معرفی
Professor Elaine Crooks is a faculty member at Swansea University's School of Mathematics and Computer Science within the Faculty of Science and Engineering. Based at the Computational Foundry on Bay Campus, her research focuses on nonlinear partial differential equations with applications spanning materials science, ecology, and image processing. She specializes in singular limits of PDEs, reaction-diffusion systems, travelling waves, and geometric methods for feature detection in images.
Her research investigates fundamental mathematical phenomena including:
- Asymptotic behavior of reaction-diffusion-convection systems
- Front propagation in anisotropic media
- Spatial segregation in population dynamics
- Compensated convex transforms for geometric singularity detection
- Phase transitions in liquid crystals
- Ecological invasion modeling
Analysis of her recent publications reveals strong emphasis on: nonlinear diffusion phenomena, theoretical foundations of convex transforms, travelling wave solutions, and applications of PDEs to biological systems. Her work consistently bridges theoretical mathematics with practical applications in materials science and computational imaging.
Professor Crooks actively supervises PhD students in areas including reaction-diffusion systems, mathematical neuroscience, and wave propagation analysis. She teaches foundational mathematics courses including Introduction to Analysis 1 & 2, offered in both English and Welsh.
