4 papers
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…
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…
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…
Almost Sure Scattering of the Energy Critical NLS in
Katie Marsden
We study the energy-critical nonlinear Schrödinger equation with randomised initial data in dimensions . We prove that the Cauchy problem is almost surely globally well-posed…