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Explore the length-preserving elastic flow in arbitrary codimension with free boundary on hypersurfaces through this 35-minute mathematical lecture. Examine how this constrained gradient flow manifests as a nonlocal evolution equation featuring nonlinear higher-order boundary conditions. Discover how a suitable non-flatness assumption guarantees global existence and subconvergence to critical points in this advanced mathematical framework. Learn about cutting-edge research in free boundary problems through collaborative work between Anna Dall'Acqua and Manuel Schlierf, presented as part of the Erwin Schrödinger International Institute's thematic programme on Free Boundary Problems.
