20 citations · 43 across the 8 of their papers we have counts for
8 papers
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…
Stable singularity formation for the Keller-Segel system in three dimensions
Irfan Glogić, Birgit Schörkhuber
We consider the parabolic-elliptic Keller-Segel system in dimensions , which is the mass supercritical case. This system is known to exhibit rich dynamical behavior inclu…
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…
Globally stable blowup profile for supercritical wave maps in all dimensions
Irfan Glogić
We consider wave maps from the -dimensional Minkowski space into the -sphere. It is known from the work of Bizoń and Biernat \cite{BizBie15} that in the energy-supercriti…
Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case
Irfan Glogić, Birgit Schörkhuber
We study the heat flow for Yang-Mills connections on . It is well-known that in dimensions this model admits homothetically shrinking so…
Threshold for blowup for the supercritical cubic wave equation
Irfan Glogić, Maciej Maliborski, Birgit Schörkhuber
We consider the focusing cubic wave equation in the energy supercritical case, i.e., in dimensions . For this model an explicit nontrivial self-similar blowup solution wa…
Mode stability of self-similar wave maps in higher dimensions
Ovidiu Costin, Roland Donninger, Irfan Glogić
We consider co-rotational wave maps from Minkowski space in dimensions to the -sphere. Recently, Bizoń and Biernat found explicit self-similar solutions for each dimension…
On the stability of self-similar solutions to nonlinear wave equations
Ovidiu Costin, Roland Donninger, Irfan Glogić +1
We consider an explicit self-similar solution to an energy-supercritical Yang-Mills equation and prove its mode stability. Based on earlier work by one of the authors, we obtain a…