Publications

Articles in journals Books Chapters in books Conference papers Doctoral theses, monographs Licentiate theses, monographs Reports

Articles in journals

Flodén, L. , Holmbom, A. , Olsson Lindberg, M. & Persson, J. (2014). Homogenization of parabolic equations with an arbitrary number of scales in both space and time. Journal of Applied Mathematics, , pp. Art. no. 101685

Holmbom, A. , Olsson Lindberg, M. , Persson, J. & Flodén, L. (2013). A note on parabolic homogenization with a mismatch between the spatial scales. Abstract and Applied Analysis, , pp. Art. no. 329704

Floden, L. , Holmbom, A. , Olsson Lindberg, M. & Persson, J. (2013). Two-scale convergence: Some remarks and extensions. Pure and Applied Mathematics Quarterly, vol. 9: 3, pp. 461-486.

Flodén, L. , Holmbom, A. & Olsson Lindberg, M. (2012). A strange term in the homogenization of parabolic equations with two spatial and two temporal scales. Journal of Function Spaces and Applications, , pp. Art. no. 643458

Flodén, L. , Holmbom, A. , Olsson, M. & Persson, J. (2011). Detection of scales of heterogeneity and parabolic homogenization applying very weak multiscale convergence. Annals of Functional Analysis, vol. 2: 1, pp. 84-99.

Flodén, L. , Holmbom, A. , Olsson, M. & Persson, J. (2010). Very weak multiscale convergence. Applied Mathematics Letters, vol. 23: 10, pp. 1170-1173.

Floden, L. , Holmbom, A. , Olsson, M. & Svanstedt, N. (2007). Reiterated homogeneization of monotone parabolic problems. Annali dell'Universita di Ferrara, vol. 53: 2, pp. 217-232.

Floden, L. & Olsson, M. (2007). Homogenization of some parabolic operators with several time scales. Applications of Mathematics, vol. 52: 5, pp. 431-446.

Flodén, L. & Olsson, M. (2006). Reiterated homogenization of some linear and nonlinear monotone parabolic operators. Canadian Applied Mathematics Quarterly, vol. 14: 2, pp. 149-184.

Flodén, L. & Olsson, M. (2005). On the effective heat conduction properties of heterogeneous media with multiple scales. IASME Transactions., vol. 2, pp. 180-183.

Books

Flodén, L. & Olsson, M. (2005). Reiterated homogenization of some linear and nonlinear monotone parabolic operators. Göteborg : Chalmers tekniska högskla (Preprint (Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University) 2005-10)

Chapters in books

Flodén, L. , Holmbom, A. , Olsson, M. & Silfver, J. (2008). Some remarks on homogenization in perforated domains. In Integral Methods in Science and Engineering : Techniques and Applications. Boston : Birkhäuser Verlag. pp. 89-97.

Conference papers

Flodén, L. , Holmbom, A. , Olsson, M. & Persson, J. (2009). On the determination of effective properties of certain structures with non-periodic temporal oscillations. In MATHMOD 2009 - 6th Vienna International Conference on Mathematical Modelling. Wien : (Argesim Report). pp. 2627--2630.

Flodén, L. , Holmbom, A. , Olsson, M. & Persson, J. (2009). A myriad shades of green. In Proceedings of Bridges 2009, Banff, Alberta, Canada.

Flodén, L. , Holmbom, A. , Olsson, M. & Silfver, J. (2006). A model for the heat transfer between steel edge and running base in alpine racing skis. In WSEAS transactions on heat and mass transfer.,ISSN 1790-5044.. pp. 256--261.

Flodén, L. , Holmbom, A. , Olsson, M. , Silfver, J. & Catrakis, R. J. (2006). On a heat transfer problem related to alpine ski racing. In Proceedings of the WSEAS HEAT '06, FLUID '06 : Elounda, Agios Nikolaos, Crete Island, Greece, August 21 - 23, 2006 ; 4th IASME/WSEAS International Conference on Heat Transfer, Thermal Engineering and Environment, 4th IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics: CD-rom. Elounda, Greece :

Flodén, L. , Holmbom, A. , Olsson, M. , Silfver, J. & Troch, I. (2006). On some convergemce results and their relation to the impact of impurities on effective heat conduction properties. In Proceedings / 5th MATHMOD Vienna : February 8 - 10, 2006, Vienna University of Technology, Austria. Wien : (ARGESIM report)

Floden, L. , Holmbom, A. , Olsson, M. & Silfver, J. (2006). On the convergence and determination of limits for some sequences of differential operators : Presented at The Ninth International Conference on Integral Methods in Science and Engineering, Niagara Falls, Ontario, Canada, July 23-27 2006. .

Flodén, L. & Olsson, M. (2005). On the effective heat conduction properties of heterogeneous media with multiple scales. In Proceedings. 2005 IASME / WSEAS International Conference on Heat and mass transfer.. pp. 180--183.

Floden, L. & Olsson, m. (2005). Some convergence results for sequences of oscillating parabolic operators with multiple scales : Presented at the 26-th Midwest-Pacific Differential Equations Conference. .

Doctoral theses, monographs

Flodén, L. (2009). G-Convergence and Homogenization of some Sequences of Monotone Differential Operators. Dis. Östersund : Mittuniversitetet, 2009 (Mid Sweden University doctoral thesis : 70)

Licentiate theses, monographs

Flodén, L. (2005). G-convergence and homogenization for some monotone operators with multiple scales. Lic. Östersund : Mittuniversitetet, 2005 (Mid Sweden University licentiate thesis : 7)

Reports

Flodén, L. & Olsson, M. (2006). Some convergence results for evolution problems with multiple scales. Sundvall : Mittuniversitetet, FSCN (Rapportserie FSCN 2006:35) (FSCN-rapport R-06-64)