The Arctic is a complex environment. In this first talk we focus on thermal processes (i.e., the nonlinear heat equation with a free boundary) and the appropriate mathematical framework in the sense of distributions, as well as on the computational aspects.

This talk is partially based on joint work with Lisa Bigler (Math PHD 2022, currently in Sandia National Lab), and Naren Vohra (Math PHD 2023, currently at Losa Alamost National Lab).