3 papers
math.AP2025
On stable self-similar blowup for corotational wave maps and equivariant Yang-Mills connections
Roland Donninger, Matthias Ostermann
We consider corotational wave maps from Minkowski spacetime into the sphere and the equivariant Yang-Mills equation for all energy-supercritical dimensions. Both models have explic…
math.AP2024
Stable blowup for focusing semilinear wave equations in all dimensions
Matthias Ostermann
We consider the wave equation with focusing power nonlinearity. The associated ODE in time gives rise to a self-similar solution known as the ODE blowup. We prove the nonlinear asy…
math.AP2024
A globally stable self-similar blowup profile in energy supercritical Yang-Mills theory
Roland Donninger, Matthias Ostermann
This paper is concerned with the Cauchy problem for an energy-supercritical nonlinear wave equation in odd space dimensions that arises in equivariant Yang-Mills theory. In each di…