My interests lie in the understanding, translating and then exploring in mathematical terms the physical and social world around us. I am constantly looking for cross-disciplinary knowledge and connections to advance particularly Mathematical Sciences, and science in a broader context.
Currently, my main interest is focussed on:
- Multiscale mathematical analyses and multiscale modeling and simulations with applications on the effect of defects and other special internal structures on materials behavior (concrete, steel, paper);
- Multiscale modeling and simulations of interacting particle systems with applications to crowd dynamics, steel plasticity, and manufacturing systems;
- Asymptotic methods for PDEs;
- Measure-valued evolution equations.
A 3 minutes presentation of one of my multiscale papers can be seen via https://vimeo.com/16937833 while a glimpse on my steadily increasing interest in the modeling of pedestrian flows can be taken from https://www.youtube.com/watch?v=Txrs4ssiAz0.
- Usually, I teach the courses "Fundamental Analysis," "Multiscale Analysis (Homogenization)", and "Introduction to Partial Differential Equations".
- Occasionally, I deliver crash-courses at MSc and PhD level in both "Advances in Continuum Modeling", "Periodic Homogenization", and "Stochastic Differential Equations and Data-driven Modeling".
- I supervise a number of BSc, MSc, PhD students, and postdoctoral researchers. Just contact me in case you intend to join my team.
- Gran Sasso Science Institute (GSSI), L'Aquila, Italy and Eindhoven University of Technology (TUE), NL (doctoral students education)
- Dept. of Mathematics of University of L'Aquila, Italy and Kanazawa University Japan (MSc students education)
- Kanazawa University Japan (BSc students education)
- Centre for Societal Risk Research (CSR, Karlstad University) - affiliated researcher.
Adrian Muntean obtained his MSc in mathematics from Babes-Bolyai University, Cluj-Napoca, Romania, in 1999. He received his Dr. rer. nat. in 2006 at Bremen University, Germany, where he worked as Wissentschaftlicher Mitarbeiter (researcher) at the Zentrum fuer Technomathematik (Centre for Industrial Mathematics) during the period from 2001 to 2007. He continued to work as assitant professor in Applied Analysis with the Eindhoven University of Technology, the Netherlands (2007-2015). His main activities were connected to two institutes CASA (Center for Analysis, Scientific Computing and Applications) and ICMS (Institute for Complex Molecular Systems), before becoming a full professor in mathematics at the Karlstad University in 2015. His research interest focuses on mathematical modeling with differential equations and interacting-particle systems and their applications to the "real world". His work spans the spectrum from fundamental to applied, with mathematical contributions to civil engineering, logistics, combustion engineering, soft matter and complexity, and contributions to asymptotic methods for differential equations with a particular focus on the theory of homogenization. Muntean received his Venia legendi in mathematics with a Habilitationsschrift at the University of Bremen (2011). In 2014 and 2022 he was visiting professor with the University of La Sapienza of Rome, Italy, while in 2018 he was visiting professor with the Gran Sasso Science Institute in L'Aquila, Italy. He serves on the editorial board of two international journals and of three national ones: Advances in Mathematical Sciences and Applications (Gakko Tosho, Tokyo), Applicable Analysis (Taylor Francis), ROMAI Journal (Journal of the Romanian Society for Industrial and Applied Mathematics), Acta Polytechnica (CTU, Prague), and Journal of Numerical Analysis and Approximation Theory (formerly Revue d'Analyse Numérique et de Théorie de l'Approximation).
- A. Muntean C. V. Nikolopoulos ”Colloidal transport in locally periodic evolving porous media – An upscaling exercise”, SIAM J. Appl. Math., Vol. 80, 1, 448--475, 2020.
K. Vo Anh A. Muntean, ”Corrector homogenization estimates for a non-stationary Stokes-Nernst-Planck-Poisson system in perforated domains”, Comm. Math. Sci, Vol. 17, 3, pp. 705–738, 2019.
O. Richardson A. Jalba A. Muntean ”The effect of environment knowledge in evacuation scenarios involving fire and smoke – a multiscale modelling and simulation approach”, Fire Technology, Vol. 55, 2, pp. 415–436, 2019.
A. Vromans F. van de Ven A. Muntean ”A mixture theory-based concrete corrosion model coupling chemical reactions, diffusion and mechanics”, Pacific Journal of Mathematics for Industry, Vol. 10, 5, 2018.
T. I. Seidman A. Muntean, “Asymptotics of diffusion-limited fast reactions”, Quarterly of Applied Mathematics, LXXVI, 2, 199–213, 2018.
T. Aiki A. Muntean ”Large-time behavior of solutions to a thermo-diffusion system with Smoluchowski interactions”, Journal of Differential Equations, vol. 263, 5, pp. 3009-3026, 2017.
M. Eden A. Muntean, ”Corrector estimates for the homogenization of a two-scale thermoelasticity problem with a priori known phase transformations”, Electronic Journal of Differential Equations (EJDE), vol. 2017, no. 57, pp. 1–21, 2017.
J.H.M. Evers S. C. Hille A. Muntean, “Measure-valued mass evolution problems with flux boundary conditions and solution-dependent velocities”, SIAM Journal of Mathematical Analysis, vol. 48, no. 3, pp. 1929–1953, 2016.
E.R. Ijioma T. Ogawa A. Muntean T. Fatima, “Homogenization and dimension reduction of filtration combustion in heterogeneous thin layers”, Networks and Heterogeneous Media, vol. 9, no. 4, pp. 709–737, 2014.