3 papers
math.NA2026
A splitting scheme for the wave maps equation at low regularity
Katie Marsden, Frédéric Rousset, Katharina Schratz
We prove convergence of a filtered Lie splitting scheme for the wave maps equation with low regularity initial data in dimension 3. The convergence analysis is performed in discret…
math.AP2026
The Hamiltonian formulation of continuum Calogero-Moser models
Rowan Killip, Katie Marsden, Monica Vişan
Recent well-posedness results have identified the Hardy space as the natural phase space for continuum Calogero-Moser models, both focusing and defocusing, on the line and…
math.AP2024
Global Solutions to the 3D Half-Wave Maps Equation with Angular Regularity
Katie Marsden
The half-wave maps equation is a nonlocal geometric equation arising in the continuum dynamics of Haldane-Shashtry and Calogero-Moser spin systems. In high dimensions , glo…