Dr. Steven Roper

Assistant Professor

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Biography

Steven Roper is a Senior Lecturer in the School of Mathematics & Statistics at the University of Glasgow. His research is primarily focused on solid mechanics, fluid mechanics, and the mathematical aspects of materials science. Dr. Roper has a particular interest in the behavior of fluid-filled cracks, phase transformations, and the growth of solids. He investigates the evolution of mushy layers and the flow within porous media, along with the dynamics of foams and non-equilibrium thermodynamics. His work often intersects with thermomechanics, particularly in relation to phase boundaries involving finite elasticity. Dr. Roper employs various mathematical and computational techniques to explore these complex systems. He is well-versed in general numerical methods, partial differential equations, optimal transportation theory, and computational geometry, including applications of generalized Voronoi diagrams. His contributions to the field highlight his commitment to advancing knowledge in mechanics and thermodynamics, especially as they relate to differential geometry and other foundational concepts.

Research Interests