Regular biography
Ian Tice is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University. His research focuses on the analysis of nonlinear partial differential equations, particularly those arising in physics, such as those from interfacial fluid mechanics and the Ginzburg-Landau model of superconductivity. His work examines the behavior of singularities in these systems, including surfaces of discontinuity in fluids and point singularities in superconductors. Tice has published extensively on topics such as stability and dynamics of fluid interfaces and vortex dynamics in superconductors. He is affiliated with the Mellon College of Science and can be contacted via email at iantice@andrew.cmu.edu or through his website at https://www.cmu.edu/math/people/faculty/tice.html.
Scholar-generated biography
Ian Tice is a researcher at Carnegie Mellon University specializing in partial differential equations, fluid mechanics, and free boundary problems. His work focuses on the mathematical analysis of viscous surface waves, Rayleigh–Taylor instability, and compressible fluid dynamics. Tice investigates the well-posedness, stability, and decay properties of solutions to complex fluid systems, particularly in the absence of surface tension. His research also extends to contact line dynamics and vortex behavior in Ginzburg–Landau models. These studies contribute to understanding the behavior of fluids under various physical conditions and boundary interactions.