Dr Katarzyna Kowal
- Senior Lecturer (Mathematics)
telephone:
01413307705
email:
Katarzyna.Kowal@glasgow.ac.uk
Biography
- 2024-date: Senior Lecturer in Applied Mathematics, University of Glasgow
- 2021-2024: Lecturer in Applied Mathematics, University of Glasgow
- 2018-2021: Research Fellow in Applied Mathematics, Trinity College & DAMTP, University of Cambridge, UK
- 2016-2018: Post-Doctoral Research Fellow, Northwestern University, Evanston, IL, USA
- 2013-2016: Ph.D., Applied Mathematics, University of Cambridge, UK
- 2012-2013: M.Math. (Part III Maths), University of Cambridge, UK
- 2009-2012: B.A. Mathematics, University of Cambridge, UK
Research interests
I am an applied mathematician who uses mathematical modelling, computations and laboratory experiments to understand a broad range of industrial, biological, environmental and geophysical processes.
Research groups
Publications
2024
Yang, H., Mottram, N. J. and Kowal, K. N. (2024) Dynamics of a thin film of fluid spreading over a lubricated substrate. Journal of Fluid Mechanics, (Accepted for Publication)
Yan, Z. and Kowal, K. N. (2024) A controllable sliding law for thin-film flows over slippery fluid-saturated substrates: theory and experiments. Journal of Fluid Mechanics, 982, A14. (doi: 10.1017/jfm.2024.127)
2022
Leung, L. T. and Kowal, K. N. (2022) Lubricated viscous gravity currents of power-law fluids. Part 1. Self-similar flow regimes. Journal of Fluid Mechanics, 940, A26. (doi: 10.1017/jfm.2022.214)
Leung, L. T. and Kowal, K. N. (2022) Lubricated viscous gravity currents of power-law fluids. Part 2. Stability analysis. Journal of Fluid Mechanics, 940, A27. (doi: 10.1017/jfm.2022.263)
2021
2020
Kowal, K. N. and Worster, M. G. (2020) The formation of grounding zone wedges: theory and experiments. Journal of Fluid Mechanics, 898, A12. (doi: 10.1017/jfm.2020.393)
2019
Kowal, K. N. , Davis, S. H. and Voorhees, P. W. (2019) Surface deformations in dynamic thermocapillary convection under partial slip. Physical Review E, 100(2), 022802. (doi: 10.1103/PhysRevE.100.022802)
Kowal, K. N. and Worster, M. G. (2019) Stability of lubricated viscous gravity currents. Part 1. Internal and frontal analyses and stabilisation by horizontal shear. Journal of Fluid Mechanics, 871, pp. 970-1006. (doi: 10.1017/jfm.2019.321)
Kowal, K. N. and Worster, M. G. (2019) Stability of lubricated viscous gravity currents. Part 2. Global analysis and stabilisation by buoyancy forces. Journal of Fluid Mechanics, 871, pp. 1007-1027. (doi: 10.1017/jfm.2019.322)
Kowal, K. N. and Davis, S. H. (2019) Strong shear-flow modulation of instabilities in rapid directional solidification. Acta Materialia, 164, pp. 464-472. (doi: 10.1016/j.actamat.2018.10.054)
2018
Kowal, K. N. , Davis, S. H. and Voorhees, P. W. (2018) Thermocapillary instabilities in a horizontal liquid layer under partial basal slip. Journal of Fluid Mechanics, 855, pp. 839-859. (doi: 10.1017/jfm.2018.684)
2017
Kowal, K. N. , Davis, S. H. and Voorhees, P. W. (2017) Instabilities in rapid directional solidification under weak flow. Physical Review E, 96(6), 062802. (doi: 10.1103/PhysRevE.96.062802)
Kowal, K. N. , Altieri, A. L. and Davis, S. H. (2017) Strongly nonlinear theory of rapid solidification near absolute stability. Physical Review E, 96(4), 042801. (doi: 10.1103/PhysRevE.96.042801)
2016
Kowal, K. N. , Pegler, S. S. and Worster, M. G. (2016) Dynamics of laterally confined marine ice sheets. Journal of Fluid Mechanics, 790, R2. (doi: 10.1017/jfm.2016.37)
2015
Kowal, K. N. and Worster, M. G. (2015) Lubricated viscous gravity currents. Journal of Fluid Mechanics, 766, pp. 626-655. (doi: 10.1017/jfm.2015.30)
2013
Pegler, S. S., Kowal, K. N. , Hasenclever, L. Q. and Worster, M. G. (2013) Lateral controls on grounding-line dynamics. Journal of Fluid Mechanics, 722, R1. (doi: 10.1017/jfm.2013.140)
Articles
Yang, H., Mottram, N. J. and Kowal, K. N. (2024) Dynamics of a thin film of fluid spreading over a lubricated substrate. Journal of Fluid Mechanics, (Accepted for Publication)
Yan, Z. and Kowal, K. N. (2024) A controllable sliding law for thin-film flows over slippery fluid-saturated substrates: theory and experiments. Journal of Fluid Mechanics, 982, A14. (doi: 10.1017/jfm.2024.127)
Leung, L. T. and Kowal, K. N. (2022) Lubricated viscous gravity currents of power-law fluids. Part 1. Self-similar flow regimes. Journal of Fluid Mechanics, 940, A26. (doi: 10.1017/jfm.2022.214)
Leung, L. T. and Kowal, K. N. (2022) Lubricated viscous gravity currents of power-law fluids. Part 2. Stability analysis. Journal of Fluid Mechanics, 940, A27. (doi: 10.1017/jfm.2022.263)
Kowal, K. N. (2021) Viscous banding instabilities: non-porous viscous fingering. Journal of Fluid Mechanics, 926, A4. (doi: 10.1017/jfm.2021.660)
Kowal, K. N. and Worster, M. G. (2020) The formation of grounding zone wedges: theory and experiments. Journal of Fluid Mechanics, 898, A12. (doi: 10.1017/jfm.2020.393)
Kowal, K. N. , Davis, S. H. and Voorhees, P. W. (2019) Surface deformations in dynamic thermocapillary convection under partial slip. Physical Review E, 100(2), 022802. (doi: 10.1103/PhysRevE.100.022802)
Kowal, K. N. and Worster, M. G. (2019) Stability of lubricated viscous gravity currents. Part 1. Internal and frontal analyses and stabilisation by horizontal shear. Journal of Fluid Mechanics, 871, pp. 970-1006. (doi: 10.1017/jfm.2019.321)
Kowal, K. N. and Worster, M. G. (2019) Stability of lubricated viscous gravity currents. Part 2. Global analysis and stabilisation by buoyancy forces. Journal of Fluid Mechanics, 871, pp. 1007-1027. (doi: 10.1017/jfm.2019.322)
Kowal, K. N. and Davis, S. H. (2019) Strong shear-flow modulation of instabilities in rapid directional solidification. Acta Materialia, 164, pp. 464-472. (doi: 10.1016/j.actamat.2018.10.054)
Kowal, K. N. , Davis, S. H. and Voorhees, P. W. (2018) Thermocapillary instabilities in a horizontal liquid layer under partial basal slip. Journal of Fluid Mechanics, 855, pp. 839-859. (doi: 10.1017/jfm.2018.684)
Kowal, K. N. , Davis, S. H. and Voorhees, P. W. (2017) Instabilities in rapid directional solidification under weak flow. Physical Review E, 96(6), 062802. (doi: 10.1103/PhysRevE.96.062802)
Kowal, K. N. , Altieri, A. L. and Davis, S. H. (2017) Strongly nonlinear theory of rapid solidification near absolute stability. Physical Review E, 96(4), 042801. (doi: 10.1103/PhysRevE.96.042801)
Kowal, K. N. , Pegler, S. S. and Worster, M. G. (2016) Dynamics of laterally confined marine ice sheets. Journal of Fluid Mechanics, 790, R2. (doi: 10.1017/jfm.2016.37)
Kowal, K. N. and Worster, M. G. (2015) Lubricated viscous gravity currents. Journal of Fluid Mechanics, 766, pp. 626-655. (doi: 10.1017/jfm.2015.30)
Pegler, S. S., Kowal, K. N. , Hasenclever, L. Q. and Worster, M. G. (2013) Lateral controls on grounding-line dynamics. Journal of Fluid Mechanics, 722, R1. (doi: 10.1017/jfm.2013.140)
Grants
- Royal Society Research Grant RG/R1/241306
- EPSRC NIA EP/Y021959/1
- Innovate UK AKT #1308
- COSE Rewards for Excellence
- L'Oreal-UNESCO FWIS
Supervision
Current PhD Students
- Haolin Yang
- Joseph Ijuptil Kwajighu
- Tanisha Kumari
- Hessah Almaaz
- Zubaydah Alotaibi
Current Postdocs
- Dr Hannah-May D'Ambrosio
Prospective PhD Students
I am currently looking for PhD students.
Possible PhD projects involve mathematical modelling and analysis (theoretical/computational) of various geophysical, industrial or environmental phenomena, including, for example:
- Ice sheet dynamics (the fluid mechanics of ice sheets, subglacial processes, including basal lubrication, ice-ocean interactions, ice sheet stability)
- Viscous fingering instabilities
- The fluid mechanics of additive manufacturing/3D printing (thermocapillary effects, rapid solidification)
- Fluid-structure interaction
- Thin-film flow
- Thermocapillary convection
- Flows involving phase change (solidification of fluids, morphological instabilities)
Prospective applicants should contact me at katarzyna.kowal@glasgow.ac.uk to discuss possibilities.
- Almaaz, Hessah Motlaq K
Interfacial fluid mechanics: mathematical modelling and applications - Alotaibi, Zubaydah Naif F
Pilot-wave hydrodynamics: modelling and computation - Joseph, Ijuptil
Mathematical Modelling of Active Fluids - Kumari, Tanisha
The mathematics of glacial ice sheets and their role in the changing climate - Yang, Jie
Resonant sloshing of confined water waves