Research

I am an applied mathematician interested in the mathematical modelling and analysis of a broad range of industrial, biological, environmental and geophysical processes.

• Royal Society Research Grant RG/R1/241306

• EPSRC NIA EP/Y021959/1

• Innovate UK AKT #1308

• COSE Rewards for Excellence

• L'Oreal-UNESCO FWIS

• 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)