Kate Lgotina

I’m a PhD student in Engineering
at Durham University.

My research develops a new mathematical modelling framework which will be vital for understanding how cold-region infrastructure responds to the sudden and gradual thawing of ice.The research explores the impact of pressure-induced freezing point depression which demonstrates strong capillary pressure effect within soils.My educational background is in applied mathematics. I hold a  BSc (2018)  and  MSc (2022) in Mathematics and Mathematical Modelling , from Novosibirsk State University (a leading Russian university in the QS Rankings).I then worked as a junior researcher and as a member of several research projects, including research grants on multiscale mechanics of flow and failure in disordered porous media.

Select Publications

Mathematical modelling of pressure induced freezing point depression within soils exhibiting strong capillary pressure effect
Lgotina, E., Mathias, S., Lloret-Cabot, M., & Ireson, A. (2024). Mathematical modelling of pressure induced freezing point depression within soils exhibiting strong capillary pressure effect. In W. M. Coombs (Ed.), UKACM Proceedings 2024 (pp. 52-55). UK Association for Computational Mechanics.Ascent of volatile-rich felsic magma in dikes: a numerical model applied to deep-sourced porphyry intrusions R Abdullin, O Melnik, A Rust, J Blundy, E Lgotina, S Golovin (2024). Ascent of volatile-rich felsic magma in dykes: a numerical model applied to deep-sourced porphyry intrusions, Geophysical Journal International, Volume 236, Issue 3, March 2024, Pages 1863–1876A Mini-Frac Analysis Using a Direct Hydraulic Fracture Simulation via the Fully-Coupled Planar 3D Model
Baykin, A., Lgotina, E., Shel, E., & Paderin, G. (2021). A Mini-Frac Analysis Using a Direct Hydraulic Fracture Simulation via the Fully-Coupled Planar 3D Model. Rock Mechanics and Rock Engineering, 54(9).Two-machine routing open shop on a tree: instance reduction and efficiently solvable subclass
Chernykh, I., & Lgotina, E. (2021). Two-machine routing open shop on a tree: instance reduction and efficiently solvable subclass. Optimization Methods and Software, 36(4), 821-841.How the Difference in Travel Times Affects the Optima Localization for the Routing Open Shop
Chernykh, I., & Lgotina, E. (2019). How the Difference in Travel Times Affects the Optima Localization for the Routing Open Shop. In Mathematical Optimization Theory and Operations Research.