Correction: Analysis of a mathematical model for multi-phase motion and local non-equilibrium heat transfer in a blast furnace

Correction to: Journal of Engineering Mathematics (2025) 150:16 https://doi.org/10.1007/s10665-024-10406-7

The article “Analysis of a mathematical model for multi-phase motion and local non-equilibrium heat transfer in a blast furnace”, written by M. Vynnycky, B. V. Rangavittal, B. Glaser, was originally published under exclusive license to © The Author(s), under exclusive licence to Springer Nature B.V. 2025. As a result of the subsequent decision to publish the article under the open access model, the article’s copyright notice was changed on 17th April 2025 to © The Author(s) 2025 and the article is now distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third-party material in this article is included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://​creativecommons.​or g/licenses/by/4.0/.