Multiscale Analysis: Geometry and Evolution Problems
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Delio Mugnolo
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FernUniversität in Hagen
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Germany
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Léonard Monsaingeon
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Instituto Superior Técnico, Lisboa
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Portugal
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Matthias Neumann
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TU Graz
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Austria
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Introduction:
| | Multiscale systems, where complex dynamics emerge from interactions across multiple spatial and temporal scales, are ubiquitous in nature, technology, and society. The recently approved COST Action mSPACE (CA24122) aims to establish a rigorous mathematical framework for the analysis of such systems, with particular emphasis on large-scale and long-time behavior in discrete, continuous, and hybrid models.
By combining geometric and stochastic perspectives, mSPACE addresses fundamental challenges arising in linear and nonlinear models, network transport phenomena, and biological systems. Core mathematical tools include discrete calculus, asymptotic analysis, spectral geometry, gradient flows, and optimal transport.
A prominent application area is materials science, where multiscale modeling and microstructure optimization naturally arise, illustrating how abstract theory can inform practical design. More broadly, mSPACE seeks to bridge fundamental analysis with real-world modeling challenges.
This special session will showcase recent advances connected to the themes of the Action, bringing together theoretical developments, modeling approaches, and applications, and aims to foster interaction between the multiscale analysis community and applied researchers.
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