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math.AP2022★ 1 cited
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…
math.AP2019
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…
math.AP2019
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…