Pernilla Johnsen

Publications

Articles in journals
Conference papers
Licentiate theses, monographs
Manuscripts

Articles in journals

Danielsson, T. , Flodén, L. , Johnsen, P. & Olsson Lindberg, M. (2024). Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales. Applications of Mathematics, vol. 69: 1, pp. 1-24.  

Danielsson, T. & Johnsen, P. (2021). Homogenization of linear parabolic equations with three spatial and three temporal scales for certain matching between the microscopic scales. Mathematica Bohemica, vol. 146: 4, pp. 483-511.    

Johnsen, P. & Lobkova, T. (2018). Homogenization of a linear parabolic problem with a certain type of matching between the microscopic scales. Applications of Mathematics, vol. 63: 5, pp. 503-521.  

Conference papers

Danielsson, T. & Johnsen, P. (2019). Homogenization of the heat equation with a vanishing volumetric heat capacity. In Progress in Industrial Mathematics at ECMI 2018. (Mathematics in Industry)  

Flodén, L. , Holmbom, A. , Jonasson, P. , Lobkova, T. , Olsson Lindberg, M. & Zhang, Y. (2017). A discussion of a homogenization procedure for a degenerate linear hyperbolic-parabolic problem. In AIP Conference Proceedings. (AIP Conference Proceedings)  

Flodén, L. , Holmbom, A. , Jonasson, P. , Olsson Lindberg, M. , Lobkova, T. & Persson, J. (2017). Homogenization of a Hyperbolic-Parabolic Problem with Three Spatial Scales. In Progress in Industrial Mathematics at ECMI 2016. (Mathematics in Industry). pp. 617--623.    

Licentiate theses, monographs

Johnsen, P. (2021). Homogenization of Partial Differential Equations using Multiscale Convergence Methods. Lic. Sundsvall : Mid Sweden University, 2021 (Mid Sweden University licentiate thesis : 183)  

Manuscripts

Danielsson, T. , Flodén, L. , Holmbom, A. , Johnsen, P. & Olsson Lindberg, M. On some concepts of convergence and their connections.