33 citations · 45 across the 7 of their papers we have counts for
8 papers · 1 filter
Existence and stability of shrinkers for the harmonic map heat flow in higher dimensions
Irfan Glogić, Sarah Kistner, Birgit Schörkhuber
We study singularity formation for the heat flow of harmonic maps from . For each , we construct a compact, -dimensional, rotationally symmetric target manifold…
On blowup for the supercritical quadratic wave equation
Elek Csobo, Irfan Glogić, Birgit Schörkhuber
We study singularity formation for the focusing quadratic wave equation in the energy supercritical case, i.e., for . We find in closed form a new, non-trivial, radial, s…
Co-dimension one stable blowup for the supercritical cubic wave equation
Irfan Glogić, Birgit Schörkhuber
For the focusing cubic wave equation, we find an explicit, non-trivial self-similar blowup solution , which is defined on the whole space and exists in all supercritical dim…
Hyperboloidal similarity coordinates and a globally stable blowup profile for supercritical wave maps
Paweł Biernat, Roland Donninger, Birgit Schörkhuber
We consider co-rotational wave maps from (1+3)-dimensional Minkowski space into the three-sphere. This model exhibits an explicit blowup solution and we prove the asymptotic nonlin…
Stable self-similar blowup in the supercritical heat flow of harmonic maps
Paweł Biernat, Roland Donninger, Birgit Schörkhuber
We consider the heat flow of corotational harmonic maps from to the three-sphere and prove the nonlinear asymptotic stability of a particular self-similar shrinker th…
On blowup in supercritical wave equations
Roland Donninger, Birgit Schörkhuber
We study the blowup behavior for the focusing energy-supercritical semilinear wave equation in 3 space dimensions without symmetry assumptions on the data. We prove the stability o…
Stable blow up dynamics for energy supercritical wave equations
Roland Donninger, Birgit Schörkhuber
We study the semilinear wave equation \[ \partial_t^2 ψ-Δψ=|ψ|^{p-1}ψ\] for with radial data in three spatial dimensions. There exists an explicit solution which blows up a…
Stable self-similar blow up for energy subcritical wave equations
Roland Donninger, Birgit Schörkhuber
We consider the semilinear wave equation \[ \partial_t^2 ψ-Δψ=|ψ|^{p-1}ψ\] for with radial data in . This equation admits an explicit spatially homogeneous blow…