Outputs (2)

Touchdown-singularity formation and criticality in the thin-film equation (2025)
Journal Article
King, J. R., & Bowen, M. (2025). Touchdown-singularity formation and criticality in the thin-film equation. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 383(2296), Article 20230375. https://doi.org/10.1098/rsta.2023.0375

The thin-film equation, ht = −(h n hxxx)x, is significant physically in the description of surface-tension-driven flows of thin films of viscous liquids and has served an important role mathematically in elucidating the properties and challenges of h... Read More about Touchdown-singularity formation and criticality in the thin-film equation.

Smoothing of the higher-order stokes phenomenon (2025)
Journal Article
Howls, C. J., King, J. R., Nemes, G., & Olde Daalhuis, A. B. (2025). Smoothing of the higher-order stokes phenomenon. Studies in Applied Mathematics, 154(2), Article e70008. https://doi.org/10.1111/sapm.70008

For over a century, the Stokes phenomenon had been perceived as a discontinuous change in the asymptotic representation of a function. In 1989, Berry demonstrated it is possible to smooth this discontinuity in broad classes of problems with the prefa... Read More about Smoothing of the higher-order stokes phenomenon.