About
Pernilla Johnsen is an Assistant Professor and Research Student at the Department of Engineering, Mathematics and Subject Didactics at Mid Sweden University (Östersund campus). Her office is located at Akademigatan 1, room Q207F, and she can be contacted via email or phone (+46 10-1428139).
Research Focus: Her work centers on mathematical homogenization theory, specializing in the analysis of partial differential equations with multiple spatial and temporal scales. Key research areas include:
- Asymptotic behavior of parabolic and hyperbolic-parabolic systems
- Multiscale convergence methods for degenerate equations
- Microscopic scale interactions in linear PDEs
- Vanishing parameter limits in thermodynamic models
Publication Analysis: Johnsen's 6 most recent publications (2017-2024) focus exclusively on advanced homogenization techniques. Her work demonstrates progressive complexity—from triple-scale parabolic systems (2021) to arbitrary-scale monotone problems (2024)—with consistent emphasis on rigorous convergence proofs and matching conditions across microscopic domains.
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