Department of Mathematics and Computer Sciences, FB3 , University of Bremen, Center for Industrial Mathematics (ZeTeM) , P.O. 330440, Bremen, D‐28334, Germany
Department of Mathematics and Computer Sciences, FB3 , University of Bremen, Center for Industrial Mathematics (ZeTeM) , P.O. 330440, Bremen, D‐28334, Germany
This note emphasizes the application of the moving‐boundary methodology in the modelling of two processes of particular industrial relevance. The first model explains the application of the Stefan and Signorini type boundary conditions in the modelling of the thermal cutting of metals by a plasma beam, while the second model shows how interface kinetic conditions, employed within the framework of a two‐phase Stefan‐like model, can describe the dynamics of an aggressive reaction front in concrete‐based materials. Our formulations provide a conceptually new approach towards the understanding of the involved physical processes. The connection between the two models is discussed as well. It relies on the presence of non‐equilibrium conditions driving the moving interface.
Narimanyan, A., & Muntean, A. (2006). Mathematical modelling driven by two industrial applications: A moving‐boundary approach. Mathematical Modelling and Analysis, 11(3), 295-314. https://doi.org/10.3846/13926292.2006.9637319
Authors who publish with this journal agree to the following terms
that this article contains no violation of any existing copyright or other third party right or any material of a libelous, confidential, or otherwise unlawful nature, and that I will indemnify and keep indemnified the Editor and THE PUBLISHER against all claims and expenses (including legal costs and expenses) arising from any breach of this warranty and the other warranties on my behalf in this agreement;
that I have obtained permission for and acknowledged the source of any illustrations, diagrams or other material included in the article of which I am not the copyright owner.
on behalf of any co-authors, I agree to this work being published in the above named journal, Open Access, and licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and re-use of the work for the benefit of scholarly information.
For authors that are not copyright owners in the work (for example government employees), please contact VILNIUS TECHto make alternative agreements.
