposium will highlight practical and applied aspects, showcasing how these ideas can drive progress in both theoretical and applied mechanics.
Minisymposium: Numerical Analysis and Computational Methods for Mechanics
Organizer: Krzysztof Bartosz, Chair of Optimization and Control, Jagiellonian University, Krakow, Poland e-mail: Krzysztof.bartosz@uj.edu.pl
Description: Although considerable progress has been made in recent decades on Mechanics, many new and original problems have emerged on Mechanics, encompassing mathematical, physical and engineering aspects. For these reasons, numerics of these problems have to be considered. Therefore, the aim of this minisymposium is to give an overview of recent researches in numerics for Mechanics. It will cover the following topics: numerical modelling of nonsmooth and nonlinear laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes and numerical methods with emphasis on accurate and reliable computational tools.
Minisymposium: Recent advances in non-linear and non-smooth computational mechanics
Organizers: Mikael Barboteu, Francesco Bonaldi and Serge Dumont, University of Perpignan Via Domitia, France, e-mail: barboteu@univ-perp.fr
Description: This minisymposium focuses on cutting-edge methods for modeling and simulation of highly non-linear and non-smooth mechanical systems. Contributions will address new theoretical formulations, robust numerical strategies, and efficient computational algorithms. Emphasis is placed on challenges such as contact, friction, impacts, damage, and large deformations. Applications spanning structural dynamics, materials engineering, biomechanics, and multi-physics systems are welcome. The session aims to foster interdisciplinary dialogue and highlight emerging directions in next-generation computational mechanics.
Minisymposium: Uncertainty quantification and microstructural disorder
Organizers:
Marcin Kamiński, Lodz University of Technology, e-mail: marcin.kaminski@p.lodz.pl
Sei-ichiro Sakata, Kindai University, Japan, e-mail: sakata@mech.kindai.ac.jp
Description: This minisymposium focuses on modern uncertainty quantification algorithms, methods and their applications in widely understood engineering. Invited contributions will address possible applications of the Monte-Carlo simulations, Bayesian techniques, various form expansions like Karhunen-Loeve or Taylor series as well as some analytical and semi-analytical probabilistic and/or stochastic models. The emphasis is placed on such issues as modeling error, probabilistic convergence, probabilistic entropy and distance as well as the impact of uncertainty propagations in different engineering structures or systems. Theoretical and numerical challenges of micro-mechanics including multiscale analysis, homogenization of composite materials, disorder quantification and impact as well as fracture and durability prediction are specifically welcome. This session aims to foster an application of the artificial neural networks and machine learning in stochastic analysis and reliability assessment.
Minisymposium: Recent developments in nonlinear analysis and its applications
Organizers:
Maria-Magdalena Boureanu, Department of Mathematics, University of Craiova, Romania, e-mail: mmboureanu@yahoo.com
Elisabetta Tornatore, Department of Mathematics and Informatics, University of Palermo (UNIPA), Italy, e-mail: elisa.tornatore@unipa.it
Description: This minisymposium is devoted to recent advances in both the theoretical and applied aspects of nonlinear analysis, which provide tools to tackle complex problems arising, for example, in mechanics, physics, biology, or engineering. In particular, we are concerned with various classes of partial differential equations, including but not limited to p-Laplace equations, well-posed problems, variable exponent problems, anisotropic equations, and double-phase problems with convection terms. We focus on solvability and qualitative properties of the solutions such as existence, uniqueness, multiplicity, a priori estimates, and regularity. Thus, our aim is to bring together researchers from different branches of pure and applied analysis, to present new insights, to share novel perspectives, to stimulate fruitful discussions, and to foster new collaborations.
Minisymposium: Energy harvesting, smart self-power sensors, machine structure dynamics and diagnostics
Organizer: Arkadiusz Mystkowski, Bialystok University of Technology, e-mail: a.mystkowski@pb.edu.pl
Description: This session will provide a comprehensive overview of recent advancements in the field of autonomous sensing and intelligent diagnostics, focusing on the synergy between machine diagnostics, energy harvesting, smart self-power sensors, machine structure dynamics, and cutting-edge data analytics. By bridging fundamental research and practical implementation, the minisymposium aims to demonstrate how these integrated technologies, powered by AI and machine learning, enable transformative, self-sustaining monitoring solutions for Industry 4.0, sustainable engineering, and predictive maintenance. The event will explore complete cyber-physical systems, from on-board sensor units and edge computing to cloud-based telemetry and hierarchical diagnostic intelligence. The event seeks to bring together experts, researchers, and practitioners to discuss emerging trends, innovative designs, and applications in these interconnected areas. In addition, the minisymposium will highlight practical implementations—such as in smart machinery and autonomous energy-harvesting systems—showcasing how the convergence of energy autonomy, smart sensing, and AI drives progress in structural health monitoring, reliability engineering, and the development of next-generation intelligent mechanical systems.
Asymptotic methods in solid and fluid mechanics
Organizer: Ángel Daniel Arós Rodríguez, e-mail: angel.aros@udc.es
Description: Asymptotic methods are mathematical techniques that exploit the presence of very small or very large parameters to simplify complex equations and obtain approximate solutions that capture the essential physics of a problem. In solid mechanics, they are used to describe behavior in situations with strong variations in stress or geometry, such as near crack tips, in thin structures like beams, plates and shells, or in localized deformation zones. In fluid mechanics, asymptotic ideas contribute to boundary-layer theory, lubrication flows, and many reduced models that separate fast and slow or thin and thick regions of flow. Overall, these methods make otherwise intractable problems more understandable by reducing them to simpler forms that reveal the dominant physical mechanisms at work. This minisymposium is conceived to gather specialists in the field and analyse the most recent trends of research in the subject.