3 problems

Let ${\bf g}_{M,a}$ be a subextremal Kerr metric. Let $(\Sigma_0,g_0,k_0)$ be a suitably small perturbation of its initial data, where $\Sigma_0$ is a 3-dimensional manifold, $g_0$…

Consider the one-dimensional Dirichlet problem … with the Dirichlet boundary conditions and initial data specified in the paper, and let $u$ denote its solution. Large-population w…

Point-vortex limit conjecture. A massive particle moves according to