2 papers
math.AP2024
Finite time blow up for the energy critical Zakharov system II: exact solutions
Joachim Krieger, Tobias Schmid
Based on our companion paper [Krieger-Schmid, 2024], we show that the 4D energy critical Zakharov system admits finite time type II blow up solutions. The main new difficulty this…
math.AP2024
Finite time blow up for the energy critical Zakharov system I: approximate solutions
Joachim Krieger, Tobias Schmid
We construct approximate solutions of the critical 4D Zakharov system which collapse in finite time to a singular renormalization of the solitary bulk solutions $ (λe…