4 papers
Stability of global self-similar solutions to the cubic wave equation and the wave maps equation
Akansha Sanwal, Birgit Schörkhuber, David Wallauch
We study the long-time stability of global self-similar solutions to two energy supercritical nonlinear wave equations, namely, the cubic nonlinear wave equation in dimensions…
Singularity formation for the higher dimensional Skyrme model in the strong field limit
Po-Ning Chen, Michael McNulty, Birgit Schörkhuber
This paper concerns the formation of singularities in the classical -dimensional, co-rotational Skyrme model. While it is well established that blowup is excluded in …
Stable blowup for the supercritical Yang-Mills heat flow
Roland Donninger, Birgit Schörkhuber
In this paper, we consider the heat flow for Yang-Mills connections on . In the equivariant setting, the Yang-Mills heat equation reduces to a si…
Stable blowup for wave equations in odd space dimensions
Roland Donninger, Birgit Schörkhuber
We consider semilinear wave equations with focusing power nonlinearities in odd space dimensions . We prove that for every there exists an open set…