12:30–1:30 pm
Tuesday, April 2, 2024, at 12:30 pm, in Searle 240A, 5735 S. Ellis Avenue
CAM & Stats Student Seminar
Peter Nekrasov, Committee on Computational and Applied Mathematics
"Flexural Wave Scattering in Sea Ice and Ice Shelves"
Abstract
Sea ice and ice shelves interact with the ocean to produce vibrations known as flexural waves. These waves commonly possess amplitudes sufficient to induce calving and break-up, and their behavior is governed by the thin-plate equation, a fourth-order (biharmonic) differential equation. Utilizing the integral equation framework, we have designed fast numerical solvers for a variety of wave scattering problems, including scattering by melt ponds, surface rolls, and cracks in the ice cover. As wave activity continues to grow in the polar regions, it is important to understand the flexural dynamics of ice sheets in order to monitor and predict their stability.