Physics-Informed Spatiotemporal Surrogate Modeling and Robust Operational Optimization for CO₂ Applications in Subsurface Flow under Permeability Uncertainty Zhao Beichen, Visiting Student, Applied Mathematics and Computational Science Sep 17, 12:00 - 13:00 B9 R2325 Physics-informed Neural Networks Deep learning numerical simulations uncertainty quantification subsurface fluid flow This talk presents a physics-informed spatiotemporal surrogate that predicts coupled CO₂ storage and geothermal responses under geological uncertainty and enables rapid, risk-aware optimization of staged well controls.
Threshold Dynamics and Delayed Closure in a Moving-Boundary Model of Epidermal Wound Healing Zhang Zhiwen, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Sep 10, 12:00 - 13:00 B9 R2325 healthcare technologies numerical analysis analytical tools numerical simulations healthcare analytics We analyze how growth-factor production, diffusion, decay, activation thresholds, and wound geometry interact to determine whether epidermal wound closure begins, proceeds continuously, experiences repeated delays, or stops before completion.
C1+alpha Regularity for the Fractional p-Laplacian David De Jesus, Postdoctoral Research Fellow, Applied Mathematics and Computational Science Feb 19, 12:00 - 13:00 B9 L2 R2325 Mathematical modeling In this talk, we will discuss a recent result obtained in collaboration with Davide Giovagnoli and Luis Silvestre, where we solve a standing conjecture asserting that, as in the local setting, solutions of the homogeneous equation are still Hölder differentiable.
