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math.AP2023
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…
math.AP2022★ 1 cited
Co-dimension one stable blowup for the quadratic wave equation beyond the light cone
Po-Ning Chen, Roland Donninger, Irfan Glogić +2
We study the stability of an explicitly known, non-trivial self-similar blowup solution of the quadratic wave equation in the lowest energy supercritical dimension . This so…
math.AP2016
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…